diff --git a/.gitignore b/.gitignore
new file mode 100644
index 0000000000000000000000000000000000000000..f3de7319301c23eae40bdbc3ce9abfbcf8bfbbd8
--- /dev/null
+++ b/.gitignore
@@ -0,0 +1,39 @@
+# List of untracked files to ignore
+
+### MATLAB ###
+# Windows default autosave extension
+*.asv
+
+# MATLAB project files
+resources
+Acme.prj
+
+# OSX / *nix default autosave extension
+*.m~
+
+# Compiled MEX binaries (all platforms)
+*.mex*
+
+# Packaged app and toolbox files
+*.mlappinstall
+*.mltbx
+
+# Generated helpsearch folders
+helpsearch*/
+
+# Simulink code generation folders
+slprj/
+sccprj/
+
+# Matlab code generation folders
+codegen/
+
+# Simulink autosave extension
+*.autosave
+
+# Simulink cache files
+*.slxc
+
+#matlab data
+*.mat
+
diff --git a/README.md b/README.md
index e4f66bb6780acf6e04b5b7cd3bcd977a220fc6ea..30b56e743f4bd770cf2b51eeca032e8be72df3be 100644
--- a/README.md
+++ b/README.md
@@ -1,92 +1,3 @@
-# ACME public
+# ACME
-Accelerometer Models Extended: simulink package with the framework to simulate accelerometers for space-based missions, from GRACE-like to after LISA.
-
-## Getting started
-
-To make it easy for you to get started with GitLab, here's a list of recommended next steps.
-
-Already a pro? Just edit this README.md and make it your own. Want to make it easy? [Use the template at the bottom](#editing-this-readme)!
-
-## Add your files
-
-- [ ] [Create](https://docs.gitlab.com/ee/user/project/repository/web_editor.html#create-a-file) or [upload](https://docs.gitlab.com/ee/user/project/repository/web_editor.html#upload-a-file) files
-- [ ] [Add files using the command line](https://docs.gitlab.com/ee/gitlab-basics/add-file.html#add-a-file-using-the-command-line) or push an existing Git repository with the following command:
-
-```
-cd existing_repo
-git remote add origin https://gitlab.aei.uni-hannover.de/arthur.reis/acme-public.git
-git branch -M main
-git push -uf origin main
-```
-
-## Integrate with your tools
-
-- [ ] [Set up project integrations](https://gitlab.aei.uni-hannover.de/arthur.reis/acme-public/-/settings/integrations)
-
-## Collaborate with your team
-
-- [ ] [Invite team members and collaborators](https://docs.gitlab.com/ee/user/project/members/)
-- [ ] [Create a new merge request](https://docs.gitlab.com/ee/user/project/merge_requests/creating_merge_requests.html)
-- [ ] [Automatically close issues from merge requests](https://docs.gitlab.com/ee/user/project/issues/managing_issues.html#closing-issues-automatically)
-- [ ] [Enable merge request approvals](https://docs.gitlab.com/ee/user/project/merge_requests/approvals/)
-- [ ] [Automatically merge when pipeline succeeds](https://docs.gitlab.com/ee/user/project/merge_requests/merge_when_pipeline_succeeds.html)
-
-## Test and Deploy
-
-Use the built-in continuous integration in GitLab.
-
-- [ ] [Get started with GitLab CI/CD](https://docs.gitlab.com/ee/ci/quick_start/index.html)
-- [ ] [Analyze your code for known vulnerabilities with Static Application Security Testing(SAST)](https://docs.gitlab.com/ee/user/application_security/sast/)
-- [ ] [Deploy to Kubernetes, Amazon EC2, or Amazon ECS using Auto Deploy](https://docs.gitlab.com/ee/topics/autodevops/requirements.html)
-- [ ] [Use pull-based deployments for improved Kubernetes management](https://docs.gitlab.com/ee/user/clusters/agent/)
-- [ ] [Set up protected environments](https://docs.gitlab.com/ee/ci/environments/protected_environments.html)
-
-***
-
-# Editing this README
-
-When you're ready to make this README your own, just edit this file and use the handy template below (or feel free to structure it however you want - this is just a starting point!). Thank you to [makeareadme.com](https://www.makeareadme.com/) for this template.
-
-## Suggestions for a good README
-Every project is different, so consider which of these sections apply to yours. The sections used in the template are suggestions for most open source projects. Also keep in mind that while a README can be too long and detailed, too long is better than too short. If you think your README is too long, consider utilizing another form of documentation rather than cutting out information.
-
-## Name
-Choose a self-explaining name for your project.
-
-## Description
-Let people know what your project can do specifically. Provide context and add a link to any reference visitors might be unfamiliar with. A list of Features or a Background subsection can also be added here. If there are alternatives to your project, this is a good place to list differentiating factors.
-
-## Badges
-On some READMEs, you may see small images that convey metadata, such as whether or not all the tests are passing for the project. You can use Shields to add some to your README. Many services also have instructions for adding a badge.
-
-## Visuals
-Depending on what you are making, it can be a good idea to include screenshots or even a video (you'll frequently see GIFs rather than actual videos). Tools like ttygif can help, but check out Asciinema for a more sophisticated method.
-
-## Installation
-Within a particular ecosystem, there may be a common way of installing things, such as using Yarn, NuGet, or Homebrew. However, consider the possibility that whoever is reading your README is a novice and would like more guidance. Listing specific steps helps remove ambiguity and gets people to using your project as quickly as possible. If it only runs in a specific context like a particular programming language version or operating system or has dependencies that have to be installed manually, also add a Requirements subsection.
-
-## Usage
-Use examples liberally, and show the expected output if you can. It's helpful to have inline the smallest example of usage that you can demonstrate, while providing links to more sophisticated examples if they are too long to reasonably include in the README.
-
-## Support
-Tell people where they can go to for help. It can be any combination of an issue tracker, a chat room, an email address, etc.
-
-## Roadmap
-If you have ideas for releases in the future, it is a good idea to list them in the README.
-
-## Contributing
-State if you are open to contributions and what your requirements are for accepting them.
-
-For people who want to make changes to your project, it's helpful to have some documentation on how to get started. Perhaps there is a script that they should run or some environment variables that they need to set. Make these steps explicit. These instructions could also be useful to your future self.
-
-You can also document commands to lint the code or run tests. These steps help to ensure high code quality and reduce the likelihood that the changes inadvertently break something. Having instructions for running tests is especially helpful if it requires external setup, such as starting a Selenium server for testing in a browser.
-
-## Authors and acknowledgment
-Show your appreciation to those who have contributed to the project.
-
-## License
-For open source projects, say how it is licensed.
-
-## Project status
-If you have run out of energy or time for your project, put a note at the top of the README saying that development has slowed down or stopped completely. Someone may choose to fork your project or volunteer to step in as a maintainer or owner, allowing your project to keep going. You can also make an explicit request for maintainers.
+Accelerometer Models Extended: package with the framework to simulate accelerometers for space-based missions, from GRACE-like to after LISA.
\ No newline at end of file
diff --git a/core/AcmeBlock.m b/core/AcmeBlock.m
new file mode 100644
index 0000000000000000000000000000000000000000..bd7fbf64a1e7be5f9110f9f5218585b3bf83ef00
--- /dev/null
+++ b/core/AcmeBlock.m
@@ -0,0 +1,47 @@
+classdef AcmeBlock
+ %ACMEBLOCK Summary of this class goes here
+ % Detailed explanation goes here
+
+ properties
+ name
+ model
+ blockhandle
+ blocktype
+ parameters
+ end
+
+ methods
+ function obj = AcmeBlock(name, model, parameters)
+ %ACMEBLOCK Construct an instance of this class
+ % Detailed explanation goes here
+ % receives from AcmeBlockType
+ obj.name = name;
+ obj.model = model;
+ %obj.blockhandle = 1;
+ obj.blockhandle = Simulink.findBlocks(model,'Name',name);
+ assert(~isempty(obj.blockhandle), "Could not find block '%s' in model '%s'", name, model);
+
+ obj.parameters = parameters;
+ for iparm = 1:length(obj.parameters.name)
+ setBlockParm(obj,obj.parameters.name{iparm},...
+ obj.parameters.value{iparm});
+ end
+ end
+
+ function setBlockParm(obj,name,value)
+ s = "";
+ if isnumeric(value)
+ if isequal(size(value),[1 1])
+ s = num2str(value);
+ else
+ s = mat2str(value);
+ end
+ elseif isstring(value)
+ s = value;
+ end
+ set_param(obj.blockhandle,name,s);
+ %set_param_test(obj.blockhandle,name,s);
+ end
+ end
+end
+
diff --git a/core/actuators/actParaPlates.png b/core/actuators/actParaPlates.png
new file mode 100644
index 0000000000000000000000000000000000000000..767544ddea6642284091287d12656b0d55a91ec8
Binary files /dev/null and b/core/actuators/actParaPlates.png differ
diff --git a/core/actuators/actParaPlates.slx b/core/actuators/actParaPlates.slx
new file mode 100644
index 0000000000000000000000000000000000000000..41c91c24af4c6bf13adcf4380681d2655bc4327e
Binary files /dev/null and b/core/actuators/actParaPlates.slx differ
diff --git a/core/actuators/setActuatorParaPlates.m b/core/actuators/setActuatorParaPlates.m
new file mode 100644
index 0000000000000000000000000000000000000000..86c26ab8d2701e13d8cc857a6f7689e860e964b9
--- /dev/null
+++ b/core/actuators/setActuatorParaPlates.m
@@ -0,0 +1,77 @@
+function blockHandle = setActuatorParaPlates(varargin)%model, block, Kp ,Ki ,Kd ,...
+ %Vp ,Vt ,eps0 ,faceArea ,gap)
+%SETACTUATORPARAPLATES - Sets the initial parameters of a paralel plates
+%actuator block.
+%Sets the initial parameters of a paralel plates actuator block. The PID gains
+%can be obtained with the tuning app
+%
+% Syntax: setActuatorParaPlates(Kp,Ki,Kd,Vp,Vt,eps0,faceArea,gap)
+%
+% Inputs:
+% Kp - Proportional gain, double;
+% Ki - Integral gain, double;
+% Kd - Differential gain, double;
+% Vp - Polarization voltage, double;
+% Vt - sqrt of squares of the polarization and detection voltages;
+% eps0 - Vacuum permittivity, F/m, double;
+% faceArea - area of the plates, m^2, double;
+% gap - nominal gap between the plates, m, double;
+%
+% See also: setSensParaPlates
+%
+% Author: Arthur Reis
+% email: arthur.reis@aei.mpg.de
+% Nov 2021; Last revision: 16.Feb.2022;
+
+% try to load from local json
+% should be handle or name
+if strcmp(varargin{1},'blockName')
+ blockName = varargin{2};
+elseif strcmp(varargin{1},'blockHandle')
+ blockName = get_param(varargin{2},'Name');
+end
+
+%if file exists
+%blockName = get_param(varargin{1},'Name');
+%JSONFILE_name= sprintf(strcat(blockName,'.json'));
+%fid=fopen(JSONFILE_name,'r');
+%raw = fread(fid,inf);
+%str = char(raw');
+%j = jsondecode(str);
+% parses existing json as defaults
+% and allows updating
+
+p = inputParser;
+addParameter(p, 'model' , '');
+addParameter(p, 'blockName', '');
+addParameter(p, 'Kp' , 0, @isnumeric);
+addParameter(p, 'Ki' , 0, @isnumeric);
+addParameter(p, 'Kd' , 0, @isnumeric);
+addParameter(p, 'Vp' , 0, @isnumeric);
+addParameter(p, 'Vt' , 0, @isnumeric);
+addParameter(p, 'eps0' , 0, @isnumeric);
+addParameter(p, 'faceArea' , 0, @isnumeric);
+addParameter(p, 'gap' , 0, @isnumeric);
+parse(p, varargin{:});
+j = p.Results;
+js = jsonencode(j,'PrettyPrint',true);
+%save p.Results as json
+JSONFILE_name= sprintf(strcat(p.Results.blockName,'.json'));
+fid=fopen(JSONFILE_name,'w');
+fprintf(fid, js);
+fclose(fid);
+
+
+
+blockHandle = Simulink.findBlocks(j.model,'Name',j.blockName);
+set_param(blockHandle, 'Kp' , num2str(j.Kp));
+set_param(blockHandle, 'Ki' , num2str(j.Ki));
+set_param(blockHandle, 'Kd' , num2str(j.Kd));
+set_param(blockHandle, 'Vp' , num2str(j.Vp));
+set_param(blockHandle, 'Vt' , num2str(j.Vt));
+set_param(blockHandle, 'eps0' , num2str(j.eps0));
+set_param(blockHandle, 'faceArea', num2str(j.faceArea));
+set_param(blockHandle, 'gap' , num2str(j.gap));
+
+end
+
diff --git a/core/actuators/setSinglePlate.m b/core/actuators/setSinglePlate.m
new file mode 100644
index 0000000000000000000000000000000000000000..73cceb07d7429a1fd6d7d1920c13b91ce70011bb
--- /dev/null
+++ b/core/actuators/setSinglePlate.m
@@ -0,0 +1,66 @@
+function blockHandle = setSinglePlate(varargin)
+%SETACTUATORPARAPLATES - Sets the initial parameters of a paralel plates
+%actuator block.
+%Sets the initial parameters of a paralel plates actuator block. The PID gains
+%can be obtained with the tuning app
+%
+% Syntax: setActuatorParaPlates(Kp,Ki,Kd,Vp,Vt,eps0,faceArea,gap)
+%
+% Inputs:
+% Kp - Proportional gain, double;
+% Ki - Integral gain, double;
+% Kd - Differential gain, double;
+% Vp - Polarization voltage, double;
+% Vt - sqrt of squares of the polarization and detection voltages;
+% eps0 - Vacuum permittivity, F/m, double;
+% faceArea - area of the plates, m^2, double;
+% gap - nominal gap between the plates, m, double;
+%
+% See also: setSensParaPlates
+%
+% Author: Arthur Reis
+% email: arthur.reis@aei.mpg.de
+% Nov 2021; Last revision: 16.Feb.2022;
+
+% try to load from local json
+% should be handle or name
+if strcmp(varargin{1},'blockName')
+ blockName = varargin{2};
+elseif strcmp(varargin{1},'blockHandle')
+ blockName = get_param(varargin{2},'Name');
+end
+
+%if file exists
+%blockName = get_param(varargin{1},'Name');
+%JSONFILE_name= sprintf(strcat(blockName,'.json'));
+%fid=fopen(JSONFILE_name,'r');
+%raw = fread(fid,inf);
+%str = char(raw');
+%j = jsondecode(str);
+% parses existing json as defaults
+% and allows updating
+
+p = inputParser;
+addParameter(p, 'model' , '');
+addParameter(p, 'blockName', '');
+addParameter(p, 'Vt' , 0, @isnumeric);
+addParameter(p, 'eps0' , 0, @isnumeric);
+addParameter(p, 'faceArea' , 0, @isnumeric);
+addParameter(p, 'gap' , 0, @isnumeric);
+parse(p, varargin{:});
+j = p.Results;
+js = jsonencode(j,'PrettyPrint',true);
+%save p.Results as json
+JSONFILE_name= sprintf(strcat(p.Results.blockName,'.json'));
+fid=fopen(JSONFILE_name,'w');
+fprintf(fid, js);
+fclose(fid);
+
+blockHandle = Simulink.findBlocks(j.model,'Name',j.blockName);
+set_param(blockHandle, 'Vt' , num2str(j.Vt));
+set_param(blockHandle, 'eps0' , num2str(j.eps0));
+set_param(blockHandle, 'faceArea', num2str(j.faceArea));
+set_param(blockHandle, 'gap' , num2str(j.gap));
+
+end
+
diff --git a/core/actuators/setSinglePlate_Vsqr.m b/core/actuators/setSinglePlate_Vsqr.m
new file mode 100644
index 0000000000000000000000000000000000000000..e32ceb26095fd01f45376475be0f9518cbbe02f6
--- /dev/null
+++ b/core/actuators/setSinglePlate_Vsqr.m
@@ -0,0 +1,66 @@
+function blockHandle = setSinglePlate_Vsqr(varargin)
+%SETACTUATORPARAPLATES - Sets the initial parameters of a paralel plates
+%actuator block.
+%Sets the initial parameters of a paralel plates actuator block. The PID gains
+%can be obtained with the tuning app
+%
+% Syntax: setActuatorParaPlates(Kp,Ki,Kd,Vp,Vt,eps0,faceArea,gap)
+%
+% Inputs:
+% Kp - Proportional gain, double;
+% Ki - Integral gain, double;
+% Kd - Differential gain, double;
+% Vp - Polarization voltage, double;
+% Vt - sqrt of squares of the polarization and detection voltages;
+% eps0 - Vacuum permittivity, F/m, double;
+% faceArea - area of the plates, m^2, double;
+% gap - nominal gap between the plates, m, double;
+%
+% See also: setSensParaPlates
+%
+% Author: Arthur Reis
+% email: arthur.reis@aei.mpg.de
+% Nov 2021; Last revision: 16.Feb.2022;
+
+% try to load from local json
+% should be handle or name
+if strcmp(varargin{1},'blockName')
+ blockName = varargin{2};
+elseif strcmp(varargin{1},'blockHandle')
+ blockName = get_param(varargin{2},'Name');
+end
+
+%if file exists
+%blockName = get_param(varargin{1},'Name');
+%JSONFILE_name= sprintf(strcat(blockName,'.json'));
+%fid=fopen(JSONFILE_name,'r');
+%raw = fread(fid,inf);
+%str = char(raw');
+%j = jsondecode(str);
+% parses existing json as defaults
+% and allows updating
+
+p = inputParser;
+addParameter(p, 'model' , '');
+addParameter(p, 'blockName', '');
+addParameter(p, 'Vt' , 0, @isnumeric);
+addParameter(p, 'eps0' , 0, @isnumeric);
+addParameter(p, 'faceArea' , 0, @isnumeric);
+addParameter(p, 'gap' , 0, @isnumeric);
+parse(p, varargin{:});
+j = p.Results;
+js = jsonencode(j,'PrettyPrint',true);
+%save p.Results as json
+JSONFILE_name= sprintf(strcat(p.Results.blockName,'.json'));
+fid=fopen(JSONFILE_name,'w');
+fprintf(fid, js);
+fclose(fid);
+
+blockHandle = Simulink.findBlocks(j.model,'Name',j.blockName);
+set_param(blockHandle, 'Vt' , num2str(j.Vt));
+set_param(blockHandle, 'eps0' , num2str(j.eps0));
+set_param(blockHandle, 'faceArea', num2str(j.faceArea));
+set_param(blockHandle, 'gap' , num2str(j.gap));
+
+end
+
diff --git a/core/actuators/singlePlate.slx b/core/actuators/singlePlate.slx
new file mode 100644
index 0000000000000000000000000000000000000000..570b8946cf717aa653812a28508c0b0b03ad7f17
Binary files /dev/null and b/core/actuators/singlePlate.slx differ
diff --git a/core/actuators/singlePlate_Vsqr.slx b/core/actuators/singlePlate_Vsqr.slx
new file mode 100644
index 0000000000000000000000000000000000000000..fbad84bb2ab10f045f5450d1d417d3b3cffd94a5
Binary files /dev/null and b/core/actuators/singlePlate_Vsqr.slx differ
diff --git a/core/component/Electrode.m b/core/component/Electrode.m
new file mode 100644
index 0000000000000000000000000000000000000000..dccf233078ff31226150b21332396744ded7a434
--- /dev/null
+++ b/core/component/Electrode.m
@@ -0,0 +1,15 @@
+classdef Electrode < AcmeBlock
+ %ELECTRODE Summary of this class goes here
+ methods
+ function obj = Electrode(name, model, Vbias, pos0, theta0, area)
+ %ELECTRODE Construct an instance of this class
+ %setElectrode(model, block, Vbias, pos0, theta0, area)
+
+ parameters.name = ["Vbias", "pos0", "theta0", "area"];
+ parameters.value = {Vbias , pos0 , theta0 , area };
+ obj = obj@AcmeBlock(name, model, parameters);
+ obj.blocktype = "electrode";
+ end
+ end
+end
+
diff --git a/core/component/SimpleElectrode.png b/core/component/SimpleElectrode.png
new file mode 100644
index 0000000000000000000000000000000000000000..22d697e1de818f967a21735280011ec0145b99a6
Binary files /dev/null and b/core/component/SimpleElectrode.png differ
diff --git a/core/component/electrode.png b/core/component/electrode.png
new file mode 100644
index 0000000000000000000000000000000000000000..22d697e1de818f967a21735280011ec0145b99a6
Binary files /dev/null and b/core/component/electrode.png differ
diff --git a/core/component/electrode.slx b/core/component/electrode.slx
new file mode 100644
index 0000000000000000000000000000000000000000..12fdbc3806b43404edda0ebcd01b62287eb11281
Binary files /dev/null and b/core/component/electrode.slx differ
diff --git a/core/component/planeCapacitor.png b/core/component/planeCapacitor.png
new file mode 100644
index 0000000000000000000000000000000000000000..d924409e922f5da97171444075d542a0f413c6b6
Binary files /dev/null and b/core/component/planeCapacitor.png differ
diff --git a/core/component/planeCapacitor.slx b/core/component/planeCapacitor.slx
new file mode 100644
index 0000000000000000000000000000000000000000..66e557eb652c43e403e5dd847076d0657ad695fe
Binary files /dev/null and b/core/component/planeCapacitor.slx differ
diff --git a/core/component/setElectrode.m b/core/component/setElectrode.m
new file mode 100644
index 0000000000000000000000000000000000000000..6877aca5f4d0573e45fd533b2dba15525f99448e
--- /dev/null
+++ b/core/component/setElectrode.m
@@ -0,0 +1,57 @@
+function blockHandle = setElectrode(varargin)
+%
+%SETELECTRODE - Sets the initial parameters of a electrode
+% Sets the initial parameters of a electrode, to be paired to form a parallel
+% plates capacitor.
+%
+% Syntax: blockHandle = setElectrode(model, block, Vbias, pos0, n0, area)
+%
+% Inputs:
+% model - Name of the Simulink model, string;
+% block - Name of the target instance of the Injection Block, string;
+% Vbias - Offset voltage, V;
+% pos0 - initial/nominal position of the center of the plate, m.
+% theta0- initial/nominal direction of plate, comparing to the direction
+% towards the other plate of the capacitor.
+% area - area of the plate, m^s
+%
+% Output:
+% blockHandle - Simulink block instance handle reference number;
+%
+% See also:
+%
+% Author: Arthur Reis
+% email: arthur.reis@aei.mpg.de
+% Last revision: 7.Apr.2022;
+%model, block, Vbias, pos0, theta0, area
+defaultSolver = "Variable-step";
+defaultTheta0 = 0;
+
+p = inputParser;
+
+addRequired(p, 'model');
+addRequired(p, 'block');
+addRequired(p, 'Vbias', @(x) isnumeric(x) && isscalar(x));
+addRequired(p, 'pos0', @(x) isnumeric(x) && isscalar(x));
+addRequired(p, 'area', @(x) isnumeric(x) && isscalar(x));
+addOptional(p, 'theta0', defaultTheta0);
+addParameter(p, "solver", defaultSolver);
+
+parse(p, varargin{:});
+
+blockHandle = Simulink.findBlocks(p.Results.model,'Name',p.Results.block);
+set_param(blockHandle,'Vbias', num2str(p.Results.Vbias));
+set_param(blockHandle,'pos0', num2str(p.Results.pos0));
+set_param(blockHandle,'theta0',num2str(p.Results.theta0));
+set_param(blockHandle,'area', num2str(p.Results.area));
+
+if strcmp(p.Results.solver,defaultSolver)
+ load_system("electrode");
+ set_param("electrode","SolverType","Variable-step");
+elseif strcmp(p.Results.solver,'Fixed-step')
+ %set_param(blockHandle,'Vbias', num2str(Vbias));
+ load_system("electrode");
+ set_param("electrode","SolverType", "Fixed-step")
+end
+end
+
diff --git a/core/component/setPlaneCapacitor.m b/core/component/setPlaneCapacitor.m
new file mode 100644
index 0000000000000000000000000000000000000000..d5877399f090568bc7abeaca8d402eb95cb090df
--- /dev/null
+++ b/core/component/setPlaneCapacitor.m
@@ -0,0 +1,40 @@
+function blockHandle = setPlaneCapacitor(varargin)
+%SETPLANECAPACITOR - Sets the initial parameters of a capacitor.
+%Sets the initial parameters of a capacitor. Based on a parallel planes capacitor.
+%
+% Syntax: blockHandle = setPlaneCapacitor(model, block, eps0)
+%
+% Inputs:
+% model - Name of the Simulink model, string;
+% block - Name of the target instance of the Injection Block, string;
+% eps0 - Vacuum permittivity, F/m, double;
+%
+% Outputs:
+% blockHandle - Simulink block instance handle reference number;
+% See also:
+%
+% Author: Arthur Reis
+% email: arthur.reis@aei.mpg.de
+% Apr 2022; Last revision: 7.Apr.2022;
+defaultEps0 = 8.8541878128e-12;
+defaultSolver = "Variable-step";
+
+p = inputParser;
+addRequired(p, 'model');
+addRequired(p, 'block');
+addOptional(p, 'eps0', defaultEps0, @(x) isnumeric(x) && isscalar(x));
+addParameter(p, "solver", defaultSolver);
+
+parse(p, varargin{:});
+
+blockHandle = Simulink.findBlocks(p.Results.model,'Name',p.Results.block);
+set_param(blockHandle,'eps0', num2str(p.Results.eps0));
+
+% if strcmp(p.Results.solver,defaultSolver)
+% set_param('planeCapacitor','SolverType','Variable-step');
+% elseif strcmp(p.Results.solver,'Fixed-step')
+% %set_param(blockHandle,'Vbias', num2str(Vbias));
+% set_param('planeCapacitor', 'SolverType', 'Fixed-step')
+% end
+end
+
diff --git a/core/component/setSinglePlate.m b/core/component/setSinglePlate.m
new file mode 100644
index 0000000000000000000000000000000000000000..73cceb07d7429a1fd6d7d1920c13b91ce70011bb
--- /dev/null
+++ b/core/component/setSinglePlate.m
@@ -0,0 +1,66 @@
+function blockHandle = setSinglePlate(varargin)
+%SETACTUATORPARAPLATES - Sets the initial parameters of a paralel plates
+%actuator block.
+%Sets the initial parameters of a paralel plates actuator block. The PID gains
+%can be obtained with the tuning app
+%
+% Syntax: setActuatorParaPlates(Kp,Ki,Kd,Vp,Vt,eps0,faceArea,gap)
+%
+% Inputs:
+% Kp - Proportional gain, double;
+% Ki - Integral gain, double;
+% Kd - Differential gain, double;
+% Vp - Polarization voltage, double;
+% Vt - sqrt of squares of the polarization and detection voltages;
+% eps0 - Vacuum permittivity, F/m, double;
+% faceArea - area of the plates, m^2, double;
+% gap - nominal gap between the plates, m, double;
+%
+% See also: setSensParaPlates
+%
+% Author: Arthur Reis
+% email: arthur.reis@aei.mpg.de
+% Nov 2021; Last revision: 16.Feb.2022;
+
+% try to load from local json
+% should be handle or name
+if strcmp(varargin{1},'blockName')
+ blockName = varargin{2};
+elseif strcmp(varargin{1},'blockHandle')
+ blockName = get_param(varargin{2},'Name');
+end
+
+%if file exists
+%blockName = get_param(varargin{1},'Name');
+%JSONFILE_name= sprintf(strcat(blockName,'.json'));
+%fid=fopen(JSONFILE_name,'r');
+%raw = fread(fid,inf);
+%str = char(raw');
+%j = jsondecode(str);
+% parses existing json as defaults
+% and allows updating
+
+p = inputParser;
+addParameter(p, 'model' , '');
+addParameter(p, 'blockName', '');
+addParameter(p, 'Vt' , 0, @isnumeric);
+addParameter(p, 'eps0' , 0, @isnumeric);
+addParameter(p, 'faceArea' , 0, @isnumeric);
+addParameter(p, 'gap' , 0, @isnumeric);
+parse(p, varargin{:});
+j = p.Results;
+js = jsonencode(j,'PrettyPrint',true);
+%save p.Results as json
+JSONFILE_name= sprintf(strcat(p.Results.blockName,'.json'));
+fid=fopen(JSONFILE_name,'w');
+fprintf(fid, js);
+fclose(fid);
+
+blockHandle = Simulink.findBlocks(j.model,'Name',j.blockName);
+set_param(blockHandle, 'Vt' , num2str(j.Vt));
+set_param(blockHandle, 'eps0' , num2str(j.eps0));
+set_param(blockHandle, 'faceArea', num2str(j.faceArea));
+set_param(blockHandle, 'gap' , num2str(j.gap));
+
+end
+
diff --git a/core/component/singlePlate.slx b/core/component/singlePlate.slx
new file mode 100644
index 0000000000000000000000000000000000000000..36a3ea468cc0b94e4ccd1b277154955f7f124021
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diff --git a/core/dynamics/dblIntTransFS.slx b/core/dynamics/dblIntTransFS.slx
new file mode 100644
index 0000000000000000000000000000000000000000..0f075a08ccb48fcfce3a9f221ef4a6defb3b370b
Binary files /dev/null and b/core/dynamics/dblIntTransFS.slx differ
diff --git a/core/dynamics/dblIntTransVS.slx b/core/dynamics/dblIntTransVS.slx
new file mode 100644
index 0000000000000000000000000000000000000000..7c5beb500ac64649823b98c6c8d6873809c0f8f5
Binary files /dev/null and b/core/dynamics/dblIntTransVS.slx differ
diff --git a/core/dynamics/dblintFS.png b/core/dynamics/dblintFS.png
new file mode 100644
index 0000000000000000000000000000000000000000..0c4134df9ae1ee582d50ef2039c2076421520866
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diff --git a/core/dynamics/dblintLinear.slx.original b/core/dynamics/dblintLinear.slx.original
new file mode 100644
index 0000000000000000000000000000000000000000..6df179afc5afa8abf5eddfa6564775945bc2daa9
Binary files /dev/null and b/core/dynamics/dblintLinear.slx.original differ
diff --git a/core/dynamics/dblintVS.png b/core/dynamics/dblintVS.png
new file mode 100644
index 0000000000000000000000000000000000000000..fecad7e7ce487d62e4040fd562710d63fba26a1b
Binary files /dev/null and b/core/dynamics/dblintVS.png differ
diff --git a/core/dynamics/setDblIntTrans.m b/core/dynamics/setDblIntTrans.m
new file mode 100644
index 0000000000000000000000000000000000000000..78f723bf9731c103249ace04e3067e2231a2d48f
--- /dev/null
+++ b/core/dynamics/setDblIntTrans.m
@@ -0,0 +1,48 @@
+function blockHandle = setDblIntTrans(model, block, varargin)
+%SETDOUBLEINTEGRATOR - Sets the initial parameters of a double interator block.
+%Sets the initial parameters for one instance of the double integrator SISO,
+%linear or rotational, block from Acme library.
+%
+% Syntax: setDoubleIntegrator(model, block, transformation, m, varargin)
+%
+% Inputs:
+% model - Name of the Simulink model, string
+% block - Name of the target instance of the Double Integrator Block, string
+% varargin - m - mass, kg
+% initial position
+% - dq0, initial velocity
+%
+% See also: setDoubleIntegrator_6DOF
+%
+% Author: Arthur Reis
+% email: arthur.reis@aei.mpg.de
+% Nov 2021; Last revision: 10.Nov.2021;
+
+blockHandle = Simulink.findBlocks(strcat(model),...
+ 'Name',block);
+
+defaultq0 = 0;
+defaultdq0 = 0;
+defaultdt = 1;
+%defaultSolver = 'VariableStep';
+
+p = inputParser;
+
+addRequired(p, 'm', @(x) (x > 0) && isnumeric(x) && isscalar(x));
+addRequired(p, 'gap', @(x) (x > 0) && isnumeric(x) && isscalar(x));
+addOptional(p, 'q0', defaultq0, @(x) isnumeric(x) && isscalar(x));
+addOptional(p, 'dq0', defaultdq0, @(x) isnumeric(x) && isscalar(x));
+%addParameter(p, 'solver', defaultsolver)
+%addOptional(p, 'dt', defaultdt, @(x) isnumeric(x) && isscalar(x));
+parse(p, varargin{:});
+
+set_param(blockHandle,'m', num2str(p.Results.m));
+set_param(blockHandle,'gap', num2str(p.Results.gap));
+set_param(blockHandle,'q0', num2str(p.Results.q0));
+set_param(blockHandle,'dq0',num2str(p.Results.dq0));
+%set_param(blockHandle,'dt_solver',num2str(p.Results.dt));
+%if p.Results.solver
+
+
+end
+
diff --git a/core/dynamics/setDoubleIntegrator.m b/core/dynamics/setDoubleIntegrator.m
new file mode 100644
index 0000000000000000000000000000000000000000..84f126417a137f77bb59b28794343d6a8fa10e8e
--- /dev/null
+++ b/core/dynamics/setDoubleIntegrator.m
@@ -0,0 +1,56 @@
+function blockHandle = setDoubleIntegrator(model, block, varargin)
+% ========================================================================
+% DEPRECATED, PLZ USE SEPARATED LINEAR AND ROTATION VERSIONS
+% ========================================================================
+%SETDOUBLEINTEGRATOR - Sets the initial parameters of a double interator block.
+%Sets the initial parameters for one instance of the double integrator SISO,
+%linear or rotational, block from Acme library.
+%
+% Syntax: setDoubleIntegrator(model, block, transformation, m, varargin)
+%
+% Inputs:
+% model - Name of the Simulink model, string
+% block - Name of the target instance of the Double Integrator Block, string
+%
+% varargin - optional
+% m - mass, kg
+% initial position
+% - dq0, initial velocity
+%
+% See also: setDoubleIntegrator_6DOF
+%
+% Author: Arthur Reis
+% email: arthur.reis@aei.mpg.de
+% Nov 2021; Last revision: 10.Nov.2021;
+
+blockHandle = Simulink.findBlocks(strcat(model),...
+ 'Name',block);
+
+%% process inputs
+defaultq0 = 0;
+defaultdq0 = 0;
+defaultmode = 'linear';
+expectedmodes = {'linear', 'rotational'};
+
+% parameter parsing, required parms will throw error w/ defaults;
+p = inputParser;
+%addrequired
+%add
+
+addRequired(p, 'm' , @(x) x>0);
+addOptional(p, 'q0' , defaultq0 , @(x) isnumeric(x));
+addOptional(p, 'dq0' , defaultdq0, @(x) isnumeric(x));
+addParameter(p, 'mode', defaultmode);
+
+parse(p, varargin{:});
+
+switch p.Results.mode
+ case 'linear'
+ set_param(blockHandle,'m', num2str(p.Results.m));
+ set_param(blockHandle,'q0', num2str(p.Results.q0));
+ set_param(blockHandle,'dq0',num2str(p.Results.dq0));
+ case 'rotational'
+ ...
+end
+end
+
diff --git a/core/libAcme.slx b/core/libAcme.slx
new file mode 100644
index 0000000000000000000000000000000000000000..79f927c1bdd7cfa45a69d8ca1c5271d97149eebb
Binary files /dev/null and b/core/libAcme.slx differ
diff --git a/core/noises/createAccelerationNoiseASD.m b/core/noises/createAccelerationNoiseASD.m
new file mode 100644
index 0000000000000000000000000000000000000000..685b4c662721b8e243e24b97bc487bbae244e964
--- /dev/null
+++ b/core/noises/createAccelerationNoiseASD.m
@@ -0,0 +1,29 @@
+function asd = AccelerationNoiseASD(freq, variables)
+%ACCELERATIONNOISEASD Returns ASD for a frequency input
+% Returns ASD for a frequency input;
+% can return for each axis
+ switch variables
+ case "x"
+ asd = 1./freq;
+ case "y"
+ asd = 1./freq.^2;
+ case "z"
+ asd = 1./freq.^3;
+ case "theta"
+ asd = 1./freq + freq;
+ case "psi"
+ asd = 1./freq + freq.^3;
+ case "phi"
+ asd = 10*(freq.^0);
+ case "linear"
+ asd = (1e-12 * sqrt(...
+ (1e-3./freq).^4 ./((1e-5./freq).^4+1) + ...
+ 1 + (freq/1e-1).^4));
+ case "angular"
+ asd = (1e-10 * sqrt(...
+ (1e-3./freq).^4 ./ ((1e-5./freq).^4+1) +...
+ 1 + (freq/1e-1).^4));
+ otherwise
+ asd = -1;
+ end
+end
\ No newline at end of file
diff --git a/core/noises/createNoiseFile.m b/core/noises/createNoiseFile.m
new file mode 100644
index 0000000000000000000000000000000000000000..b6ce25630a137a53f7a8379a8fa31b056920ed15
--- /dev/null
+++ b/core/noises/createNoiseFile.m
@@ -0,0 +1,61 @@
+function createNoiseFile(filename, mode, varargin)
+%SETINJECTIONBLOCK - Sets the initial parameters of a injection block.
+%Sets the initial parameters for one instance of the injection block from
+%Acme library.
+%
+% Syntax: createNoiseFile(filename, block, mode, varargin)
+% createNoiseFile(filename, block, 'FromWorkspace', workspaceVarName)
+% createNoiseFile(filename, block, 'FromTimeFunction', funcHandle, t_timeseries)
+% createNoiseFile(filename, block, 'FromASD', funcHandle, freqs, N, enbw)
+%
+% Inputs:
+% mode - Specifies how the Injection signal is defined.
+% 'FromWorkspace': will use a timeseries existing on the base workspace;
+% 'FromFunction': passes a function of time and a timeseries
+% argument;
+% 'FromASD': passes a ASD, function of frequency and create a time series using
+% the ENBW algorithm;
+% 'FromFile': uses the data stored in a file.
+% workspaceVarName - name of the variable in the workspace, string;
+% funcHandle - function (either of t or f). Function handle;
+% t_timeseries - time part of a timeseries to be used as argument;
+% freqs - array containing [fMin, fMax, fSample].
+% N = number of points that the freqs array has;
+% filename - name of the file containing the data
+%
+% See also: createFrequencyArray, createTimeseriesFromASD_ENBW
+%
+% Author: Arthur Reis
+% email: arthur.reis@aei.mpg.de
+% Jun 2022;
+
+
+if strcmp(mode,'FromWorkspace')
+ % varargin:
+ % model, block, mode, workspaceVarName
+ var = varargin{1};
+ eval(strcat('save(filename,''var'',''-v7.3'');'));
+
+elseif strcmp(mode,'FromFunction')
+ % varargin:
+ % model, block, mode, funcHandle, t_timeseries
+ func = varargin{1};
+ tSeries = varargin{2};
+ arr = timeseries(func(tSeries),tSeries);
+ save(filename,'arr','-v7.3');
+
+elseif strcmp(mode,'FromASD')
+ % varargin:
+ % model, block, mode, funcHandle, freqs
+ func = varargin{1};
+ frequencies = varargin{2}; %[fMin, fMax, fSample]
+ N = varargin{3};
+ fSeries = createFrequencyArray(frequencies(2),0,N,'lin', 2,'reverse');
+ enbw = varargin{4};
+ arr = createTimeseriesFromASD_ENBW(func,fSeries, enbw);
+ save(filename,'arr','-v7.3');
+end
+
+
+end
+
diff --git a/core/noises/injection.png b/core/noises/injection.png
new file mode 100644
index 0000000000000000000000000000000000000000..2ce5949b0e3fc8c9c186fe0adcbc00a2199b36df
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diff --git a/core/noises/readout.png b/core/noises/readout.png
new file mode 100644
index 0000000000000000000000000000000000000000..25be7fe7a11cc14b3de76d0d4555646e47488ff3
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diff --git a/core/noises/setFromFile.m b/core/noises/setFromFile.m
new file mode 100644
index 0000000000000000000000000000000000000000..858813c792285f4f51c603618ea0fe64e60c525a
--- /dev/null
+++ b/core/noises/setFromFile.m
@@ -0,0 +1,23 @@
+function blockHandle = setFromFile(model, block, filename)
+%SETINJECTIONBLOCK - Sets the initial parameters of a injection block.
+%Sets the initial parameters for one instance of the injection block from
+%Acme library.
+%
+% Syntax: setInjectionBlock(model, block, mode, varargin)
+%
+% Inputs:
+% model - Name of the Simulink model, string
+% block - Name of the target instance of the Injection Block, string
+%
+% See also: createFrequencyArray, createTimeseriesFromASD_ENBW
+%
+% Author: Arthur Reis
+% email: arthur.reis@aei.mpg.de
+% Nov 2021; Last revision: 10.Nov.2021;
+
+
+blockHandle = Simulink.findBlocks(model,'Name',block);
+set_param(blockHandle,'FileName',strcat(filename));
+
+end
+
diff --git a/core/noises/setInjectionBlock.m b/core/noises/setInjectionBlock.m
new file mode 100644
index 0000000000000000000000000000000000000000..31eada7407a64a79f5a2ff9fbef440c71f68325a
--- /dev/null
+++ b/core/noises/setInjectionBlock.m
@@ -0,0 +1,76 @@
+function blockHandle = setInjectionBlock(model, block, mode, varargin)
+%SETINJECTIONBLOCK - Sets the initial parameters of a injection block.
+%Sets the initial parameters for one instance of the injection block from
+%Acme library.
+%
+% Syntax: setInjectionBlock(model, block, mode, varargin)
+% setInjectionBlock(model, block, 'FromWorkspace', workspaceVarName)
+% setInjectionBlock(model, block, 'FromFunction', funcHandle, t_timeseries)
+% setInjectionBlock(model, block, 'FromASD', funcHandle, freqs, N, enbw)
+% setInjectionBlock(model, block, 'FromFile', filename)
+%
+% Inputs:
+% model - Name of the Simulink model, string
+% block - Name of the target instance of the Injection Block, string
+% mode - Specifies how the Injection signal is defined.
+% 'FromWorkspace': will use a timeseries existing on the base workspace;
+% 'FromFunction': passes a function of time and a timeseries
+% argument;
+% 'FromASD': passes a ASD, function of frequency and create a time series using
+% the ENBW algorithm;
+% 'FromFile': uses the data stored in a file.
+% workspaceVarName - name of the variable in the workspace, string;
+% funcHandle - function (either of t or f). Function handle;
+% t_timeseries - time part of a timeseries to be used as argument;
+% freqs - array containing [fMin, fMax, fSample].
+% N = number of points that the freqs array has;
+% filename - name of the file containing the data
+%
+% See also: createFrequencyArray, createTimeseriesFromASD_ENBW
+%
+% Author: Arthur Reis
+% email: arthur.reis@aei.mpg.de
+% Nov 2021; Last revision: 10.Nov.2021;
+
+
+if strcmp(mode,'FromWorkspace')
+ % varargin:
+ % model, block, mode, workspaceVarName
+ var = varargin{1};
+ filename = strcat(block,'_tmp');
+ eval(strcat('save(filename,''var'',''-v7.3'');'));
+
+elseif strcmp(mode,'FromFunction')
+ % varargin:
+ % model, block, mode, funcHandle, t_timeseries
+ func = varargin{1};
+ tSeries = varargin{2};
+ arr = timeseries(func(tSeries),tSeries);
+ filename = strcat(block,'_tmp');
+ save(filename,'arr','-v7.3');
+
+elseif strcmp(mode,'FromASD')
+ % varargin:
+ % model, block, mode, funcHandle, freqs
+ func = varargin{1};
+ frequencies = varargin{2}; %[fMin, fMax, fSample]
+ N = varargin{3};
+ fSeries = createFrequencyArray(frequencies(2),0,N,'lin', 2,'reverse');
+ enbw = varargin{4};
+ arr = createTimeseriesFromASD_ENBW(func,fSeries, enbw);
+ filename = strcat(block,'_tmp');
+ save(filename,'arr','-v7.3');
+
+elseif strcmp(mode,'FromFile')
+ % varargin:
+ % model, block, mode, filename
+ filename = varargin{1};
+
+end
+
+blockHandle = Simulink.findBlocks(strcat(model,'/',block),...
+ 'Name','blkFromFile');
+set_param(blockHandle,'FileName',strcat(filename));
+
+end
+
diff --git a/core/noises/setReadoutBlock.m b/core/noises/setReadoutBlock.m
new file mode 100644
index 0000000000000000000000000000000000000000..5145cc74ad7f5fffe4182e2939ab09d51abce24c
--- /dev/null
+++ b/core/noises/setReadoutBlock.m
@@ -0,0 +1,21 @@
+function blockHandle = setReadoutBlock(model, block, varname, fSample)
+%SETREADOUTBLOCK sets an instance of the readout block in a model.
+%
+% Syntax: setReadoutBlock(model, block, varname, fSample)
+%
+% Inputs: model - Name of the Simulink model, string;
+% block - Name of the target instance of the block, string;
+% varname - Name of the variable to be created in the workspace;
+% fSample - sampling rate of the block;
+%
+% See also: setInjectionBlock
+%
+% Author: Arthur Reis
+% email: arthur.reis@aei.mpg.de
+% Nov 2021; Last revision: 10.Nov.2021;
+blockHandle = Simulink.findBlocks(model, 'Name', block);
+set_param(blockHandle,'simout',['''',varname,'''']);
+set_param(blockHandle,'fSample',num2str(fSample));
+
+end
+
diff --git a/core/sensors/diffTransformer.png b/core/sensors/diffTransformer.png
new file mode 100644
index 0000000000000000000000000000000000000000..d9425695484ba10b02c51c75d611b910cef8b506
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diff --git a/core/sensors/diffTransformer.slx b/core/sensors/diffTransformer.slx
new file mode 100644
index 0000000000000000000000000000000000000000..9a34813060b7dccc511f8fd643f4fd7b35929f81
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diff --git a/core/sensors/lockIn.png b/core/sensors/lockIn.png
new file mode 100644
index 0000000000000000000000000000000000000000..60f4af8bc464abff0e7189eeb2e534983525f005
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diff --git a/core/sensors/lockIn.slx b/core/sensors/lockIn.slx
new file mode 100644
index 0000000000000000000000000000000000000000..f1edbc9ea66c19178d5de0798ea2a87f8ad688a9
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diff --git a/core/sensors/setDiffTransformer.m b/core/sensors/setDiffTransformer.m
new file mode 100644
index 0000000000000000000000000000000000000000..f78df0d0f34e7cb19e68e20444437880d8a30cdf
--- /dev/null
+++ b/core/sensors/setDiffTransformer.m
@@ -0,0 +1,75 @@
+function blockHandle = setDiffTransformer(varargin)
+%SETSENSPARAPLATES - Sets the initial parameters of a capacitive sensor.
+% Sets the initial parameters of a capacitive sensor. Based on Davor Mance.
+%
+% davor mance generic diff transformer
+% s^2 * L + s*Rl
+% U_br = --------------------------------- * U_m*DeltaC
+% L*Ceq*s^2 + s*Rl*Ceq + 1
+%
+% on the low frequency, assuming that f_detection = f_0_diff_transformer
+% Q
+% U_br = -----* U_m*DeltaC
+% Ceq
+%
+% Syntax: setInjectionBlock(model, block, eps0, gap, area, Vd, Cf,...
+% transformerRatio, transformerCoupling)
+% Inputs:
+% model - Name of the Simulink model, string;
+% block - Name of the target instance of the Injection Block, string;
+% C0 - Nominal capacitance of the sensor, ie. capacitance when x = 0, F;
+% L - impedance of the coils of the transformer. Assumes all 3 has the same
+% impedance, H;
+% Q - quality factor;
+% f0 - detector freuqnecyy, Hz;
+%
+% Output
+% See also:
+%
+% Author: Arthur Reis
+% email: arthur.reis@aei.mpg.de
+% Nov 2021; Last revision: 19.Nov.2021;
+
+defaultrange = 'low';
+p = inputParser;
+
+addRequired(p, 'model', @(x) ischar(x));
+addRequired(p, 'block', @(x) ischar(x));
+addRequired(p, 'C0', @(x) isnumeric(x) && isscalar(x));
+addRequired(p, 'L', @(x) isnumeric(x) && isscalar(x));
+addRequired(p, 'f0', @(x) isnumeric(x) && isscalar(x));
+addRequired(p, 'Q', @(x) isnumeric(x) && isscalar(x));
+addOptional(p, 'freqrange', defaultrange, @(x) ischar(x));
+
+parse(p, varargin{:});
+
+model = p.Results.model;
+block = p.Results.block;
+C0 = p.Results.C0;
+L = p.Results.L;
+Q = p.Results.Q;
+f0 = p.Results.f0;
+freqrange = p.Results.freqrange;
+
+w0 = f0*2*pi;
+Ceq = L/w0^2;
+
+Rl = L*w0/Q;
+
+blockHandle = Simulink.findBlocks(strcat(model),'Name',block);
+if strcmp(freqrange, 'low')
+ set_param(blockHandle,'Q', num2str(Q));
+ set_param(blockHandle,'Ceq', num2str(Ceq));
+
+elseif strcmp(freqrange, 'high')
+ a = [L Rl 0];
+ b = [L*Ceq Rl*Ceq 1];
+ [A,B,C,D] = tf2ss(a,b);
+ set_param(blockHandle,'A', mat2str(A));
+ set_param(blockHandle,'B', mat2str(B));
+ set_param(blockHandle,'C', mat2str(C));
+ set_param(blockHandle,'D', num2str(D));
+
+end
+end
+
diff --git a/core/sensors/setLockIn.m b/core/sensors/setLockIn.m
new file mode 100644
index 0000000000000000000000000000000000000000..e5282fc02029690610258f6c48e6b44f511f343b
--- /dev/null
+++ b/core/sensors/setLockIn.m
@@ -0,0 +1,27 @@
+function blockHandle = setLockIn(model, block, fPb, fCo, ampGain)
+%SETSENSPARAPLATES - Sets the initial parameters of a capacitive sensor.
+%Sets the initial parameters of a capacitive sensor. Based on Josselin 1999.
+%
+% Syntax: setInjectionBlock(model, block, eps0, gap, area, Vd, Cf,...
+% transformerRatio, transformerCoupling)
+% Inputs:
+% model - Name of the Simulink model, string;
+% block - Name of the target instance of the Injection Block, string;
+% L - impedance of the coils of the transformer. Assumes all 3 has the same
+% impedance;
+% C0 - Nominal capacitance of the sensor, ie. capacitance when x = 0;
+% Cp - Stray capacitance of the differential transformer;
+%
+% Output
+% See also:
+%
+% Author: Arthur Reis
+% email: arthur.reis@aei.mpg.de
+% Nov 2021; Last revision: 19.Nov.2021;
+
+blockHandle = Simulink.findBlocks(model,'Name',block);
+set_param(blockHandle,'fPb', num2str(fPb));
+set_param(blockHandle,'fCo', num2str(fCo));
+set_param(blockHandle,'ampGain', num2str(ampGain));
+
+end
diff --git a/simulations/Tutorial/ex_01.slx b/simulations/Tutorial/ex_01.slx
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diff --git a/simulations/Tutorial/ex_03.slx b/simulations/Tutorial/ex_03.slx
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diff --git a/simulations/Tutorial/ex_04.slx b/simulations/Tutorial/ex_04.slx
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diff --git a/simulations/Tutorial/script_ex_01.m b/simulations/Tutorial/script_ex_01.m
new file mode 100644
index 0000000000000000000000000000000000000000..34a6dfaf5e7277de7dc7c20b9b875244026b4774
--- /dev/null
+++ b/simulations/Tutorial/script_ex_01.m
@@ -0,0 +1,44 @@
+%% Example 01
+% ACME Basics - Time domain simulation
+% The first simulation models a test mass that is disturbed by an impulse.
+% There is a controller that will try keep the TM centered.
+% The simulation is discrete and has a fixed step of length acme_dt_fixedstep
+% Considering just 1 translational DOF
+clear;
+
+% load the simulink model.
+mdl = 'ex_01';
+load_system(mdl);
+acme_dt_fixedstep = 0.01;
+stopTime = 10;
+%% Setting the TM and control parameters
+
+mass = 0.08; %kg
+gap = 0.0003; %m
+% To set the block, the setter searches for a block named "dblInt" on the
+% simulink system. Be sure to avoid typos.
+dblint = setDblIntTrans(mdl, 'dblInt', mass, gap);
+
+% the sensor, controller and actuator is represented by only a PID block with
+% arbitrary and adequated gains:
+Kp = 4;
+Ki = 3;
+Kd = 1;
+
+% and the TM is impacted by an impulse of
+forceGain = 1e-6; % N
+%% Run the simulation
+sim(mdl);
+open_system([mdl '/scopeAcc']);
+open_system([mdl '/scopePos']);
+
+%%
+% other than an external input, we can simulate a TM that begins out of
+% equilibrium
+forceGain = 0;
+x0 = 0.00005;
+dx0 = 0;
+dblint = setDblIntTrans(mdl, 'dblInt', mass, gap, x0, dx0);
+sim(mdl);
+open_system([mdl '/scopePos']);
+
diff --git a/simulations/Tutorial/script_ex_02.m b/simulations/Tutorial/script_ex_02.m
new file mode 100644
index 0000000000000000000000000000000000000000..461ba7dc00247d956d809e629f33bea3b20b1ee2
--- /dev/null
+++ b/simulations/Tutorial/script_ex_02.m
@@ -0,0 +1,96 @@
+%% Example 02
+% ACME Basics - Parametrization
+% This example shows how a noise timeseries can be generated, also how you can
+% parametrize your simulation
+clear;
+
+mdl = 'ex_02';
+load_system(mdl);
+
+%% Setting the TM and control parameters
+
+mass = 0.08; %kg
+gap = 0.0003; %m
+Kp = 1e-4;
+Ki = 1e-6;
+Kd = 1e-2;
+dblint = setDblIntTrans(mdl, 'dblInt', mass, gap);
+
+%% Define the input noise
+% Will add a timeseries containing noise
+% Automatically generated from expression for Amplitude Spectral Density
+
+tslength = 1e4;
+dt = 1;
+acme_dt_fixedstep = dt;
+t = (0:dt:(tslength-dt))';
+nSteps = length(t);
+fSample = 1/dt;
+enbw = 1/tslength;
+
+% Consider one of the ASDs:
+noisefunc = @(f) (1e-10 * sqrt( (1e-3./f).^4 ./ ((1e-5./f).^4+1) + 1 + (f/1e-1).^4));
+
+% define a "From Workspace" Block that reads the variable:
+noise_ts = [t timeseriesFromASD(noisefunc, enbw, fSample, nSteps).Data];
+
+%% Run
+out = sim(mdl);
+
+%% Plotting the frequency response
+% flpsd is the same lpsd algorithm from ltpda. It gives the ASD from a
+% timeseries.
+enbw = 1;
+Kdes = 100;
+olap = 30;
+Jdes = 1000;
+Lmin = 1;
+order = 2;
+ts = out.simout.Data; %output: position of the TM
+
+[axx,fxx] = flpsd( 'ts', ts, 'fs', fSample, 'Kdes', Kdes, 'Lmin', Lmin, ...
+ 'Jdes', Jdes, 'win', 'hanning', 'olap', olap, 'order', order,...
+ 'scale', 'ASD', 'LTPDAmode',true);
+
+[anoise,fnoise] = flpsd( 'ts', noise_ts(:,2), 'fs', fSample, 'Kdes', Kdes, 'Lmin', Lmin, ...
+ 'Jdes', Jdes, 'win', 'hanning', 'olap', olap, 'order', order,...
+ 'scale', 'ASD', 'LTPDAmode',true);
+
+% finding the TF between displacement readout and input perturbation
+io(1) = linio(strcat(mdl,'/From Workspace'),1,'input');
+io(2) = linio(strcat(mdl,'/dblInt'),1,'output');
+readout2accTF = getTFresponse(mdl, io, fxx); % TF between readout and acc signal
+
+%% output comparison
+loglog(fxx,noisefunc(fxx),fxx,axx./readout2accTF);
+legend('input expression','calibrated acc measurement');
+xlabel('Frequency [Hz]');
+xlim([1e-6 1]);
+ylabel('Acceleration [m/s2]');
+
+%% Parametrization
+% To investigate what happens when the mass changes, for example:
+mass_var = [0.04, 0.08, 0.16, 0.32];
+amps = zeros(length(fxx),length(mass_var));
+frqs = zeros(length(fxx),length(mass_var));
+cals = zeros(length(fxx),length(mass_var));
+
+for i=1:length(mass_var)
+ setDblIntTrans(mdl, 'dblInt', mass_var(i), gap);
+ mass = mass_var(i);
+ out = sim(mdl); % run the simulation for each mass value
+ ts = out.simout.Data;
+ [axx,fxx] = flpsd( 'ts', ts, 'fs', fSample, 'Kdes', Kdes, 'Lmin', Lmin, ...
+ 'Jdes', Jdes, 'win', 'hanning', 'olap', olap, 'order', order,...
+ 'scale', 'ASD', 'LTPDAmode',true);
+ frqs(:,i) = fxx; % save asd
+ amps(:,i) = axx;
+ cals(:,i) = getTFresponse(mdl, io, fxx);
+end
+
+
+%%
+loglog(frqs, amps./cals);
+legend(string(mass_var));
+xlabel('Frequency [Hz]');
+ylabel('Acceleration [m/s2]');
\ No newline at end of file
diff --git a/simulations/Tutorial/script_ex_03.m b/simulations/Tutorial/script_ex_03.m
new file mode 100644
index 0000000000000000000000000000000000000000..9fdb84722d9d5361565110759888984756b981be
--- /dev/null
+++ b/simulations/Tutorial/script_ex_03.m
@@ -0,0 +1,56 @@
+%% Example 03
+% ACME Basics - Instantiation
+% ACME can handle multiple copies of the same block on one system;
+% it uses the block name to locate and initialize the right one
+clear;
+
+mdl = 'ex_03';
+load_system(mdl);
+
+fMin = 1e-4;
+fMax = 1;
+stopTime = 1/fMin;
+%
+nSteps = 1e5;
+tStep = stopTime/nSteps;
+fSample = 1/(stopTime/nSteps);
+N = stopTime/tStep;
+acme_dt_fixedstep = tStep;
+t = (0:tStep:(stopTime-tStep))';
+enbw = 1/stopTime;
+%%
+% each instance of the double integrator and the PID blocks will have different
+% parameters
+mass = [0.08, 0.1, 0.15];
+gap = [3e-4, 5e-4, 9e-4];
+Kp = [0.04, 0.05, 0.06];
+Ki = [0.003, 0.003, 0.003];
+Kd = [0.1, 0.1, 0.12];
+
+% Consider the ASDs:
+noisefunc1 = @(f) 1e-12 * f.^-1;
+noisefunc2 = @(f) 1e-10 * (f.^2 + f.^0);
+enbw = 1;
+Kdes = 100;
+olap = 30;
+Jdes = 1000;
+Lmin = 1;
+order = 2;
+% define a "From Workspace" Block that reads the variable:
+noise_ts1 = [t timeseriesFromASD(noisefunc1, enbw, fSample, nSteps).Data];
+noise_ts2 = [t timeseriesFromASD(noisefunc2, enbw, fSample, nSteps).Data];
+
+[axx,fxx] = flpsd( 'ts', noise_ts1(:,2), 'fs', fSample, 'Kdes', Kdes, 'Lmin', Lmin, ...
+ 'Jdes', Jdes, 'win', 'hanning', 'olap', olap, 'order', order,...
+ 'scale', 'ASD', 'LTPDAmode',true);
+[axx2,fxx2] = flpsd( 'ts', noise_ts2(:,2), 'fs', fSample, 'Kdes', Kdes, 'Lmin', Lmin, ...
+ 'Jdes', Jdes, 'win', 'hanning', 'olap', olap, 'order', order,...
+ 'scale', 'ASD', 'LTPDAmode',true);
+loglog(fxx,axx,fxx2,axx2);
+%% Run
+sim(mdl);
+
+open_system([mdl '/Scope1']);
+open_system([mdl '/Scope2']);
+open_system([mdl '/Scope3']);
+
diff --git a/simulations/Tutorial/script_ex_04.m b/simulations/Tutorial/script_ex_04.m
new file mode 100644
index 0000000000000000000000000000000000000000..ac95d7bbddce72a703ec86da9d1699f32032f12e
--- /dev/null
+++ b/simulations/Tutorial/script_ex_04.m
@@ -0,0 +1,100 @@
+%% Example 04
+% ACME Advanced - GRACE-like Electrostatic ACC
+% The capacitive sensing as well as the electrostatic actuators are simulated
+clear;
+
+mdl = 'ex_04';
+load_system(mdl);
+%% Accelerometer Parameters
+% TM
+TM_side = 0.04; % m
+nominal_gap = 0.000300; % m
+area = (TM_side)^2; % m2
+mass = 0.08; % kg
+kb = 1.3806e-23; %boltzmann
+T = 300; % K
+
+% capacitive sensing, see Josselin 1999
+eps0 = 8.86e-12; %F/m, vacuum permittivity
+Vd = 5; %V detection rms voltage
+Vp = 10; %V polarizing voltage
+Vt = sqrt(Vp^2 + Vd^2);
+L = 50;
+C0 = 5e-13;
+Cp = 5e-13;
+Q = 200;
+fDetection = 1e5;
+lockgain = 1;
+
+% control
+Kp = 5e-4;
+Ki = 1e-2;
+Kd = 0;
+driverGain = 1;
+
+%% block initialization
+% there are four electrodes, 2 on the faces on the cage, at potential -V and +V,
+% and 2 faces of the TM, at same potential
+%
+% setElectrode(model, block, Vbias, ...
+% pos0, area)
+el1 = setElectrode(mdl,'electrode1', 0, ...
+ TM_side/2+nominal_gap, area); % cage right
+el2 = setElectrode(mdl,'electrode2', Vt, ...
+ TM_side/2, area); % TM right
+el3 = setElectrode(mdl,'electrode3', Vt, ...
+ -TM_side/2, area); % TM left
+el4 = setElectrode(mdl,'electrode4', 0, ...
+ -(TM_side/2+nominal_gap), area); % cage left
+
+% plane capacitors, each formed by two electrodes, simplified coulombic interaction
+% setPlaneCapacitor(model, block, eps0)
+cap1 = setPlaneCapacitor(mdl, 'planeCapacitor1', eps0);
+cap2 = setPlaneCapacitor(mdl, 'planeCapacitor2', eps0);
+
+% differential transformer, see Josselin 1999
+% setDiffTransformer(model, block, C0, L, f0, Q, range)
+dfTr = setDiffTransformer(mdl, 'diffTransformer', C0, L, fDetection, Q);
+
+dblint = setDblIntTrans(mdl, 'dblInt', mass, nominal_gap);
+
+%% simulation parameters
+% frequency and time
+stopTime = 1e3;
+nSteps = 1e4;
+tStep = stopTime/nSteps;
+acme_dt_fixedstep = tStep;
+fSample = 1/(stopTime/nSteps);
+%fMax = fSample/2;
+%fMin = 1/stopTime;
+t = (0:tStep:(stopTime-tStep))';
+enbw = 1/stopTime;
+
+noisefunc = @(f) (1e-9 * f.^0);
+noise_ts1 = [t timeseriesFromASD(noisefunc, enbw, fSample, nSteps).Data];
+
+%%
+mdlOutput = sim(mdl);
+%%
+% lpsd options
+
+Kdes = 100;
+olap = 30;
+Jdes = 1000;
+Lmin = 1;
+order = 0;
+
+[axx,fxx] = flpsd( 'ts', mdlOutput.simout.Data, 'fs', fSample, 'Kdes', Kdes, 'Lmin', Lmin, ...
+ 'Jdes', Jdes, 'win', 'hanning', 'olap', olap, 'order', order,...
+ 'scale', 'ASD', 'LTPDAmode',false);
+
+%%
+% finding the TF between displacement readout and input perturbation
+io(1) = linio(strcat(mdl,'/From Workspace'),1,'input');
+io(2) = linio(strcat(mdl,'/diffTransformer'),1,'output');
+readout2accTF = getTFresponse(mdl, io, fxx); % TF between readout and acc signal
+
+loglog(fxx,axx./readout2accTF,fxx,noisefunc(fxx));
+legend('calibrated acc measurement','input expression');
+xlabel('Frequency [Hz]');
+ylabel('Acceleration [m/s2]');
diff --git a/simulations/Tutorial/xhps_integration/XHPS_simple_atittude_control.slx.r2017b b/simulations/Tutorial/xhps_integration/XHPS_simple_atittude_control.slx.r2017b
new file mode 100644
index 0000000000000000000000000000000000000000..71a103f630e521e71902a0fcce1311ae7f2b16ae
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diff --git a/simulations/Tutorial/xhps_integration/init_parameters.m b/simulations/Tutorial/xhps_integration/init_parameters.m
new file mode 100644
index 0000000000000000000000000000000000000000..e23d5833d751973db168a6dbe45117ec6f7bd148
--- /dev/null
+++ b/simulations/Tutorial/xhps_integration/init_parameters.m
@@ -0,0 +1,259 @@
+%% ex3
+% In this example additional blocks to model non-gravitational
+% forces are added, atmospheric drag and solar radiation pressure. The
+% computed forces and torques are feed back to the dynamics computatation.
+% These models utilize the precomputed lookup tables for high precision
+% disturbance modeling. As an example these are given for a simple GRACE
+% model.
+% There are two different blocks for atmospheric drag, the first one is
+% simpler and utilzes a constant drag coefficient and the JB08 density
+% model. The atmosphere is treated as co-rotating with the Earth.
+% The second block utilizes a variable computation of the drag and lift
+% coefficients. Depending on atmosphereic conditions and the satellite
+% geometry (FE Model). The computation of the drag coefficient needs inputs
+% from the NRLMSISE atmosphere model wich is additionally executed in the
+% block.
+% Like all Simulink elements, the blocks can be commented-out and -on by
+% pressing ctrl + shift + x.
+% All necessary parameters are set at the end of this file.
+
+
+% The ordering of variables in the core_params and init_params structs may
+% not be changed! This will cause errors in the underlying C-functions.
+
+clearvars('core_params','init_params');
+
+%% core_params
+
+ init_date = [2006,5,1,0,0,1];
+
+ % ===============================
+ % PLEASE UNCOMMENT THIS LINE
+ MJD = HPS_convertCalendarDate2MJD(init_date(1),init_date(2),init_date(3),init_date(4),init_date(5),init_date(6));
+ % ====================================================
+ core_params.start_date = [MJD,init_date(4:6)];
+
+% GRAVITY OPTIONS
+
+ % Gravity Model (simple (1), static spherical harmonics Gravity model (2), time dependent SH model (3))
+ core_params.i_grav_model = 2;
+ % degree and order of gravity field (iN_max (degree) must be bigger or equal iM_max (order))
+ core_params.iN_max = 12;
+ core_params.iM_max = 12; % also zonal degree (up to 6) for simple gravity model (than iM_max=1)
+
+ % Ocean tide model (off (0), on (1))
+ core_params.ocean_tides = 0;
+ % degree = order
+ core_params.ot_degree = 5;
+
+ % Solid Earth tide model (off (0), with "zero tide" (1), with "tide free" (2) (default:1))
+ core_params.solid_Earth_tides = 0;
+ % degree = order (min 2, maximal 4)
+ core_params.sEt_degree = 4;
+
+ % Pole tide model (off (0), on (1))
+ core_params.pole_tides = 0;
+ % degree = order (maximal 360) (actually d/o of pole ocean tide model,
+ % pole Earth tide model just affects the C21 and S21 SH coefficients)
+ core_params.pt_degree = 60;
+
+ % Calculate gravity gradient matrix? (0 = no, 1 = yes)
+ core_params.i_gg = 0;
+ % effects of center of gravity != center of mass (0: off,1: spherical potential, 2: J2 potential)
+ core_params.i_cog = 0;
+ % post newtonian corrections to equations of motion (0: off, 1: add Schwarzschild corr., 2: (1)+Lense-Thirring corr., 3: (2)+ de Sitter corr.)
+ core_params.i_pN = 0;
+ % calculate gravity gradient torque (0: do not calc, 1: spherical pot. 2: with Gravity gradient matrix)
+ core_params.i_ggt = 0;
+
+ % Chose ehpemeris model; analytical or JPL models (1: Analytical Montenbruck, 2: DE405, 3: DE430, 4: DE431)
+ core_params.ehp_model = 1;
+
+ % include moon, planets (0 do not calculate, 1 calculate)
+ core_params.i_planets(1)=0; % sun
+ core_params.i_planets(2)=0; % mercury
+ core_params.i_planets(3)=0; % venus
+ core_params.i_planets(4)=0; % mars
+ core_params.i_planets(5)=0; % jupiter
+ core_params.i_planets(6)=0; % saturn
+ core_params.i_planets(7)=0; % uranus
+ core_params.i_planets(8)=1; % neptune
+ core_params.i_planets(9)=0; % pluto
+ core_params.i_planets(10)=0; % moon
+
+
+ % IERS2010 convention (0: compleat trafo, 1: in future setimated EOP, 2: z-onlyrotation, 3: GeoQ rotation)
+ core_params.T_e_i_opt = 0;
+
+% INTEGRATION OPTIONS
+
+ % Integration time limit (integrate until tmax)
+ core_params.tmax = 18000;
+
+ % step size of simulink simulation [s]
+ core_params.dt_sim = acme_dt_fixedstep;
+
+ % integration method (0: runge-kutta dopri87 8th order (13 function evaluation), 1: runge-kutta ck54 5th order (6 function evaluation), 2: Adams-Bashforth-Moulton ABM one predictor and one corrector step (2 function evaluation); order specified by core_params.AMB_order )
+ core_params.int_meth = 2;
+
+ % only if ABM integrator is chosen
+ % order of ABM integrator, possible:2, 3, 4, 6, 8, 10, 12, 16, 18, 20, 24, 28 (1 is equal to simple euler scheme -> does not work conflict with loop indices!!!!)
+ core_params.ABM_order = 8;
+
+ % For Runge Kutta Integrators and initialization of ABM integrator with DoPri87:
+ % local truncation error between two steps
+ core_params.eps = 1e-2;
+ % minimal time step allowed for step size control (if smaller step is proposed h set to hmin)
+ core_params.hmin = 0.5;
+ %first step size
+ core_params.h0 = core_params.dt_sim;
+
+ % just for RKF methods
+ % option when T_e_i should be updated (0: just after every step in main
+ % integration loop 1: also inside the integration routine 2: use
+ % simplified T_e_i computation inside integration routine) 3: just
+ % every dt_sim time step
+ core_params.update_T_e_i = 2;
+ % option when gravity field should be updated (like T_e_i) (0: just
+ % after every step in main integration loop 1: also inside the
+ % integration routine 3: just every dt_sim time step (10: no update -> set accordingly in check_params.m)
+ core_params.update_gfc = 0;
+
+
+% OUTPUT OPTIONS
+
+ % output T_e_i Matrix (0: no 1: output)
+ core_params.T_e_i = 1;
+
+ % option if position and velocity should be also transformed and saved in ECEF coordinates (0:off, 1: on)
+ core_params.save_ECEF = 1;
+
+ % output sub steps in one dt_sim step just for RK methods (0: no, 1: output)
+ core_params.n_h =0;
+
+ % output gravity gradient torque (0: no 1: output ggt is computed in next step so the output is delayed by one dt_sim time step
+ % 2: calculate ggt of actual step -> computationally more intensive because one more call of gravityfield)
+ core_params.output_ggt = 1;
+
+ % output ephemeris (0: nein 1: ausgeben)
+ core_params.output_ehpemeris = 1;
+ % output ephemeris from which planets
+
+ core_params.outp_eph_planets(1)=1; % sun
+ core_params.outp_eph_planets(2)=0; % mercury
+ core_params.outp_eph_planets(3)=0; % venus
+ core_params.outp_eph_planets(4)=0; % mars
+ core_params.outp_eph_planets(5)=0; % jupiter
+ core_params.outp_eph_planets(6)=0; % saturn
+ core_params.outp_eph_planets(7)=0; % uranus
+ core_params.outp_eph_planets(8)=0; % neptune
+ core_params.outp_eph_planets(9)=0; % pluto
+ core_params.outp_eph_planets(10)=0; % moon
+
+
+% ADDITIONAL PARAMETERS
+
+ % show integration status info (0: no info, 1: some 2: detailed info)
+ core_params.int_sts =1;
+
+ % number of states (computed in mdlInizialize?!)
+ core_params.n = 13;
+
+
+clear init_params
+%% init_params
+% parameter für mdlInitialize
+
+ % Initial conditions (position and velocity) in eci (0) or in ecef (1) frame
+ init_params.frame = 1;
+
+ init_params.y0(1)=0.883400652246999e-3; % w_x
+ init_params.y0(2)=0.679655234847646e-3;
+ init_params.y0(3)=0.018533696711896e-3;
+
+ init_params.y0(4)=0.420661638681150; %q_1
+ init_params.y0(5)= -0.215279353484945;
+ init_params.y0(6)= 0.792394972557636;
+ init_params.y0(7)= 0.385757427887756;
+
+ % Initial GRACE values in ecef (polar orbit)
+ init_params.y0(8)= 2495.25780467829;
+ init_params.y0(9)= 3405.71999114539;
+ init_params.y0(10)= 6337.46591402429;
+
+ init_params.y0(11)= 3084754.04939809; %x
+ init_params.y0(12)= 4802725.19816482; %y
+ init_params.y0(13)=-3808582.60527389; %z
+
+
+ %% check consistency of parameters
+ %core_params = HPS_check_params(core_params);
+
+%% Control law
+
+% simple quaternion control law
+I = [1 0 0;...
+ 0 1 0;...
+ 0 0 1];
+
+k = 2; % "geschwindigkeit"
+K = k*I;
+
+c = 2; % "stärke"
+C= c*I;
+
+% constant flight path angle cFPA:
+phi1 = pi/180*0;
+phi2 = pi/180*-1;
+phi3 = pi/180*0;
+
+% compute quaternion for constant trafo from body frame
+% ===============================
+ % PLEASE UNCOMMENT THIS LINES
+% T_v_d = HPS_computeDCMFromEulerAngles( phi1, phi2, phi3, 123);
+% q_v_d = HPS_computeQuaternionFromDCM(T_v_d);
+% ====================================
+
+%% Environment models
+
+% Additional values for C_d, C_l computation
+Y1 = init_date(1)-1;
+Y2 = init_date(1)+1;
+
+% Set C_D options
+a_ref_opt = 1;
+alpha_opt = 1;
+alpha_val = 1;
+
+et = load('surface_tables/et.txt');
+nt = load('surface_tables/nt.txt');
+
+% in case constant wall temp is assumed
+n_elem = size(et,1);
+T_Wall_const = ones(n_elem,1).*300;
+
+% Drag Coefficient
+c_D = 2.5;
+
+% atmospheric indices
+path_F107 = fullfile(XHPS_path, 'HPS_simulation', 'environment_data', 'activity_indices', 'FLUX', 'F107.txt');
+path_Ap = fullfile(XHPS_path, 'HPS_simulation', 'environment_data', 'activity_indices', 'KP_AP', 'Ap.txt');
+
+% load satellite data for surface forces
+load('surface_tables/angle_phi.txt');
+load('surface_tables/angle_tht.txt');
+load('surface_tables/force_FX.txt');
+load('surface_tables/force_FY.txt');
+load('surface_tables/force_FZ.txt');
+load('surface_tables/prespoint_X.txt');
+load('surface_tables/prespoint_Y.txt');
+load('surface_tables/prespoint_Z.txt');
+load('surface_tables/ref_area.txt');
+load('surface_tables/torque_TX.txt');
+load('surface_tables/torque_TY.txt');
+load('surface_tables/torque_TZ.txt');
+
+% 3 dimensional L array containing absorption coefficients for each element
+load('L3d.mat');
+elements_fe = 1:size(L3d,3);
+
diff --git a/simulations/Tutorial/xhps_integration/script_xhps_acme_01.m b/simulations/Tutorial/xhps_integration/script_xhps_acme_01.m
new file mode 100644
index 0000000000000000000000000000000000000000..ce5a26f2826543ad0d4ae21f8079a2af20ead395
--- /dev/null
+++ b/simulations/Tutorial/xhps_integration/script_xhps_acme_01.m
@@ -0,0 +1,96 @@
+%% Example Accelerometer
+% Using ACME and XHPS together
+% Using fixed-step solvers
+clear;
+
+% ===============================
+ % PLEASE UNCOMMENT THIS LINE
+ hps_startup
+ % =============================
+mdl = 'xhps_acme_ex_01';
+load_system(mdl);
+
+%% Setting the TM and control parameters
+mass = 0.08; %kg
+gap = 0.0003; %m
+M_sat = 478; % define the mass of the satellite (typical number for GRACE-FO)
+
+dblint = setDblIntTrans(mdl, 'dblInt', mass, gap);
+
+acme_dt_fixedstep = 1;
+
+init_parameters;
+
+I = [1 0 0;...
+ 0 1 0;...
+ 0 0 1];
+
+k = 2; % "geschwindigkeit"
+K = k*I;
+
+c = 2; % "stärke"
+C= c*I;
+
+% constant flight path angle cFPA:
+phi1 = pi/180*0;
+phi2 = pi/180*-1;
+phi3 = pi/180*0;
+
+% compute quaternion for constant trafo from body frame
+T_v_d = HPS_computeDCMFromEulerAngles( phi1, phi2, phi3, 123);
+q_v_d = HPS_computeQuaternionFromDCM(T_v_d);
+
+%% Environment models
+
+% Additional values for C_d, C_l computation
+
+ init_date = [2006,5,1,0,0,1];
+Y1 = init_date(1)-1;
+Y2 = init_date(1)+1;
+
+% Set C_D options
+a_ref_opt = 1;
+alpha_opt = 1;
+alpha_val = 1;
+
+et = load('surface_tables/et.txt');
+nt = load('surface_tables/nt.txt');
+
+% in case constant wall temp is assumed
+n_elem = size(et,1);
+T_Wall_const = ones(n_elem,1).*300;
+
+% Drag Coefficient
+c_D = 2.5;
+
+% atmospheric indices
+path_F107 = fullfile(XHPS_path, 'HPS_simulation', 'environment_data', 'activity_indices', 'FLUX', 'F107.txt');
+path_Ap = fullfile(XHPS_path, 'HPS_simulation', 'environment_data', 'activity_indices', 'KP_AP', 'Ap.txt');
+
+% load satellite data for surface forces
+load('surface_tables/angle_phi.txt');
+load('surface_tables/angle_tht.txt');
+load('surface_tables/force_FX.txt');
+load('surface_tables/force_FY.txt');
+load('surface_tables/force_FZ.txt');
+load('surface_tables/prespoint_X.txt');
+load('surface_tables/prespoint_Y.txt');
+load('surface_tables/prespoint_Z.txt');
+load('surface_tables/ref_area.txt');
+load('surface_tables/torque_TX.txt');
+load('surface_tables/torque_TY.txt');
+load('surface_tables/torque_TZ.txt');
+
+% 3 dimensional L array containing absorption coefficients for each element
+load('L3d.mat');
+elements_fe = 1:size(L3d,3);
+
+init_parameters %XHPS stuff
+acme_dt_fixedstep = core_params.dt_sim;
+%%
+sim(mdl)
+
+
+
+
+
diff --git a/simulations/Tutorial/xhps_integration/surface_tables/angle_phi.txt b/simulations/Tutorial/xhps_integration/surface_tables/angle_phi.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6431b5cc426bb6455eceb4c23ff92ad5c4c9c489
--- /dev/null
+++ b/simulations/Tutorial/xhps_integration/surface_tables/angle_phi.txt
@@ -0,0 +1,145 @@
+0.000000000000000
+0.043633231299860
+0.087266462599720
+0.130899693899570
+0.174532925199430
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\ No newline at end of file
diff --git a/simulations/Tutorial/xhps_integration/surface_tables/angle_tht.txt b/simulations/Tutorial/xhps_integration/surface_tables/angle_tht.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5184f2eb20c9ad3f7885ddaa1d7aeb185c8dff8d
--- /dev/null
+++ b/simulations/Tutorial/xhps_integration/surface_tables/angle_tht.txt
@@ -0,0 +1,73 @@
+0.000000000000000
+0.043633231299860
+0.087266462599720
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\ No newline at end of file
diff --git a/simulations/Tutorial/xhps_integration/surface_tables/ct.txt b/simulations/Tutorial/xhps_integration/surface_tables/ct.txt
new file mode 100644
index 0000000000000000000000000000000000000000..20d8b4317a5396ecb8c8a8c9579769248bc845a1
--- /dev/null
+++ b/simulations/Tutorial/xhps_integration/surface_tables/ct.txt
@@ -0,0 +1,6 @@
+ 0.3400 0.6200 0.4000 0.2600
+ 0.3400 0.6200 0.4000 0.2600
+ 0.6500 0.8100 0.0500 0.3000
+ 0.6500 0.8100 0.0500 0.3000
+ 0.6500 0.8100 0.0500 0.3000
+ 0.1200 0.7500 0.6800 0.2000
diff --git a/simulations/Tutorial/xhps_integration/surface_tables/et.txt b/simulations/Tutorial/xhps_integration/surface_tables/et.txt
new file mode 100644
index 0000000000000000000000000000000000000000..781e373e1b3d06b6cf5d98c0bee1c43dd9c09466
--- /dev/null
+++ b/simulations/Tutorial/xhps_integration/surface_tables/et.txt
@@ -0,0 +1,6 @@
+ 1. 0.981336 0.0000 0.9720 -0.3720 2. 1. 4. 6.
+ 2. 0.981336 3.1230 0.9720 -0.3720 9. 10. 12. 14.
+ 3. 3.034555 1.5615 0.3125 -0.3720 2. 6. 10. 9.
+ 4. 2.167362 1.5615 0.9720 -0.7440 6. 4. 12. 10.
+ 5. 3.034555 1.5615 1.6315 -0.3720 4. 1. 14. 12.
+ 6. 6.071112 1.5615 0.9720 0.0000 1. 2. 9. 14.
diff --git a/simulations/Tutorial/xhps_integration/surface_tables/force_FX.txt b/simulations/Tutorial/xhps_integration/surface_tables/force_FX.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5b057d79f3713704d3d39b583f09c3e9a7718c26
--- /dev/null
+++ b/simulations/Tutorial/xhps_integration/surface_tables/force_FX.txt
@@ -0,0 +1,73 @@
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diff --git a/simulations/Tutorial/xhps_integration/surface_tables/force_FY.txt b/simulations/Tutorial/xhps_integration/surface_tables/force_FY.txt
new file mode 100644
index 0000000000000000000000000000000000000000..db1943662b9765e5c6dc4398d090870b8d972240
--- /dev/null
+++ b/simulations/Tutorial/xhps_integration/surface_tables/force_FY.txt
@@ -0,0 +1,73 @@
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diff --git a/simulations/Tutorial/xhps_integration/surface_tables/force_FZ.txt b/simulations/Tutorial/xhps_integration/surface_tables/force_FZ.txt
new file mode 100644
index 0000000000000000000000000000000000000000..dcdd23ac40a2021a28bc64df7c877975e1e403c6
--- /dev/null
+++ b/simulations/Tutorial/xhps_integration/surface_tables/force_FZ.txt
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diff --git a/simulations/Tutorial/xhps_integration/surface_tables/nt.txt b/simulations/Tutorial/xhps_integration/surface_tables/nt.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ecac0f63b54c1907381b35d972a33a93b95d35b4
--- /dev/null
+++ b/simulations/Tutorial/xhps_integration/surface_tables/nt.txt
@@ -0,0 +1,20 @@
+ 0.0000 1.9440 0.0000
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+ 0.0000 1.3190 -0.7440
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+ 3.1230 1.9440 0.0000
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+ 1.5615 0.0000 0.0000
+ 1.5615 1.3190 -0.7440
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diff --git a/simulations/Tutorial/xhps_integration/surface_tables/prespoint_X.txt b/simulations/Tutorial/xhps_integration/surface_tables/prespoint_X.txt
new file mode 100644
index 0000000000000000000000000000000000000000..50eef4721636f1bc49a4fb925f03279c50abb18f
--- /dev/null
+++ b/simulations/Tutorial/xhps_integration/surface_tables/prespoint_X.txt
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diff --git a/simulations/Tutorial/xhps_integration/surface_tables/prespoint_Y.txt b/simulations/Tutorial/xhps_integration/surface_tables/prespoint_Y.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8e20b6f7bfa1dd5f884641477686683098e7eb2e
--- /dev/null
+++ b/simulations/Tutorial/xhps_integration/surface_tables/prespoint_Y.txt
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diff --git a/simulations/Tutorial/xhps_integration/surface_tables/prespoint_Z.txt b/simulations/Tutorial/xhps_integration/surface_tables/prespoint_Z.txt
new file mode 100644
index 0000000000000000000000000000000000000000..c20e265f9838c0cb26f3f75c2bc168371f6487e5
--- /dev/null
+++ b/simulations/Tutorial/xhps_integration/surface_tables/prespoint_Z.txt
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\ No newline at end of file
diff --git a/simulations/Tutorial/xhps_integration/surface_tables/ref_area.txt b/simulations/Tutorial/xhps_integration/surface_tables/ref_area.txt
new file mode 100644
index 0000000000000000000000000000000000000000..4f6fd1eb8c0795c31b8783d0bbde8a077286e7c2
--- /dev/null
+++ b/simulations/Tutorial/xhps_integration/surface_tables/ref_area.txt
@@ -0,0 +1,73 @@
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diff --git a/simulations/Tutorial/xhps_integration/surface_tables/results.txt b/simulations/Tutorial/xhps_integration/surface_tables/results.txt
new file mode 100644
index 0000000000000000000000000000000000000000..77e28a6bf54ce045a5907a55a3f2d7b6e492b0b4
--- /dev/null
+++ b/simulations/Tutorial/xhps_integration/surface_tables/results.txt
@@ -0,0 +1,42344 @@
+*****************************************************************
+* Summary of calculation results *
+*****************************************************************
+
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diff --git a/simulations/Tutorial/xhps_integration/surface_tables/setup_summary.txt b/simulations/Tutorial/xhps_integration/surface_tables/setup_summary.txt
new file mode 100644
index 0000000000000000000000000000000000000000..64fbae65c5e4754049ae6e794918b1a586cc57ae
--- /dev/null
+++ b/simulations/Tutorial/xhps_integration/surface_tables/setup_summary.txt
@@ -0,0 +1,20 @@
+*****************************************************************
+* SUMMARY OF SETUP FOR SURFACE FORCE AND TORQUE CALCULATION *
+*****************************************************************
+
+----------------------- INPUT FILE NAMES ------------------------
+ - Element file path: ../example/et.txt
+ - Node file path: ../example/nt.txt
+ - Optical file path: ../example/ct.txt
+
+------------------- SATELLITE CENTER OF MASS --------------------
+ r_COM = [1.5615 0.9720 -0.3310]
+
+----------------------- REFERECE AREA -------------------------
+ Calculate variable cross section (yes = 1, no = 0)? 1
+
+----------------------- SATELLITE PLOTS -------------------------
+ Save data for satellite plots (yes = 1, no = 0)? 0
+
+----------------------- OUTPUT DIRECTORY ------------------------
+ All results are stored in directory: ../example/
diff --git a/simulations/Tutorial/xhps_integration/surface_tables/torque_TX.txt b/simulations/Tutorial/xhps_integration/surface_tables/torque_TX.txt
new file mode 100644
index 0000000000000000000000000000000000000000..79dcfd88d6bfe67fc195a85347687eec101b2d07
--- /dev/null
+++ b/simulations/Tutorial/xhps_integration/surface_tables/torque_TX.txt
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diff --git a/simulations/Tutorial/xhps_integration/surface_tables/torque_TY.txt b/simulations/Tutorial/xhps_integration/surface_tables/torque_TY.txt
new file mode 100644
index 0000000000000000000000000000000000000000..bcce7af9d6ecf4105d164b47127ff2143af0128a
--- /dev/null
+++ b/simulations/Tutorial/xhps_integration/surface_tables/torque_TY.txt
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diff --git a/simulations/Tutorial/xhps_integration/surface_tables/torque_TZ.txt b/simulations/Tutorial/xhps_integration/surface_tables/torque_TZ.txt
new file mode 100644
index 0000000000000000000000000000000000000000..73dc009e1b4345055e8201546776e0d4e69224bf
--- /dev/null
+++ b/simulations/Tutorial/xhps_integration/surface_tables/torque_TZ.txt
@@ -0,0 +1,73 @@
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\ No newline at end of file
diff --git a/simulations/Tutorial/xhps_integration/xhps_acme_ex_01.slx b/simulations/Tutorial/xhps_integration/xhps_acme_ex_01.slx
new file mode 100644
index 0000000000000000000000000000000000000000..ff2529cb060b48c931143d2e5b7f53cadcb7e27e
Binary files /dev/null and b/simulations/Tutorial/xhps_integration/xhps_acme_ex_01.slx differ
diff --git a/utils/HFT.m b/utils/HFT.m
new file mode 100644
index 0000000000000000000000000000000000000000..4c8f445c700b30a823925aaabaa653c2d1b1c362
--- /dev/null
+++ b/utils/HFT.m
@@ -0,0 +1,19 @@
+function w = HFT(n)
+%HFT Returns a high dynamic range flat top window.
+% HFT returns a high dynamic range flat top window as described by Heinzel
+% 2002. HFT248D has 10 cosine terms and -248dB of attenuation on the sidelobe.
+ w = nan(n,1);
+ for i=1:n
+ w(i) = 1 - 1.985844164102*cos(1*2*pi*i/n)...
+ + 1.791176438506*cos(2*2*pi*i/n) - 1.282075284005*cos(3*2*pi*i/n)...
+ + 0.667777530266*cos(4*2*pi*i/n) - 0.240160796576 *cos(5*2*pi*i/n)...
+ + 0.056656381764*cos(6*2*pi*i/n) - 0.008134974479*cos(7*2*pi*i/n)...
+ + 0.000624544650*cos(8*2*pi*i/n) - 0.000019808998*cos(9*2*pi*i/n)...
+ + 0.000000132974*cos(10*2*pi*i/n);
+ if isnan(w(i))
+ w(i) = 0;
+ end
+ end
+ w = w./max(w);
+end
+
diff --git a/utils/calcOpticalPath.m b/utils/calcOpticalPath.m
new file mode 100644
index 0000000000000000000000000000000000000000..fa6697bd13d48f374c01d41f86b508566e98dc83
--- /dev/null
+++ b/utils/calcOpticalPath.m
@@ -0,0 +1,7 @@
+function [outputArg1,outputArg2] = calcOpticalPath(inputArg1,inputArg2)
+%CALCOPTICALPATH Summary of this function goes here
+% Detailed explanation goes here
+outputArg1 = inputArg1;
+outputArg2 = inputArg2;
+end
+
diff --git a/utils/convert2OlderMatlab.m b/utils/convert2OlderMatlab.m
new file mode 100644
index 0000000000000000000000000000000000000000..a8728985e594e3dcbabfb114e4d9bfc691a48631
--- /dev/null
+++ b/utils/convert2OlderMatlab.m
@@ -0,0 +1,2 @@
+proj = currentProject;
+Simulink.exportToVersion(proj,'Acme_R2020a','R2020a');
\ No newline at end of file
diff --git a/utils/convertVersion.m b/utils/convertVersion.m
new file mode 100644
index 0000000000000000000000000000000000000000..9f9cbac9bb89115deb64a76bf4058d7526b90fe6
--- /dev/null
+++ b/utils/convertVersion.m
@@ -0,0 +1,4 @@
+proj = currentProject;
+zipfilename = 'acme_2020b';
+version = 'R2020b';
+exported_project = Simulink.exportToVersion(proj,zipfilename,version);
\ No newline at end of file
diff --git a/utils/createAccelerationNoiseASD.m b/utils/createAccelerationNoiseASD.m
new file mode 100644
index 0000000000000000000000000000000000000000..685b4c662721b8e243e24b97bc487bbae244e964
--- /dev/null
+++ b/utils/createAccelerationNoiseASD.m
@@ -0,0 +1,29 @@
+function asd = AccelerationNoiseASD(freq, variables)
+%ACCELERATIONNOISEASD Returns ASD for a frequency input
+% Returns ASD for a frequency input;
+% can return for each axis
+ switch variables
+ case "x"
+ asd = 1./freq;
+ case "y"
+ asd = 1./freq.^2;
+ case "z"
+ asd = 1./freq.^3;
+ case "theta"
+ asd = 1./freq + freq;
+ case "psi"
+ asd = 1./freq + freq.^3;
+ case "phi"
+ asd = 10*(freq.^0);
+ case "linear"
+ asd = (1e-12 * sqrt(...
+ (1e-3./freq).^4 ./((1e-5./freq).^4+1) + ...
+ 1 + (freq/1e-1).^4));
+ case "angular"
+ asd = (1e-10 * sqrt(...
+ (1e-3./freq).^4 ./ ((1e-5./freq).^4+1) +...
+ 1 + (freq/1e-1).^4));
+ otherwise
+ asd = -1;
+ end
+end
\ No newline at end of file
diff --git a/utils/createFrequencyArray.m b/utils/createFrequencyArray.m
new file mode 100644
index 0000000000000000000000000000000000000000..74a5fcf6ce4ad71051d8b136a9efd8bc311ecf60
--- /dev/null
+++ b/utils/createFrequencyArray.m
@@ -0,0 +1,84 @@
+function freqs = createFrequencyArray(f1, f2, N, varargin)
+%CREATEFREQUENCYARRAY returns either log or linspaced frequencies
+% Returns either log or linspaced frequencies, if linear, can be
+% one or two sided, negative or positive first.
+%
+% Syntax: freqs = createFrequencyArray(f1,f2,N,['log'])
+% freqs = createFrequencyArray(f1,_,N,'lin',[1])
+% freqs = createFrequencyArray(f1,_,N,'lin', 2, ['direct'])
+%
+% Inputs: f1 - frequency 1;
+% f2 - frequency 2;
+% N - number of points;
+% spacing - either 'lin' for linear or 'log' for base 10 logarithmic;
+% order - either 'direct', where the elements are sorted in crescent
+% order, or 'reverse', where the positive elements come first;
+% sides - either 1, for only positives, or 2, to include negative
+% frequencies.
+%
+% Outputs: freqs - logspaced array between f1 and f2 with N points;
+% freqs - linspaced array between 0 f1 with N points;
+% freqs - linspaced array between -f1 and f1 with N points;
+% freqs - linspaced array between 0 to f1, then -f1 to 0 with N points;
+%
+% See also: setInjectionBlock, createTimeseriesFromASD_ENBW
+%
+% Author: Arthur Reis
+% email: arthur.reis@aei.mpg.de
+% Nov 2021; Last revision: 10.Nov.2021;
+
+
+ if length(varargin)>=1
+ spacing = varargin{1};
+ else
+ spacing = 'log';
+ end
+
+ if length(varargin)>=2
+ sides = varargin{2};
+ else
+ sides = 1;
+ end
+
+ if length(varargin)>=3
+ order = varargin{3};
+ else
+ order = 'direct';
+ end
+
+ if strcmp(spacing,'lin')
+ f = linspace(0, f1, N);
+ if sides == 1
+ freqs = f;
+ return;
+
+ elseif sides == 2
+ f = linspace(0,f1,N/2+1);
+ if strcmp(order,'direct') % negative, positive
+ if bitget(N,1) %even
+ freqs = [-f(end:-1:2),f];
+ return
+ else
+ freqs = [-f(end-1:-1:2),f];
+ return;
+ end
+
+ elseif strcmp(order,'reverse') % positive, negative
+ if bitget(N,1) %even
+ freqs = [f,-f(end:-1:2)];
+ return
+ else
+ freqs = [f,-f(end-1:-1:2)];
+ return;
+ end
+ end
+ end
+
+ elseif strcmp(spacing,'log')
+ freqs = logspace(log10(f1),log10(f2),N);
+ return;
+ end
+
+freqs = -1; %if reaches here, some error has occured.
+end
+
diff --git a/utils/createTimeseriesFromASD_ENBW.m b/utils/createTimeseriesFromASD_ENBW.m
new file mode 100644
index 0000000000000000000000000000000000000000..2d3953fc02317554211e4684e5e05111131ebe6e
--- /dev/null
+++ b/utils/createTimeseriesFromASD_ENBW.m
@@ -0,0 +1,36 @@
+function ts = createTimeseriesFromASD_ENBW(ASDFunc, freqs,enbw)
+%CREATETIMESERIESFROMASD_ENBW returns a timeseries from the ASD of a noise
+% Returns a timeseries from the amplitude spectral density of a noise.
+% The output time series will have the ASD, and random phase.
+%
+% Syntax: ts = createTimeseriesFromASD_ENBW(ASDFunc, freqs)
+%
+% Inputs: ASDFunc - function handle where the expression for the ASD is
+% defined;
+% freqs - frequency array, linearly spaced and in reverse order, as
+% constructed from createFrequencyArray;
+%
+% Outputs: ts - timeseries containing the noise;
+%
+% See also: createFrequencyArray, setInjectionBlock
+%
+% Author: Arthur Reis
+% email: arthur.reis@aei.mpg.de
+% Nov 2021; Last revision: 10.Nov.2021;
+
+ ASD = ASDFunc(freqs);
+ PSD_dblsided = (ASD).^2/2;
+% if length(PSD_dblsided ) == 1
+% PSD_dblsided = PSD_dblsided *ones(size(freqs));
+% end
+ PSD_dblsided(freqs==0) = 0;
+ U_f = sqrt(PSD_dblsided').*sqrt(enbw/2);
+ phi = rand(size(U_f))*2*pi;
+ phi(freqs==0) = 0;
+ freq_domain = U_f.*exp(phi.*1i)*numel(U_f)*sqrt(2);
+ t_amplitude = ifft(freq_domain,'symmetric');
+
+ fmin = min(nonzeros(abs(freqs)));
+ ts = timeseries(t_amplitude,linspace(0,2/fmin,length(t_amplitude)));
+
+end
\ No newline at end of file
diff --git a/utils/facade/createFrequencyArray.m b/utils/facade/createFrequencyArray.m
new file mode 100644
index 0000000000000000000000000000000000000000..74a5fcf6ce4ad71051d8b136a9efd8bc311ecf60
--- /dev/null
+++ b/utils/facade/createFrequencyArray.m
@@ -0,0 +1,84 @@
+function freqs = createFrequencyArray(f1, f2, N, varargin)
+%CREATEFREQUENCYARRAY returns either log or linspaced frequencies
+% Returns either log or linspaced frequencies, if linear, can be
+% one or two sided, negative or positive first.
+%
+% Syntax: freqs = createFrequencyArray(f1,f2,N,['log'])
+% freqs = createFrequencyArray(f1,_,N,'lin',[1])
+% freqs = createFrequencyArray(f1,_,N,'lin', 2, ['direct'])
+%
+% Inputs: f1 - frequency 1;
+% f2 - frequency 2;
+% N - number of points;
+% spacing - either 'lin' for linear or 'log' for base 10 logarithmic;
+% order - either 'direct', where the elements are sorted in crescent
+% order, or 'reverse', where the positive elements come first;
+% sides - either 1, for only positives, or 2, to include negative
+% frequencies.
+%
+% Outputs: freqs - logspaced array between f1 and f2 with N points;
+% freqs - linspaced array between 0 f1 with N points;
+% freqs - linspaced array between -f1 and f1 with N points;
+% freqs - linspaced array between 0 to f1, then -f1 to 0 with N points;
+%
+% See also: setInjectionBlock, createTimeseriesFromASD_ENBW
+%
+% Author: Arthur Reis
+% email: arthur.reis@aei.mpg.de
+% Nov 2021; Last revision: 10.Nov.2021;
+
+
+ if length(varargin)>=1
+ spacing = varargin{1};
+ else
+ spacing = 'log';
+ end
+
+ if length(varargin)>=2
+ sides = varargin{2};
+ else
+ sides = 1;
+ end
+
+ if length(varargin)>=3
+ order = varargin{3};
+ else
+ order = 'direct';
+ end
+
+ if strcmp(spacing,'lin')
+ f = linspace(0, f1, N);
+ if sides == 1
+ freqs = f;
+ return;
+
+ elseif sides == 2
+ f = linspace(0,f1,N/2+1);
+ if strcmp(order,'direct') % negative, positive
+ if bitget(N,1) %even
+ freqs = [-f(end:-1:2),f];
+ return
+ else
+ freqs = [-f(end-1:-1:2),f];
+ return;
+ end
+
+ elseif strcmp(order,'reverse') % positive, negative
+ if bitget(N,1) %even
+ freqs = [f,-f(end:-1:2)];
+ return
+ else
+ freqs = [f,-f(end-1:-1:2)];
+ return;
+ end
+ end
+ end
+
+ elseif strcmp(spacing,'log')
+ freqs = logspace(log10(f1),log10(f2),N);
+ return;
+ end
+
+freqs = -1; %if reaches here, some error has occured.
+end
+
diff --git a/utils/facade/createTimeseriesFromASD_ENBW.m b/utils/facade/createTimeseriesFromASD_ENBW.m
new file mode 100644
index 0000000000000000000000000000000000000000..6ba72a335a27142695524fc9157d268cc6102615
--- /dev/null
+++ b/utils/facade/createTimeseriesFromASD_ENBW.m
@@ -0,0 +1,33 @@
+function ts = createTimeseriesFromASD_ENBW(ASDFunc, freqs,enbw)
+%CREATETIMESERIESFROMASD_ENBW returns a timeseries from the ASD of a noise
+% Returns a timeseries from the amplitude spectral density of a noise.
+% The output time series will have the ASD, and random phase.
+%
+% Syntax: ts = createTimeseriesFromASD_ENBW(ASDFunc, freqs)
+%
+% Inputs: ASDFunc - function handle where the expression for the ASD is
+% defined;
+% freqs - frequency array, linearly spaced and in reverse order, as
+% constructed from createFrequencyArray;
+%
+% Outputs: ts - timeseries containing the noise;
+%
+% See also: createFrequencyArray, setInjectionBlock
+%
+% Author: Arthur Reis
+% email: arthur.reis@aei.mpg.de
+% Nov 2021; Last revision: 10.Nov.2021;
+
+ ASD = ASDFunc(freqs);
+ PSD_dblsided = (ASD).^2/2;
+% if length(PSD_dblsided ) == 1
+% PSD_dblsided = PSD_dblsided *ones(size(freqs));
+% end
+ PSD_dblsided(freqs==0) = 0;
+ U_f = sqrt(PSD_dblsided').*sqrt(enbw/2);
+ phi = rand(size(U_f))*2*pi;
+ phi(freqs==0) = 0;
+ freq_domain = U_f.*exp(phi.*1i)*numel(U_f)*sqrt(2);
+ ts = timeseries(ifft(freq_domain,'symmetric'));
+
+end
\ No newline at end of file
diff --git a/utils/facade/flpsd.m b/utils/facade/flpsd.m
new file mode 100644
index 0000000000000000000000000000000000000000..8975d67e228abaf29f790b6e14dac8f86e465f01
--- /dev/null
+++ b/utils/facade/flpsd.m
@@ -0,0 +1,348 @@
+function [P,fArr,enbwcoef] = flpsd(varargin)
+%% Compute PSD with logarithmic frequency axis
+%
+% code ported from LTPDA to bare MATLAB
+%
+% Example:
+% y = randn(100000,1)*sqrt(3/2)*1e-3;
+% [P,F] = flpsd( 'ts', y, 'fs', 3, 'scale','asd');
+% loglog(F, P);
+%
+%
+% INPUTS:
+% ts - y-values of time-series
+% fs - sample frequency in [Hz]
+% win - window name, e.g. 'hanning'
+% see documentation of "getwin.m"
+% Order - order of detrending
+% -1 - no detrending
+% 0 - subtract mean
+% 1 - subtract linear fit
+% N - subtract fit of polynomial, order N
+% Scale - Scaling of output. Choose from:
+% 'AS' - Amplitude (linear) Spectrum
+% 'ASD' - Amplitude (linear) Spectral Density
+% 'PS' - Power Spectrum
+% 'PSD' - Power Spectral Density [default]
+%
+% Olap - desired overlap percentage, value between 0..100
+% (default value of -1 means taken "optimum" for window function)
+% Kdes - desired number of averages (default 100)
+% Lmin - minimum segment length (default 1)
+% Jdes - number of spectral frequencies to compute (default: 1000)
+%
+% LTPDAmode - default: true
+% true means use LTPDA-like frequency vector and procedure
+%
+% false: use strict appraoch from the paper (see reference
+% below). This mode is EXPERIMENTAL.
+%
+% LTPDAbug - 'true' will reproduce the LTPDA bug in Welford's averaging
+% algorithm, applies only if LTPDAmode = true
+% 'false'
+%
+% OUTPUTS:
+% P - spectral estimate in units requested by 'scale' parameter
+% Nx1
+% fArr - frequency values in [Hz]
+% Nx1
+% enbwcoeff - Equivalent Noise Bandwidth [Hz] for each frequency
+% Nx1
+%
+%
+% -------------------------------------------------------------
+% References: "Improved spectrum estimation from digitized time series
+% on a logarithmic frequency axis", Michael Troebs,
+% Gerhard Heinzel, Measurement 39 (2006) 120-129.
+% --------------------
+% Author: Arthur Reis; Vitali Mueller
+% email: arthur.reis@aei.mpg.de
+% --------------------------------------------------------------------
+%% input processing
+% parameters: ts, fs, Kdes, Lmin, Jdes, win, olap, order, scale
+defaultts = [];
+defaultfs = 0;
+defaultKdes = 100;
+defaultLmin = 1;
+defaultJdes = 1000;
+defaultwin = 'hanning';
+defaultolap = -1;
+defaultorder = 0;
+defaultscale = 'PSD';
+expectedscales = {'AS','PS','ASD','PSD'};
+defaultmode = true;
+
+% parameter parsing, required parms will throw error w/ defaults;
+p = inputParser;
+addParameter(p, 'ts', defaultts, @(x) ~isempty(x));
+addParameter(p, 'fs', defaultfs, @(x) isnumeric(x) && x>0);
+addParameter(p, 'Kdes', defaultKdes, @(x) isnumeric(x) && x>0);
+addParameter(p, 'Lmin', defaultLmin, @(x) isnumeric(x));
+addParameter(p, 'Jdes', defaultJdes, @(x) isnumeric(x));
+addParameter(p, 'win', defaultwin);
+addParameter(p, 'olap', defaultolap, @(x) isnumeric(x) && (x<100 && x >=0 || x == -1) );
+addParameter(p, 'order', defaultorder,...
+ @(x) isscalar(x) && (x>=-1));
+addParameter(p, 'scale', defaultscale,...
+ @(x) any(validatestring(x,expectedscales)));
+addParameter(p, 'LTPDAmode', defaultmode);
+addParameter(p, 'LTPDAbug', false);
+
+parse(p, varargin{:});
+
+ts = p.Results.ts;
+if isrow(ts)
+ ts = ts';
+end
+if size(ts,2) ~= 1
+ error('input ts not Nx1 or 1xN');
+end
+fs = p.Results.fs;
+desAvg = p.Results.Kdes;
+Lmin = p.Results.Lmin;
+desFreqs = p.Results.Jdes;
+if desFreqs < 2
+ error('Jdes should be >= 1')
+end
+wintype = p.Results.win;
+if p.Results.olap == -1
+ [~, mw] = getwin(wintype,1);
+ olap = mw.rov/100.0;
+else
+ olap = p.Results.olap/100.0;
+end
+
+order = p.Results.order;
+scale = p.Results.scale;
+ltpdamode = p.Results.LTPDAmode;
+LTPDAbug = p.Results.LTPDAbug;
+%% ------ Set up some variables -------------------------------------------
+entireData = ts;
+nData = length(entireData);
+fmin = fs / nData; % * bmin;
+fmax = fs/2;
+g = log(fmax) - log(fmin);
+minAvgs = 1;
+maxFreqs = 2*desFreqs; %overestimate n. of fourier frequencies
+ravg = fs/nData * (1 + (1-olap)*(double(desAvg)-1));
+rmin = fs/nData * (1 + (1-olap)*(double(minAvgs)-1));
+
+%% calculating freqs and resolution
+
+bmin = 1;
+%LTPDA Switch:
+if ltpdamode
+ % LTPDA version
+ Ndata = nData;
+ Jdes = desFreqs;
+ Kdes = desAvg;
+
+ xov = (1 - olap);
+ fmin = fs / Ndata * bmin;
+ fmax = fs/2;
+ fresmin = fs / Ndata;
+ freslim = fresmin * (1+xov*(Kdes-1));
+ logfact = (Ndata/2)^(1/Jdes) - 1;
+
+ f = [];
+ r = [];
+ b = [];
+ L = [];
+ K = [];
+
+ fi = fmin;
+ while fi < fmax
+
+ fres = fi * logfact;
+ if fres <= freslim
+ fres = sqrt(fres*freslim);
+ end
+ if fres < fresmin
+ fres = fresmin;
+ end
+
+ bin = fi/fres;
+ if bin < bmin
+ bin = bmin;
+ fres = fi/bin;
+ end
+
+ dftlen = round(fs / fres);
+ if dftlen > Ndata
+ dftlen = Ndata;
+ end
+ if dftlen < Lmin
+ dftlen = Lmin;
+ end
+
+ nseg = round((Ndata - dftlen) / (xov*dftlen) + 1);
+ if nseg == 1
+ dftlen = Ndata;
+ end
+
+ fres = fs / dftlen;
+ bin = fi / fres;
+
+ % Store outputs
+ f = [f fi]; %#ok<*AGROW>
+ r = [r fres];
+ b = [b bin];
+ L = [L dftlen];
+ K = [K nseg];
+
+ fi = fi + fres;
+
+ end
+ segLength = L(:);
+ fArr = f(:);
+ binArr = b(:);
+ P = zeros(size(fArr));
+ enbwcoef = zeros(size(fArr));
+ j = 1:length(f);
+ nAvgs = K(:);
+
+elseif ~ltpdamode
+ % Implementation according to the paper (see reference in header)
+ j = (0:1:maxFreqs-1);
+ f = fmin*exp(g*(double(j)/(double(desFreqs)-1)));
+ r_1p = f*g/(double(desFreqs)-1);
+ r_2p = zeros(size(r_1p));
+
+ segLength = zeros(1,maxFreqs);
+ fRes = zeros(1,maxFreqs);
+ fArr = zeros(1,maxFreqs);
+ binArr = zeros(1,maxFreqs);
+ jj = 1;
+ fj = f(jj);
+ while fj < fmax
+ if r_1p(jj) >= ravg % eq. 18 in the paper
+ r_2p(jj) = r_1p(jj);
+ elseif sqrt(r_1p(jj)*ravg) > rmin && r_1p(jj) < ravg % see errata
+ r_2p(jj) = sqrt(r_1p(jj)*ravg);
+ else
+ r_2p(jj) = rmin;
+ end
+ segLength(jj) = round(fs/r_2p(jj));
+ fRes(jj) = fs/double(segLength(jj));
+ fArr(jj) = fj;
+ binArr(jj) = fArr(jj)/fRes(jj);
+
+ fj = fArr(jj) + fRes(jj);
+ jj = jj+1;
+ end
+ %% -- crop ---
+ segLength = segLength(1:jj-1)';
+ fArr = fArr(1:jj-1)';
+ binArr = binArr(1:jj-1)';
+ P = zeros(1,jj-1)';
+ enbwcoef = zeros(size(fArr));
+ j = j(1:jj-1)';
+ nAvgs = floor(double(nData - segLength)./(double(segLength).*(1-olap))+1);
+ %A = (nAvgs == 1); why?
+ %segLength(A) = nData;
+end
+
+%% -- loop over frequencies and segments
+for jj = 1:length(j)
+ ll = (0:segLength(jj)-1)';
+
+ if nAvgs(jj) == 1
+ segShift = 1;
+ else
+ segShift = (nData-segLength(jj))/(nAvgs(jj)-1);
+ end
+
+ Aj = zeros(1,nAvgs(jj));
+ win = getwin(wintype,segLength(jj));
+ S1 = sum(win);
+ S2 = sum(win.^2);
+ C_PS = 2/S1^2;
+ C_PSD = 2/(fs*S2);
+
+ % use same order in LTPDA (deviations close to machine precision)
+ fourierFactor = exp(2*pi*1i*binArr(jj)/segLength(jj).*ll);
+ detrendMat = [];
+ detrendMatInv = [];
+
+ for kk = 0:int32(nAvgs(jj))-1
+
+ seg = entireData(kk*segShift+1:kk*segShift+segLength(jj));
+ segAvg = sum(seg)/segLength(jj);
+
+ %detrend options
+ if order == -1 %no detrend
+ weightedSeg = seg.*win;
+ elseif order == 0
+ weightedSeg = (seg - segAvg).*win;
+ else
+ if size(detrendMat,1) ~= numel(seg)
+ % self-made polynomial fitting
+ % matlab polyfit is too slow here
+ detrendMat = ones(numel(seg),1);
+ for iz=1:order
+ detrendMat(:,iz+1) = ((1:1:numel(seg))/numel(seg))'.^iz;
+ end
+ detrendMatInv=inv(detrendMat'*detrendMat)*detrendMat'; %#ok<MINV>
+ end
+ pf = detrendMatInv*seg; % pf contains polynomial coefficients
+ weightedSeg = (seg-detrendMat*pf).*win;
+ end
+
+ Aj(kk+1) = sum(weightedSeg .* fourierFactor);
+ end
+
+ if LTPDAbug
+ % reproduce buggy Welford's algorithm that LTPDA is using
+ tt = Aj.*conj(Aj);
+ Mr = 0;
+ for ii=1:length(tt)
+ if ii==1
+ Mr = tt(ii);
+ else
+ Mr = Mr + (tt(ii)-Mr)/(ii-1); % here is the off by one error
+ end
+ end
+ % replace result with wrong result from LTPDA
+ P(jj) = Mr; % replace result
+ else
+ % compute average
+ P(jj) = sum(Aj.*conj(Aj))/(nAvgs(jj));
+ end
+
+ enbwcoef(jj) = fs*S2/S1^2;
+ scale = upper(scale);
+ switch scale
+ case 'PSD'
+ P(jj) = C_PSD*P(jj);
+ case 'PS'
+ P(jj) = C_PS*P(jj);
+ case 'ASD'
+ P(jj) = sqrt(C_PSD*P(jj));
+ case 'AS'
+ P(jj) = sqrt(C_PS*P(jj));
+ otherwise
+ error('undefined scale? %s',scale);
+ end
+end
+
+
+if nargout == 0
+ % create a basic plot
+ figure;
+ plot(fArr, P)
+ set(gca, 'yscale', 'log', 'xscale', 'log')
+ xlabel('Fourier Frequency [Hz]')
+ if strcmpi(scale, 'PS')
+ ylabel('Signal PS [X^2]')
+ elseif strcmpi(scale, 'PSD')
+ ylabel('Signal PSD [X^2/Hz]')
+ elseif strcmpi(scale, 'AS')
+ ylabel('Signal AS [X]')
+ elseif strcmpi(scale, 'ASD')
+ ylabel('Signal ASD [X/rtHz]')
+ end
+
+ clearvars('P'); % remove output, if no semicolon
+end
+
+end
diff --git a/utils/facade/fpsd.m b/utils/facade/fpsd.m
new file mode 100644
index 0000000000000000000000000000000000000000..c12b2aa4107d9208491721cd1e627c87e31e0a81
--- /dev/null
+++ b/utils/facade/fpsd.m
@@ -0,0 +1,334 @@
+function [P, fArr, enbw, dev] = fpsd(varargin)
+%% Compute Power Spectral Density (PSD) of a time-series
+%
+% Code has been ported from LTPDA to bare MATLAB
+%
+% Example:
+% y = randn(100000,1)*sqrt(3/2)*1e-3;
+% [P,F] = mypsd( 'ts', y, 'fs', 3, 'scale','asd');
+% loglog(F, P);
+%
+%
+% WOSA implements Welch's overlaped segmented averaging algorithm with
+% segment detrending and variance estimation.
+%
+% INPUTS:
+% ts - y-values of time-series
+% fs - sample frequency in [Hz]
+% win - window name, e.g. 'hanning'
+% see documentation of "getwin.m"
+% navs - force numbers of averages
+%
+% Order - order of detrending
+% -1 - no detrending
+% 0 - subtract mean
+% 1 - subtract linear fit
+% N - subtract fit of polynomial, order N
+% Scale - Scaling of output. Choose from:
+% 'AS' - Amplitude (linear) Spectrum
+% 'ASD' - Amplitude (linear) Spectral Density
+% 'PS' - Power Spectrum
+% 'PSD' - Power Spectral Density [default]
+%
+% Olap - desired overlap percentage, value between 0..100
+% (default value of -1 means taken "optimum" for window function)
+% nfft - number of samples in each fft [default: length of input data].
+%
+% OUTPUTS:
+% P - spectral estimate in units requested by 'scale' parameter
+% Nx1
+% fArr - frequency values in [Hz]
+% Nx1
+% enbw - Equivalent Noise Bandwidth [Hz]
+% dev - standard deviation at each PSD sample (from averaging),
+% empty [] if no averaging was applied
+%
+%
+%
+% Author: Arthur Reis
+% email: arthur.reis@aei.mpg.de
+% last rev: 08.02.2022
+% --------------------------------------------------------------------
+
+%% process inputs
+defaultts = [];
+defaultfs = 0;
+defaultwin = 'hanning';
+defaultolap = -1;
+defaultnfft = -1;
+defaultnavs = -1;
+defaultmask = [];
+defaultorder = 0;
+defaultscale = 'PSD';
+expectedscales = {'AS','PS','ASD','PSD'};
+
+% parameter parsing, required parms will throw error w/ defaults;
+p = inputParser;
+addParameter(p, 'ts', defaultts, @(x) ~isempty(x));
+addParameter(p, 'fs', defaultfs, @(x) isnumeric(x) && x>0);
+addParameter(p, 'win', defaultwin);
+addParameter(p, 'mask', defaultmask);
+addParameter(p, 'olap', defaultolap);
+addParameter(p, 'order', defaultorder,...
+ @(x) isscalar(x) && (x>=-1));
+addParameter(p, 'scale', defaultscale,...
+ @(x) any(validatestring(x,expectedscales)));
+addParameter(p, 'nfft', defaultnfft);
+addParameter(p, 'navs', defaultnavs);
+
+parse(p, varargin{:});
+
+ts = p.Results.ts;
+if isrow(ts)
+ ts = ts';
+end
+if size(ts,2) ~= 1
+ error('input ts not Nx1 or 1xN');
+end
+fs = p.Results.fs;
+wintype = p.Results.win;
+if p.Results.olap == -1
+ [~, mw] = getwin(wintype,1);
+ olap = mw.rov/100.0;
+else
+ olap = p.Results.olap/100.0;
+end
+
+mask = p.Results.mask;
+order = p.Results.order;
+scale = p.Results.scale;
+nfft = p.Results.nfft;
+navs = p.Results.navs;
+if nfft == -1 && navs < 1
+ nfft = length(ts);
+end %apply default
+
+L = numel(ts);
+
+
+if navs > 1
+ if nfft ~= -1
+ warning('navs and nfft specified. using nfft.');
+ else
+ % Compute the number of segments
+ M = length(ts);
+ L2 = round(M/(navs*(1-olap) + olap));
+ %fprintf('Asked for navs = %d\n', navs);
+ % Checks it will really obtain the correct answer.
+ % This is needed to cope with the need to work with integers
+ while fix((M-round(L2*olap))/(L2-round(L2*olap))) < navs
+ L2 = L2 - 1;
+ end
+ %navs_actual = fix((M-round(L2*olap))/(L2-round(L2*olap)));
+ %fprintf( 'Expect to get navs_actual = %d\n', navs_actual);
+ if L2 > 0
+ % Reset Nfft
+ nfft = L2;
+ %fprintf('reset navs to %d\n', fix(navs_actual));
+ end
+ end
+end
+
+winVals = getwin(wintype, nfft);
+xolap = round(olap*nfft); % Should this be round or floor?
+nSegments = fix((L - xolap) ./ (nfft - xolap));
+
+% Compute start and end indices of each segment
+segmentStep = nfft - xolap;
+segmentStarts = 1 : segmentStep : nSegments*segmentStep;
+segmentEnds = segmentStarts + nfft - 1;
+
+if isempty(mask) %?
+ mask = ones(1, nSegments);
+end
+if length(mask) ~= nSegments
+ error('Please give a mask vector which is the same length as the number of segments (in this case %d)', nSegments);
+end
+
+% ensure we have logicals here
+mask = logical(mask);
+
+% filter the segments according to the mask
+segmentStarts = segmentStarts(mask);
+segmentEnds = segmentEnds(mask);
+nSegments = numel(segmentStarts);
+
+[Sxx, Svxx] = psdPeriodogram(ts, winVals, nSegments, ...
+ segmentStarts, segmentEnds, order);
+[Pxx, Pvxx] = scaleToPSD(Sxx, Svxx, nfft, fs);
+% For the errors, the 1/nSegments factor should come after welchscale
+% if we don't want to apply sqrt() to it. We correct for that here.
+% It is only needed for 'asd','as' in psd/cpsd, the other cases go
+% always through 'PSD'.
+if (strcmpi(scale,'PSD') || strcmpi(scale,'PS'))
+ dP = Pvxx;
+elseif (strcmpi(scale,'ASD') || strcmpi(scale,'AS'))
+ dP = Pvxx / nSegments;
+else
+ error('### Unknown scale')
+end
+
+% Compute frequencies
+freqs = psdfreqvec('npts', nfft, 'Fs', fs, 'Range', 'half').';
+
+% Scale to required units
+[Pxx, dP, enbw] = welchscale(Pxx, dP, winVals, fs, scale);
+
+if nSegments == 1
+ dev = [];
+else
+ dev = sqrt(dP);
+end
+
+% Set outputs
+P = Pxx;
+fArr = freqs';
+% enbw = enbw; %#ok<ASGSL>
+% dev = dev; %#ok<ASGSL>
+
+if nargout == 0
+ % create a basic plot
+ figure;
+ plot(freqs', Pxx)
+ set(gca, 'yscale', 'log', 'xscale', 'log')
+ xlabel('Fourier Frequency [Hz]')
+ if strcmpi(scale, 'PS')
+ ylabel('Signal PS [X^2]')
+ elseif strcmpi(scale, 'PSD')
+ ylabel('Signal PSD [X^2/Hz]')
+ elseif strcmpi(scale, 'AS')
+ ylabel('Signal AS [X]')
+ elseif strcmpi(scale, 'ASD')
+ ylabel('Signal ASD [X/rtHz]')
+ end
+
+ clearvars('P'); % remove output, if no semicolon
+end
+end
+
+% scale averaged periodogram to PSD
+function [Pxx, Pvxx] = scaleToPSD(Sxx, Svxx, nfft, fs)
+
+ % Take 1-sided spectrum which means we double the power in the
+ % appropriate bins
+ if rem(nfft,2)
+ indices = 1:(nfft+1)/2; % ODD
+ Sxx1sided = Sxx(indices,:);
+ % double the power except for the DC bin
+ Sxx = [Sxx1sided(1,:); 2*Sxx1sided(2:end,:)];
+ if ~isempty(Svxx)
+ Svxx1sided = Svxx(indices,:);
+ Svxx = [Svxx1sided(1,:); 4*Svxx1sided(2:end,:)];
+ end
+ else
+ indices = 1:nfft/2+1; % EVEN
+ Sxx1sided = Sxx(indices,:);
+ % Double power except the DC bin and the Nyquist bin
+ Sxx = [Sxx1sided(1,:); 2*Sxx1sided(2:end-1,:); Sxx1sided(end,:)];
+ if ~isempty(Svxx)
+ Svxx1sided = Svxx(indices,:); % Take only [0,pi] or [0,pi)
+ Svxx = [Svxx1sided(1,:); 4*Svxx1sided(2:end-1,:); Svxx1sided(end,:)];
+ end
+ end
+
+ % Now scale to PSD
+ Pxx = Sxx ./ fs;
+ Pvxx = Svxx ./ fs^2;
+end
+
+% compute psd
+function [Sxx, Svxx] = psdPeriodogram(x, winVals, nSegments, segmentStarts, segmentEnds, order)
+ Mnxx = 0;
+ Mn2xx = 0;
+ nfft = segmentEnds(1) - segmentStarts(1) + 1;
+ detrendMat = [];
+ detrendMatInv = [];
+ % Loop over the segments
+ for ii = 1:nSegments
+ seg = x(segmentStarts(ii):segmentEnds(ii));
+ if order == -1 %
+ ; %#ok<NOSEMI>
+ elseif order == 0
+ seg = (seg - mean(seg));
+ else
+ if size(detrendMat,1) ~= numel(seg)
+ detrendMat = ones(numel(seg),1);
+ for iz=1:order
+ detrendMat(:,iz+1) = ((1:1:numel(seg))/numel(seg))'.^iz;
+ end
+ detrendMatInv=inv(detrendMat'*detrendMat)*detrendMat'; %#ok<MINV>
+ end
+ pf = detrendMatInv*seg;
+ seg = (seg-detrendMat*pf);
+ end
+ % Compute periodogram
+ Sxxk = wosa_periodogram(seg, [], winVals, nfft);
+ % Welford's algorithm for updating mean and variance
+ if ii == 1
+ Mnxx = Sxxk;
+ else
+ Qxx = Sxxk - Mnxx;
+ Mnxx = Mnxx + Qxx/ii;
+ Mn2xx = Mn2xx + Qxx .* (Sxxk - Mnxx);
+ end
+ end
+ Sxx = Mnxx;
+ if nSegments == 1
+ Svxx = [];
+ else
+ Svxx = Mn2xx/(nSegments-1)/nSegments;
+ end
+
+end
+
+function Sxx = wosa_periodogram(x, ~, win, nfft)
+
+ xwin = x .* win;
+ X = fft(xwin, nfft);
+ K = win' * win;
+ Sxx = X .* conj(X) / K;
+
+end
+
+function [yy, dyy, enbw] = welchscale(xx, dxx, win, fs, norm)
+
+ S1 = sum(win);
+ S2 = sum(win.^2);
+ enbw = fs * S2 / (S1*S1);
+
+ if isempty(norm)
+ norm = 'None';
+ end
+ switch lower(norm)
+ case 'asd'
+ yy = sqrt(xx);
+ if isempty(dxx)
+ dyy = dxx;
+ else
+ dyy = 1./2./sqrt(xx) .* dxx;
+ end
+
+ case 'psd'
+ yy = xx;
+ dyy = dxx;
+
+ case 'as'
+ yy = sqrt(xx * enbw);
+ if isempty(dxx)
+ dyy = dxx;
+ else
+ dyy = 1./2./sqrt(xx) .* dxx * enbw;
+ end
+
+ case 'ps'
+ yy = xx * enbw;
+ dyy = dxx * enbw;
+
+ case 'none'
+ yy = xx;
+ dyy = dxx;
+
+ otherwise
+ error('Unknown normalisation');
+ end
+end
\ No newline at end of file
diff --git a/utils/facade/getwin.m b/utils/facade/getwin.m
new file mode 100644
index 0000000000000000000000000000000000000000..03314db08ac443f25623595b8cf27e3b4939e45e
--- /dev/null
+++ b/utils/facade/getwin.m
@@ -0,0 +1,109 @@
+function varargout = getwin(varargin)
+%% GETWIN - return an array of length N of the window function.
+%
+% Uses the implementation of window functions from LTPDA and returns a simple
+% array of values.
+%
+% Example:
+% [winvals, winstruct] = getwin('hanning', N)
+% [winstruct] = getwin('hanning')
+%
+%
+% Inputs:
+% winname - name of the window function, string, see list below
+% N - length of the array, integer;
+%
+% Outputs:
+% winvals - window values Nx1
+% winstruct - struct containing informtion on the window function
+%
+% -----------------------------------------------------------------------
+% Reference: Heinzel, G., Rüdiger, A., & Schilling, R. (2002). Spectrum and
+% spectral density estimation by the Discrete Fourier transform (DFT),
+% including a comprehensive list of window functions and some new
+% flat-top windows., http://hdl.handle.net/11858/00-001M-0000-0013-557A-5
+% -----------------------------------------------------------------------
+% Author: Arthur Reis
+% email: arthur.reis@aei.mpg.de
+% Nov 2021; Last revision: 28.Jan.2022;
+% ---------------------------
+% List of available window functions:
+% 'Rectangular'
+% 'Welch'
+% 'Bartlett'
+% 'Hanning'
+% 'Hamming'
+% 'Nuttall3'
+% 'Nuttall4'
+% 'Nuttall3a'
+% 'Nuttall3b'
+% 'Nuttall4a'
+% 'Nuttall4b'
+% 'Nuttall4c'
+% 'BH92'
+% 'SFT3F'
+% 'SFT3M'
+% 'FTNI'
+% 'SFT4F'
+% 'SFT5F'
+% 'SFT4M'
+% 'FTHP'
+% 'HFT70'
+% 'FTSRS'
+% 'SFT5M'
+% 'HFT90D'
+% 'HFT95'
+% 'HFT116D'
+% 'HFT144D'
+% 'HFT169D'
+% 'HFT196D'
+% 'HFT223D'
+% 'HFT248D'
+% 'Kaiser'
+% 'levelledHanning'
+
+
+ window.type = ''; % name of window object
+ window.alpha = []; % alpha parameter for various window functions
+ window.psll = []; % peak sidelobe level
+ window.rov = []; % recommended overlap
+ window.nenbw = []; % normalised equivalent noise bandwidth
+ window.w3db = []; % 3 dB bandwidth in bins
+ window.flatness = []; % window flatness
+ window.levelorder = []; % levelling coefficient
+ window.skip = []; %#ok<*STRNU> % number of bins to skip
+ %
+ if ~exist('win_hanning.m','file')
+ error('you need to add facade repository or "windows" sub-folder to PATH');
+ end
+ if nargout == 1 && nargin == 1
+ if isa(varargin{1},'struct')
+ winname = lower(varargin{1}.type);
+ N = varargin{1}.len; %#ok<NASGU>
+ window = eval(strcat('win_',winname,'(window, ''define'', N)')); %#ok<NASGU>
+ varargout{1} = eval(strcat('win_',winname,'(window, ''build'', N)'))';
+ else
+ % if only the name is specified, return struct without evaluating
+ %return only struct
+ N = -1; %#ok<NASGU>
+ winname = lower(varargin{1});
+ window = eval(strcat('win_',winname,'(window, ''define'', N)'));
+ varargout{1} = window;
+ end
+ elseif nargout == 1 && nargin == 2
+ % return only values
+ winname = lower(varargin{1});
+ N = varargin{2}; %#ok<NASGU>
+ window = eval(strcat('win_',winname,'(window, ''define'', N)')); %#ok<NASGU>
+ window_values = eval(strcat('win_',winname,'(window, ''build'', N)'))';
+ varargout{1} = window_values;
+ elseif nargout == 2 && nargin == 2
+ % return values and struct
+ winname = lower(varargin{1});
+ N = varargin{2}; %#ok<NASGU>
+ window = eval(strcat('win_',winname,'(window, ''define'', N)'));
+ varargout{1} = eval(strcat('win_',winname,'(window, ''build'', N)'))';
+ varargout{2} = window;
+ end
+end
+
diff --git a/utils/facade/rand_test.m b/utils/facade/rand_test.m
new file mode 100644
index 0000000000000000000000000000000000000000..8c6c9882b691e6ff9bc49e5baee4b9924138fd25
--- /dev/null
+++ b/utils/facade/rand_test.m
@@ -0,0 +1,107 @@
+clear all;
+% ,'BH92', is special, since it has non-zero drop samples
+%
+% drop samples is not implemented in LTPDA LPSD, but in LTPDA/PSD, and not
+% in facade
+winL = {'Rectangular','Welch','Bartlett','Hanning','Hamming','Nuttall3','Nuttall4','Nuttall3a','Nuttall3b','Nuttall4a','Nuttall4b','Nuttall4c','SFT3F','SFT3M','FTNI','SFT4F','SFT5F','SFT4M','FTHP','HFT70','FTSRS','SFT5M','HFT90D','HFT95','HFT116D','HFT144D','HFT169D','HFT196D','HFT223D','HFT248D'};
+while (true)
+ fSample = (rand(1))*1e3;
+ N=round(rand(1)*1e5);
+ mt = [0:1:N]/fSample;
+ fsin = 10^(rand(1))*log10(fSample/2);
+ pf1 = randn(1);
+ pf2 = randn(1);
+ y = randn(size(mt))*sqrt(fSample/2)*1e-3 + sqrt(2)*sin(2*pi*fsin*mt)+ mt*pf1 + mt.^2*pf2;
+
+ Kdes = round((rand(1)*200)+1);
+ Jdes = round((rand(1)*2000)+1);
+ Lmin = 0;
+ if round(rand(1))
+ mynavs = round(rand(1)*100);
+ elseif round(rand(1))
+ mynavs = 0;
+ else
+ mynavs = -1;
+ end
+
+ if round(rand(1))
+ nfft = round(rand(1)*N);
+ else
+ nfft = -1;
+ end
+
+ if round(rand(1))
+ olap = round(rand(1)*100);
+ else
+ olap = -1;
+ end
+
+ order = round(rand(1)*3)-1;
+
+ %mywin = 'bh92';
+ mywin = winL{ ceil(rand(1)*numel(winL)) };
+ ll = {'ASD','PSD','PS','AS'};
+ myscale = ll{floor((rand(1))*4)+1};
+ ap1 = ao(plist('type','tsdata','yvals', y,'fs', fSample,'yunits','m','name','x'));
+ % Compare implementations
+
+% tic
+% [a_org,f_org, enbwcoeff] = flpsd( 'ts', y, 'fs', fSample, 'Kdes', Kdes, 'Lmin', Lmin, ...
+% 'Jdes', Jdes, 'win', mywin, 'olap', olap, 'order', order,...
+% 'scale', myscale, 'LTPDAmode',false);
+% toc
+ tic
+ [a_ltp,f_ltp, enbwcoeff2] = flpsd( 'ts', y, 'fs', fSample, 'Kdes', Kdes, 'Lmin', Lmin, ...
+ 'Jdes', Jdes, 'win', mywin, 'olap', olap, 'order', order,...
+ 'scale', myscale, 'LTPDAmode',true, 'LTPDAbug',true);
+ toc
+ tic
+
+ aoPSD2 = lpsd([ap1],plist('scale', myscale,'win', mywin, 'order', order,'kdes',Kdes,'jdes',Jdes,'olap',olap));
+ toc
+ tic
+ aoPSD3 = psd([ap1],plist('scale', myscale,'win', mywin,'navs',mynavs,'olap',olap,'order', order, 'nfft', nfft ));
+ toc
+ tic
+ [aoPSD4, fpsd4, enbw] = fpsd( 'ts', y, 'fs', fSample, 'win', mywin, 'olap', olap, 'order', order,...
+ 'scale', myscale, 'navs', mynavs, 'nfft', nfft );
+ toc
+ %%
+ try
+ er1 = fpsd4-aoPSD3.x;
+ catch
+ numel(fpsd4)
+ numel(aoPSD3.x)
+ N/mynavs
+ end
+ er2 = abs((aoPSD4-aoPSD3.y)./aoPSD3.y);
+ if er2(1) > 1e-4
+ warning('diff PSD first sample: %e', er2(1));
+ elseif any(er2(2:end) > 1e-4)
+ error('diff PSD: amplitude');
+ end
+ if any(er1 ~=0)
+ error('diff PSD: frequency');
+ end
+
+ er1 = f_ltp-aoPSD2.x;
+ er2 = abs((a_ltp-aoPSD2.y)./aoPSD2.y);
+ if any(er2 > 1e-1)
+ error('diff LPSD: amplitude');
+ end
+ if any(er1 ~=0)
+ error('diff LPSD: frequency');
+ end
+ %error('fin');
+end % while loope
+%%
+figure
+%loglog(f_org, a_org); hold on;
+loglog(f_ltp, a_ltp, aoPSD2.x, aoPSD2.y);
+hold on;
+loglog(aoPSD3.x, aoPSD3.y);
+loglog(fpsd4, aoPSD4,'g--');
+legend('flpsd paper','flpsd rwrt. from LTPDA','LPSD from LTPDA','PSD from LTPDA', 'fpsd');
+%loglog(f_org, a_org, f_ltp, a_ltp, aoPSD2.x, aoPSD2.y);
+title('Comparison of implementations')
+xlabel('Frequency [Hz]')
\ No newline at end of file
diff --git a/utils/facade/test_flpsd.m b/utils/facade/test_flpsd.m
new file mode 100644
index 0000000000000000000000000000000000000000..6b5f90216d7045f9e7e4c3337ec13bb4093cd070
--- /dev/null
+++ b/utils/facade/test_flpsd.m
@@ -0,0 +1,190 @@
+func = @(f) 1e-5.*f.^-2 + f.^4;
+fMin = 1e-4;
+fSample = 1;
+fMax = fSample/2;
+frequencies = [fMin, fMax, fSample];
+N = 1e5;
+fSeries = createFrequencyArray(frequencies(2),0,N,'lin', 2,'reverse');
+enbw = 1;
+ts = createTimeseriesFromASD_ENBW(func,fSeries, enbw).Data;
+Kdes = 100;
+olap = 30;
+Jdes = 1000;
+Lmin = 1;
+ap1 = ao(plist('type','tsdata','yvals', ts,'fs', fSample,'yunits','m','name','x'));
+% parameters: ts, fs, Kdes, Lmin, Jdes, win, olap, order, scale
+%% Compare implementations
+order = 0;
+[a_org,f_org] = flpsd( 'ts', ts, 'fs', fSample, 'Kdes', Kdes, 'Lmin', Lmin, ...
+ 'Jdes', Jdes, 'win', 'hanning', 'olap', olap, 'order', order,...
+ 'scale', 'PSD', 'LTPDAmode',false);
+[a_ltp,f_ltp] = flpsd( 'ts', ts, 'fs', fSample, 'Kdes', Kdes, 'Lmin', Lmin, ...
+ 'Jdes', Jdes, 'win', 'hanning', 'olap', olap, 'order', order,...
+ 'scale', 'PSD', 'LTPDAmode',true);
+
+aoPSD2 = lpsd([ap1],plist('Kdes', Kdes, 'Lmin', Lmin, ...
+ 'Jdes', Jdes, 'win', 'hanning', 'olap', olap, 'order', order,...
+ 'scale', 'PSD'));
+figure
+loglog(f_org, a_org, f_ltp, a_ltp, aoPSD2.x, aoPSD2.y);
+legend('LPSD rewritten from paper', 'LPSD rwrt. from LTPDA','LPSD LPDA');
+title('Comparison of implementations')
+xlabel('F[Hz]')
+ylabel('PSD [units^2/Hz]')
+
+%% comparison of detrending capabilities
+ts = ts + ((1:length(ts))').^2;
+y=ts;
+
+ap1 = ao(plist('type','tsdata','yvals', y,'fs', fSample,'yunits','m','name','x'));
+order = 1;
+[a_org_1,f_org_1] = flpsd( 'ts', ts, 'fs', fSample, 'Kdes', Kdes, 'Lmin', Lmin, ...
+ 'Jdes', Jdes, 'win', 'hanning', 'olap', olap, 'order', order,...
+ 'scale', 'PSD', 'LTPDAmode',false);
+
+aoPSD2_1 = lpsd([ap1],plist('Kdes', Kdes, 'Lmin', Lmin, ...
+ 'Jdes', Jdes, 'win', 'hanning', 'olap', olap, 'order', order,...
+ 'scale', 'PSD'));
+order = 2;
+[a_org_2,f_org_2] = flpsd( 'ts', ts, 'fs', fSample, 'Kdes', Kdes, 'Lmin', Lmin, ...
+ 'Jdes', Jdes, 'win', 'hanning', 'olap', olap, 'order', order,...
+ 'scale', 'PSD', 'LTPDAmode',false);
+
+aoPSD2_2 = lpsd([ap1],plist('Kdes', Kdes, 'Lmin', Lmin, ...
+ 'Jdes', Jdes, 'win', 'hanning', 'olap', olap, 'order', order,...
+ 'scale', 'PSD'));
+order = 0;
+[a_org_0,f_org_0] = flpsd( 'ts', ts, 'fs', fSample, 'Kdes', Kdes, 'Lmin', Lmin, ...
+ 'Jdes', Jdes, 'win', 'hanning', 'olap', olap, 'order', order,...
+ 'scale', 'PSD', 'LTPDAmode',false);
+
+aoPSD2_0 = lpsd([ap1],plist('Kdes', Kdes, 'Lmin', Lmin, ...
+ 'Jdes', Jdes, 'win', 'hanning', 'olap', olap, 'order', order,...
+ 'scale', 'PSD'));
+
+figure
+
+t = tiledlayout(2,1);
+title(t,'Comparison of detrending capabilities - timeseries w/ quad bias')
+ax1 = nexttile;
+loglog(f_org_0, a_org_0, f_org_1, a_org_1, f_org_2, a_org_2);
+legend('LTPDA remove mean', 'LTPDA remove linear', 'LTPDA remove quad');
+ylabel('PSD [units^2/Hz]')
+
+ax2 = nexttile;
+loglog(aoPSD2_0.x,aoPSD2_0.y, aoPSD2_1.x, aoPSD2_1.y, aoPSD2_2.x, aoPSD2_2.y);
+legend('flpsd remove mean', 'flpsd remove linear', 'flpsd remove quad');
+xlabel('F[Hz]')
+ylabel('PSD [units^2/Hz]')
+linkaxes([ax1,ax2],'x');
+
+%% comparison of scales (monochromatic signal)
+ts = sqrt(2)*sin(1:10000)';
+ap1 = ao(plist('type','tsdata','yvals', ts,'fs', fSample,'yunits','m','name','x'));
+Pflpsd = [];
+Fflpsd = [];
+Pltpda = [];
+Fltpda = [];
+scales = {'PSD','PS','ASD','AS'};
+for s=1:4
+[pp,ff] = flpsd( 'ts', ts, 'fs', fSample, 'Kdes', Kdes, 'Lmin', Lmin, ...
+ 'Jdes', Jdes, 'win', 'hanning', 'olap', olap, 'order', order,...
+ 'scale', scales{s});
+ltpout = lpsd([ap1],plist('Kdes', Kdes, 'Lmin', Lmin, ...
+ 'Jdes', Jdes, 'win', 'hanning', 'olap', olap, 'order', order,...
+ 'scale', scales{s}));
+ Pflpsd(:,s) = pp;
+ Fflpsd(:,s) = ff;
+ Pltpda(:,s) = ltpout.y;
+ Fltpda(:,s) = ltpout.x;
+end
+
+ %%
+figure
+
+t = tiledlayout(2,2);
+title(t,'Comparison of scaling capabilities (monochromatic)')
+
+ax1 = nexttile;
+title('PSD')
+loglog(Fflpsd(:,1), Pflpsd(:,1),Fltpda(:,1), Pltpda(:,1));
+legend('rewritten','ltpda');
+ylabel('PSD [units^2/Hz]')
+xlabel('F[Hz]')
+
+ax2 = nexttile;
+title('PS')
+loglog(Fflpsd(:,2), Pflpsd(:,2),Fltpda(:,2), Pltpda(:,2));
+legend('rewritten','ltpda');
+ylabel('PS [units^2]')
+xlabel('F[Hz]')
+
+ax3 = nexttile;
+title('ASD')
+loglog(Fflpsd(:,3), Pflpsd(:,3),Fltpda(:,3), Pltpda(:,3));
+legend('rewritten','ltpda');
+ylabel('ASD [units/sqrt(Hz)]')
+xlabel('F[Hz]')
+
+ax4 = nexttile;
+
+title('AS')
+loglog(Fflpsd(:,4), Pflpsd(:,4),Fltpda(:,4), Pltpda(:,4));
+legend('rewritten','ltpda');ylabel('AS [units]')
+xlabel('F[Hz]')
+
+%% comparison of scales broad spectrum signal
+ts = createTimeseriesFromASD_ENBW(func,fSeries, enbw).Data;
+ap1 = ao(plist('type','tsdata','yvals', ts,'fs', fSample,'yunits','m','name','x'));
+Pflpsd = [];
+Fflpsd = [];
+Pltpda = [];
+Fltpda = [];
+scales = {'PSD','PS','ASD','AS'};
+for s=1:4
+[pp,ff] = flpsd( 'ts', ts, 'fs', fSample, 'Kdes', Kdes, 'Lmin', Lmin, ...
+ 'Jdes', Jdes, 'win', 'hanning', 'olap', olap, 'order', order,...
+ 'scale', scales{s});
+ltpout = lpsd([ap1],plist('Kdes', Kdes, 'Lmin', Lmin, ...
+ 'Jdes', Jdes, 'win', 'hanning', 'olap', olap, 'order', order,...
+ 'scale', scales{s}));
+ Pflpsd(:,s) = pp;
+ Fflpsd(:,s) = ff;
+ Pltpda(:,s) = ltpout.y;
+ Fltpda(:,s) = ltpout.x;
+end
+
+%%
+figure
+
+t = tiledlayout(2,2);
+title(t,'Comparison of scaling capabilities (broad spec)')
+
+ax1 = nexttile;
+title('PSD')
+loglog(Fflpsd(:,1), Pflpsd(:,1),Fltpda(:,1), Pltpda(:,1));
+legend('rewritten','ltpda');
+ylabel('PSD [units^2/Hz]')
+xlabel('F[Hz]')
+
+ax2 = nexttile;
+title('PS')
+loglog(Fflpsd(:,2), Pflpsd(:,2),Fltpda(:,2), Pltpda(:,2));
+legend('rewritten','ltpda');
+ylabel('PS [units^2]')
+xlabel('F[Hz]')
+
+ax3 = nexttile;
+title('ASD')
+loglog(Fflpsd(:,3), Pflpsd(:,3),Fltpda(:,3), Pltpda(:,3));
+legend('rewritten','ltpda');
+ylabel('ASD [units/sqrt(Hz)]')
+xlabel('F[Hz]')
+
+ax4 = nexttile;
+
+title('AS')
+loglog(Fflpsd(:,4), Pflpsd(:,4),Fltpda(:,4), Pltpda(:,4));
+legend('rewritten','ltpda');
+ylabel('AS [units]')
+xlabel('F[Hz]')
diff --git a/utils/facade/test_fpsd.m b/utils/facade/test_fpsd.m
new file mode 100644
index 0000000000000000000000000000000000000000..9af0bc635b7c45e497bf45af8e978e7e92d685a2
--- /dev/null
+++ b/utils/facade/test_fpsd.m
@@ -0,0 +1,176 @@
+func = @(f) 1e-5.*f.^-3 + 2e-2*f.^1;
+fMin = 1e-4;
+fSample = 1;
+fMax = fSample/2;
+frequencies = [fMin, fMax, fSample];
+N = 1e5;
+fSeries = createFrequencyArray(frequencies(2),0,N,'lin', 2,'reverse');
+enbw = 1;
+ts = createTimeseriesFromASD_ENBW(func,fSeries, enbw).Data;
+Kdes = 100;
+olap = 30;
+Jdes = 1000;
+Lmin = 1;
+ap1 = ao(plist('type','tsdata','yvals', ts,'fs', fSample,'yunits','m','name','x'));
+% parameters: ts, fs, Kdes, Lmin, Jdes, win, olap, order, scale
+%% Compare implementations
+order = 0;
+[a_org,f_org] = fpsd('ts', ts, 'fs', fSample,'mask',[], 'win',...
+ 'hanning', 'olap', olap, 'order', order,...
+ 'scale', 'PSD');
+ aoPSD2 = psd([ap1],plist('scale','psd','win','hanning','order',2));
+
+ figure
+ loglog(f_org, a_org, aoPSD2.x, aoPSD2.y);
+ legend('fpsd', 'PSD from LTPDA');
+ title('Comparison of PSD implementations')
+ xlabel('F[Hz]')
+ ylabel('PSD [units^2/Hz]')
+
+%% comparison of detrending capabilities
+ts = ts + ((1:length(ts))').^2;
+y=ts;
+
+ap1 = ao(plist('type','tsdata','yvals', y,'fs', fSample,'yunits','m','name','x'));
+order = 1;
+[a_org_1,f_org_1] = fpsd('ts', ts, 'fs', fSample,'mask',[], 'win',...
+ 'hanning', 'olap', olap, 'order', order,...
+ 'scale', 'PSD');
+
+aoPSD2_1 = psd([ap1],plist('scale','psd','win','hanning','order',order));
+order = 2;
+[a_org_2,f_org_2] = fpsd('ts', ts, 'fs', fSample,'mask',[], 'win',...
+ 'hanning', 'olap', olap, 'order', order,...
+ 'scale', 'PSD');
+
+aoPSD2_2 = psd([ap1],plist('scale','psd','win','hanning','order',order));
+order = 0;
+[a_org_0,f_org_0] = fpsd('ts', ts, 'fs', fSample,'mask',[], 'win',...
+ 'hanning', 'olap', olap, 'order', order,...
+ 'scale', 'PSD');
+
+aoPSD2_0 = psd([ap1],plist('scale','psd','win','hanning','order',order));
+
+figure
+
+t = tiledlayout(2,1);
+title(t,'Comparison of detrending capabilities - timeseries w/ quad bias')
+ax1 = nexttile;
+loglog(f_org_0, a_org_0, f_org_1, a_org_1, f_org_2, a_org_2);
+legend('LTPDA remove mean', 'LTPDA remove linear', 'LTPDA remove quad');
+ylabel('PSD [units^2/Hz]')
+
+ax2 = nexttile;
+loglog(aoPSD2_0.x,aoPSD2_0.y, aoPSD2_1.x, aoPSD2_1.y, aoPSD2_2.x, aoPSD2_2.y);
+legend('fpsd remove mean', 'fpsd remove linear', 'fpsd remove quad');
+xlabel('F[Hz]')
+ylabel('PSD [units^2/Hz]')
+linkaxes([ax1,ax2],'x');
+
+%% comparison of scales (monochromatic signal)
+order = -1;
+ts = sqrt(2)*sin(1:10000)';
+ap1 = ao(plist('type','tsdata','yvals', ts,'fs', fSample,'yunits','m','name','x'));
+Pflpsd = [];
+Fflpsd = [];
+Pltpda = [];
+Fltpda = [];
+scales = {'PSD','PS','ASD','AS'};
+for s=1:4
+[pp,ff] = fpsd('ts', ts, 'fs', fSample,'mask',[], 'win',...
+ 'hanning', 'olap', olap, 'order', order,...
+ 'scale', scales{s});
+ltpout = psd([ap1],plist('scale',scales{s},'win','hanning','order',order));
+ Pflpsd(:,s) = pp;
+ Fflpsd(:,s) = ff;
+ Pltpda(:,s) = ltpout.y;
+ Fltpda(:,s) = ltpout.x;
+end
+
+ %%
+figure
+
+t = tiledlayout(2,2);
+title(t,'Comparison of scaling capabilities (monochromatic)')
+
+ax1 = nexttile;
+title('PSD')
+loglog(Fflpsd(:,1), Pflpsd(:,1),Fltpda(:,1), Pltpda(:,1));
+legend('rewritten','ltpda');
+ylabel('PSD [units^2/Hz]')
+xlabel('F[Hz]')
+
+ax2 = nexttile;
+title('PS')
+loglog(Fflpsd(:,2), Pflpsd(:,2),Fltpda(:,2), Pltpda(:,2));
+legend('rewritten','ltpda');
+ylabel('PS [units^2]')
+xlabel('F[Hz]')
+
+ax3 = nexttile;
+title('ASD')
+loglog(Fflpsd(:,3), Pflpsd(:,3),Fltpda(:,3), Pltpda(:,3));
+legend('rewritten','ltpda');
+ylabel('ASD [units/sqrt(Hz)]')
+xlabel('F[Hz]')
+
+ax4 = nexttile;
+
+title('AS')
+loglog(Fflpsd(:,4), Pflpsd(:,4),Fltpda(:,4), Pltpda(:,4));
+legend('rewritten','ltpda');ylabel('AS [units]')
+xlabel('F[Hz]')
+
+%% comparison of scales broad spectrum signal
+ts = createTimeseriesFromASD_ENBW(func,fSeries, enbw).Data;
+ap1 = ao(plist('type','tsdata','yvals', ts,'fs', fSample,'yunits','m','name','x'));
+Pflpsd = [];
+Fflpsd = [];
+Pltpda = [];
+Fltpda = [];
+scales = {'PSD','PS','ASD','AS'};
+for s=1:4
+[pp,ff] = fpsd('ts', ts, 'fs', fSample,'mask',[], 'win',...
+ 'hanning', 'olap', olap, 'order', order,...
+ 'scale', scales{s});
+ltpout = psd([ap1],plist('scale',scales{s},'win','hanning','order',order));
+ Pflpsd(:,s) = pp;
+ Fflpsd(:,s) = ff;
+ Pltpda(:,s) = ltpout.y;
+ Fltpda(:,s) = ltpout.x;
+end
+
+%%
+figure
+
+t = tiledlayout(2,2);
+title(t,'Comparison of scaling capabilities (broad spec)')
+
+ax1 = nexttile;
+title('PSD')
+loglog(Fflpsd(:,1), Pflpsd(:,1),Fltpda(:,1), Pltpda(:,1));
+legend('rewritten','ltpda');
+ylabel('PSD [units^2/Hz]')
+xlabel('F[Hz]')
+
+ax2 = nexttile;
+title('PS')
+loglog(Fflpsd(:,2), Pflpsd(:,2),Fltpda(:,2), Pltpda(:,2));
+legend('rewritten','ltpda');
+ylabel('PS [units^2]')
+xlabel('F[Hz]')
+
+ax3 = nexttile;
+title('ASD')
+loglog(Fflpsd(:,3), Pflpsd(:,3),Fltpda(:,3), Pltpda(:,3));
+legend('rewritten','ltpda');
+ylabel('ASD [units/sqrt(Hz)]')
+xlabel('F[Hz]')
+
+ax4 = nexttile;
+
+title('AS')
+loglog(Fflpsd(:,4), Pflpsd(:,4),Fltpda(:,4), Pltpda(:,4));
+legend('rewritten','ltpda');
+ylabel('AS [units]')
+xlabel('F[Hz]')
diff --git a/utils/facade/windows/win_bartlett.m b/utils/facade/windows/win_bartlett.m
new file mode 100644
index 0000000000000000000000000000000000000000..0e0fba116704c1de1657a1e31631726bca172283
--- /dev/null
+++ b/utils/facade/windows/win_bartlett.m
@@ -0,0 +1,37 @@
+% WIN_BARTLETT returns Bartlett window, with N points.
+% If mode == 'define', the window values will be empty and all the features
+% If mode == 'build', the window values will be calculated
+%
+
+function varargout = win_bartlett(w, mode, N)
+
+ switch lower(mode)
+
+ case 'build'
+ n_args = nargin;
+ if n_args < 3
+ N = w.len;
+ end
+ % Calculate the values of the window
+ z = [0:N-1]./N;
+ v = z * 2;
+ idx = find(v > 1);
+ v(idx) = 2 - v(idx);
+ varargout{1} = v;
+
+ case 'define'
+ % Make window struct
+ w.type = 'Bartlett';
+ w.alpha = 0;
+ w.psll = 26.5;
+ w.rov = 50;
+ w.nenbw = 1.3333;
+ w.w3db = 1.2736;
+ w.flatness = -1.8242;
+ w.len = N;
+ w.skip = 0;
+
+ varargout{1} = w;
+ end
+
+ % END
diff --git a/utils/facade/windows/win_bh92.m b/utils/facade/windows/win_bh92.m
new file mode 100644
index 0000000000000000000000000000000000000000..91e8678f8c280040556a75ce85bdc4757d2d1b98
--- /dev/null
+++ b/utils/facade/windows/win_bh92.m
@@ -0,0 +1,34 @@
+% WIN_BH92 returns BH92 window, with N points.
+% If mode == 'define', the window values will be empty and all the features
+% If mode == 'build', the window values will be calculated
+%
+
+function varargout = win_bh92(w, mode, N)
+
+ switch lower(mode)
+
+ case 'build'
+ n_args = nargin;
+ if n_args < 3
+ N = w.len;
+ end
+ % Calculate the values of the window
+ z = [0:N-1]./N * 2 * pi;
+ varargout{1} = 0.35875 - 0.48829 * cos (z) + 0.14128 * cos (2 * z) - 0.01168 * cos (3 * z);
+
+ case 'define'
+ % Make window struct
+ w.type = 'BH92';
+ w.alpha = 0;
+ w.psll = 92;
+ w.rov = 66.1;
+ w.nenbw = 2.0044;
+ w.w3db = 1.8962;
+ w.flatness = -0.8256;
+ w.len = N;
+ w.skip = 4;
+
+ varargout{1} = w;
+ end
+
+ % END
diff --git a/utils/facade/windows/win_fthp.m b/utils/facade/windows/win_fthp.m
new file mode 100644
index 0000000000000000000000000000000000000000..807ff40a76e2847acd3863fcc670bae50f099338
--- /dev/null
+++ b/utils/facade/windows/win_fthp.m
@@ -0,0 +1,36 @@
+% WIN_FTHP returns FTHP window, with N points.
+% If mode == 'define', the window values will be empty and all the features
+% If mode == 'build', the window values will be calculated
+%
+
+function varargout = win_fthp(w, mode, N)
+
+ switch lower(mode)
+
+ case 'build'
+ n_args = nargin;
+ if n_args < 3
+ N = w.len;
+ end
+ % Calculate the values of the window
+ z = [0:N-1]./N * 2 * pi;
+ varargout{1} = (1 + 1.912510941 * cos (z) + ...
+ 1.079173272 * cos (2 * z) + ...
+ 0.1832630879 * cos (3 * z));
+
+ case 'define'
+ % Make window struct
+ w.type = 'FTHP';
+ w.alpha = 0;
+ w.psll = 70.4;
+ w.rov = 72.3;
+ w.nenbw = 3.4279;
+ w.w3db = 3.3846;
+ w.flatness = 0.0096;
+ w.len = N;
+ w.skip = 0;
+
+ varargout{1} = w;
+ end
+
+ % END
diff --git a/utils/facade/windows/win_ftni.m b/utils/facade/windows/win_ftni.m
new file mode 100644
index 0000000000000000000000000000000000000000..2e425c9f203d26324428293b0a564ef6639c90df
--- /dev/null
+++ b/utils/facade/windows/win_ftni.m
@@ -0,0 +1,34 @@
+% WIN_FTNI returns FTNI window, with N points.
+% If mode == 'define', the window values will be empty and all the features
+% If mode == 'build', the window values will be calculated
+%
+
+function varargout = win_ftni(w, mode, N)
+
+ switch lower(mode)
+
+ case 'build'
+ n_args = nargin;
+ if n_args < 3
+ N = w.len;
+ end
+ % Calculate the values of the window
+ z = [0:N-1]./N * 2 * pi;
+ varargout{1} = 0.2810639 - 0.5208972 * cos (z) + 0.1980399 * cos (2 * z);
+
+ case 'define'
+ % Make window struct
+ w.type = 'FTNI';
+ w.alpha = 0;
+ w.psll = 44.4;
+ w.rov = 65.6;
+ w.nenbw = 2.9656;
+ w.w3db = 2.9355;
+ w.flatness = 0.0169;
+ w.len = N;
+ w.skip = 0;
+
+ varargout{1} = w;
+ end
+
+ % END
diff --git a/utils/facade/windows/win_ftsrs.m b/utils/facade/windows/win_ftsrs.m
new file mode 100644
index 0000000000000000000000000000000000000000..46caca5f9f3f04ff58eecceeff21238891015667
--- /dev/null
+++ b/utils/facade/windows/win_ftsrs.m
@@ -0,0 +1,35 @@
+% WIN_FTSRS returns FTSRS window, with N points.
+% If mode == 'define', the window values will be empty and all the features
+% If mode == 'build', the window values will be calculated
+%
+
+function varargout = win_ftsrs(w, mode, N)
+
+ switch lower(mode)
+
+ case 'build'
+ n_args = nargin;
+ if n_args < 3
+ N = w.len;
+ end
+ % Calculate the values of the window
+ z = [0:N-1]./N * 2 * pi;
+ varargout{1} = (1.0 - 1.93 * cos (z) + ...
+ 1.29 * cos (2 * z) - 0.388 * cos (3 * z) + 0.028 * cos (4 * z));
+
+ case 'define'
+ % Make window struct
+ w.type = 'FTSRS';
+ w.alpha = 0;
+ w.psll = 76.6;
+ w.rov = 75.4;
+ w.nenbw = 3.7702;
+ w.w3db = 3.7274;
+ w.flatness = -0.0156;
+ w.len = N;
+ w.skip = 0;
+
+ varargout{1} = w;
+ end
+
+ % END
diff --git a/utils/facade/windows/win_hamming.m b/utils/facade/windows/win_hamming.m
new file mode 100644
index 0000000000000000000000000000000000000000..7546e7cdb2799aa61dc98643d1d2e334a95d76e8
--- /dev/null
+++ b/utils/facade/windows/win_hamming.m
@@ -0,0 +1,35 @@
+% WIN_HAMMING returns Hamming window, with N points.
+% If mode == 'define', the window values will be empty and all the features
+% If mode == 'build', the window values will be calculated
+%
+
+function varargout = win_hamming(w, mode, N)
+
+ switch lower(mode)
+
+ case 'build'
+ n_args = nargin;
+ if n_args < 3
+ N = w.len;
+ end
+ % Calculate the values of the window
+ z = [0:N-1]./N * 2 * pi;
+ varargout{1} = 0.54 - 0.46 * cos(z);
+
+ case 'define'
+ % Make window struct
+ w.type = 'Hamming';
+ w.alpha = 0;
+ w.psll = 42.7;
+ w.rov = 50;
+ w.nenbw = 1.3628;
+ w.w3db = 1.3008;
+ w.flatness = -1.7514;
+ w.len = N;
+ w.skip = 0;
+
+ varargout{1} = w;
+ end
+
+ % END
+
diff --git a/utils/facade/windows/win_hanning.m b/utils/facade/windows/win_hanning.m
new file mode 100644
index 0000000000000000000000000000000000000000..403d498b38ba149eb0ce83d5a0eb77599f322953
--- /dev/null
+++ b/utils/facade/windows/win_hanning.m
@@ -0,0 +1,34 @@
+% WIN_HANNING returns Hanning window, with N points.
+% If mode == 'define', the window values will be empty and all the features
+% If mode == 'build', the window values will be calculated
+%
+
+function varargout = win_hanning(w, mode, N)
+
+ switch lower(mode)
+
+ case 'build'
+ n_args = nargin;
+ if n_args < 3
+ N = w.len;
+ end
+ % Calculate the values of the window
+ z = [0:N-1]./N * 2 * pi;
+ varargout{1} = 0.5 * (1 - cos(z));
+
+ case 'define'
+ % Make window struct
+ w.type = 'Hanning';
+ w.alpha = 0;
+ w.psll = 31.5;
+ w.rov = 50;
+ w.nenbw = 1.5;
+ w.w3db = 1.4382;
+ w.flatness = -1.4236;
+ w.len = N;
+ w.skip = 0;
+
+ varargout{1} = w;
+ end
+
+ % END
diff --git a/utils/facade/windows/win_hft116d.m b/utils/facade/windows/win_hft116d.m
new file mode 100644
index 0000000000000000000000000000000000000000..af60fa57d8c1511fdeee6e0e1df3207e6b4380c7
--- /dev/null
+++ b/utils/facade/windows/win_hft116d.m
@@ -0,0 +1,36 @@
+% WIN_HFT116D returns HFT116D window, with N points.
+% If mode == 'define', the window values will be empty and all the features
+% If mode == 'build', the window values will be calculated
+%
+
+function varargout = win_hft116d(w, mode, N)
+
+ switch lower(mode)
+
+ case 'build'
+ n_args = nargin;
+ if n_args < 3
+ N = w.len;
+ end
+ % Calculate the values of the window
+ z = [0:N-1]./N * 2 * pi;
+ varargout{1} = (1 - 1.9575375 * cos (z) + ...
+ 1.4780705 * cos (2 * z) - 0.6367431 * cos (3 * z) + ...
+ 0.1228389 * cos (4 * z) - 0.0066288 * cos (5 * z));
+
+ case 'define'
+ % Make window struct
+ w.type = 'HFT116D';
+ w.alpha = 0;
+ w.psll = 116.8;
+ w.rov = 78.2;
+ w.nenbw = 4.2186;
+ w.w3db = 4.1579;
+ w.flatness = -0.0028;
+ w.len = N;
+ w.skip = 0;
+
+ varargout{1} = w;
+ end
+
+ % END
diff --git a/utils/facade/windows/win_hft144d.m b/utils/facade/windows/win_hft144d.m
new file mode 100644
index 0000000000000000000000000000000000000000..0267fc64c3cd3e5f70323927166d44892cf2bafc
--- /dev/null
+++ b/utils/facade/windows/win_hft144d.m
@@ -0,0 +1,37 @@
+% WIN_HFT144D returns HFT144D window, with N points.
+% If mode == 'define', the window values will be empty and all the features
+% If mode == 'build', the window values will be calculated
+%
+
+function varargout = win_hft144d(w, mode, N)
+
+ switch lower(mode)
+
+ case 'build'
+ n_args = nargin;
+ if n_args < 3
+ N = w.len;
+ end
+ % Calculate the values of the window
+ z = [0:N-1]./N * 2 * pi;
+ varargout{1} = (1 - 1.96760033 * cos (z) ...
+ + 1.57983607 * cos (2 * z) - 0.81123644 * cos (3 * z) + ...
+ 0.22583558 * cos (4 * z) - 0.02773848 * cos (5 * z) + ...
+ 0.00090360 * cos (6 * z));
+
+ case 'define'
+ % Make window struct
+ w.type = 'HFT144D';
+ w.alpha = 0;
+ w.psll = 144.1;
+ w.rov = 79.9;
+ w.nenbw = 4.5386;
+ w.w3db = 4.4697;
+ w.flatness = 0.0021;
+ w.len = N;
+ w.skip = 0;
+
+ varargout{1} = w;
+ end
+
+ % END
diff --git a/utils/facade/windows/win_hft169d.m b/utils/facade/windows/win_hft169d.m
new file mode 100644
index 0000000000000000000000000000000000000000..03c9fedf123d753657ef5dcd68dd5ca38fa40d20
--- /dev/null
+++ b/utils/facade/windows/win_hft169d.m
@@ -0,0 +1,37 @@
+% WIN_HFT169D returns HFT169D window, with N points.
+% If mode == 'define', the window values will be empty and all the features
+% If mode == 'build', the window values will be calculated
+%
+
+function varargout = win_hft169d(w, mode, N)
+
+ switch lower(mode)
+
+ case 'build'
+ n_args = nargin;
+ if n_args < 3
+ N = w.len;
+ end
+ % Calculate the values of the window
+ z = [0:N-1]./N * 2 * pi;
+ varargout{1} = (1 - 1.97441843 * cos (z) ...
+ + 1.65409889 * cos (2 * z) - 0.95788187 * cos (3 * z) + ...
+ 0.33673420 * cos (4 * z) - 0.06364622 * cos (5 * z) + ...
+ 0.00521942 * cos (6 * z) - 0.00010599 * cos (7 * z));
+
+ case 'define'
+ % Make window struct
+ w.type = 'HFT169D';
+ w.alpha = 0;
+ w.psll = 169.5;
+ w.rov = 81.2;
+ w.nenbw = 4.8347;
+ w.w3db = 4.7588;
+ w.flatness = 0.0017;
+ w.len = N;
+ w.skip = 0;
+
+ varargout{1} = w;
+ end
+
+ % END
diff --git a/utils/facade/windows/win_hft196d.m b/utils/facade/windows/win_hft196d.m
new file mode 100644
index 0000000000000000000000000000000000000000..cb0988537d1ea36cfc463e7e539a5b54c6e2be82
--- /dev/null
+++ b/utils/facade/windows/win_hft196d.m
@@ -0,0 +1,38 @@
+% WIN_HFT196D returns HFT196D window, with N points.
+% If mode == 'define', the window values will be empty and all the features
+% If mode == 'build', the window values will be calculated
+%
+
+function varargout = win_hft196d(w, mode, N)
+
+ switch lower(mode)
+
+ case 'build'
+ n_args = nargin;
+ if n_args < 3
+ N = w.len;
+ end
+ % Calculate the values of the window
+ z = [0:N-1]./N * 2 * pi;
+ varargout{1} = (1 - 1.979280420 * cos (z) + ...
+ 1.710288951 * cos (2 * z) - 1.081629853 * cos (3 * z) + ...
+ 0.448734314 * cos (4 * z) - 0.112376628 * cos (5 * z) + ...
+ 0.015122992 * cos (6 * z) - 0.000871252 * cos (7 * z) + ...
+ 0.000011896 * cos (8 * z));
+
+ case 'define'
+ % Make window struct
+ w.type = 'HFT196D';
+ w.alpha = 0;
+ w.psll = 196.2;
+ w.rov = 82.3;
+ w.nenbw = 5.1134;
+ w.w3db = 5.0308;
+ w.flatness = 0.0013;
+ w.len = N;
+ w.skip = 0;
+
+ varargout{1} = w;
+ end
+
+ % END
diff --git a/utils/facade/windows/win_hft223d.m b/utils/facade/windows/win_hft223d.m
new file mode 100644
index 0000000000000000000000000000000000000000..2dc054a707636dc1eec18403b9c1a1ec1e042ec8
--- /dev/null
+++ b/utils/facade/windows/win_hft223d.m
@@ -0,0 +1,37 @@
+% WIN_HFT223D returns HFT223D window, with N points.
+% If mode == 'define', the window values will be empty and all the features
+% If mode == 'build', the window values will be calculated
+%
+
+function varargout = win_hft223d(w, mode, N)
+
+ switch lower(mode)
+
+ case 'build'
+ n_args = nargin;
+ if n_args < 3
+ N = w.len;
+ end
+ % Calculate the values of the window
+ z = [0:N-1]./N * 2 * pi;
+ varargout{1} = (1 - 1.98298997309 * cos(z) + ...
+ 1.75556083063 * cos (2 * z) - 1.19037717712 * cos (3 * z) + ...
+ 0.56155440797 * cos (4 * z) - 0.17296769663 * cos (5 * z) + ...
+ 0.03233247087 * cos (6 * z) - 0.00324954578 * cos (7 * z) + ...
+ 0.00013801040 * cos (8 * z) - 0.00000132725 * cos (9 * z));
+ case 'define'
+ % Make window struct
+ w.type = 'HFT223D';
+ w.alpha = 0;
+ w.psll = 223;
+ w.rov = 83.3;
+ w.nenbw = 5.3888;
+ w.w3db = 5.3;
+ w.flatness = -0.0011;
+ w.len = N;
+ w.skip = 0;
+
+ varargout{1} = w;
+ end
+
+ % END
diff --git a/utils/facade/windows/win_hft248d.m b/utils/facade/windows/win_hft248d.m
new file mode 100644
index 0000000000000000000000000000000000000000..5138fe071732f28e02b322d7d7fcd94b511ee0d9
--- /dev/null
+++ b/utils/facade/windows/win_hft248d.m
@@ -0,0 +1,39 @@
+% WIN_HFT248D returns HFT248D window, with N points.
+% If mode == 'define', the window values will be empty and all the features
+% If mode == 'build', the window values will be calculated
+%
+
+function varargout = win_hft248d(w, mode, N)
+
+ switch lower(mode)
+
+ case 'build'
+ n_args = nargin;
+ if n_args < 3
+ N = w.len;
+ end
+ % Calculate the values of the window
+ z = [0:N-1]./N * 2 * pi;
+ varargout{1} = (1 - 1.985844164102 * cos(z) + ...
+ 1.791176438506 * cos (2 * z) - 1.282075284005 * cos (3 * z) + ...
+ 0.667777530266 * cos (4 * z) - 0.240160796576 * cos (5 * z) + ...
+ 0.056656381764 * cos (6 * z) - 0.008134974479 * cos (7 * z) + ...
+ 0.000624544650 * cos (8 * z) - 0.000019808998 * cos (9 * z) + ...
+ 0.000000132974 * cos (10 * z));
+
+ case 'define'
+ % Make window struct
+ w.type = 'HFT248D';
+ w.alpha = 0;
+ w.psll = 248.4;
+ w.rov = 84.1;
+ w.nenbw = 5.6512;
+ w.w3db = 5.5567;
+ w.flatness = 0.0009;
+ w.len = N;
+ w.skip = 0;
+
+ varargout{1} = w;
+ end
+
+ % END
diff --git a/utils/facade/windows/win_hft70.m b/utils/facade/windows/win_hft70.m
new file mode 100644
index 0000000000000000000000000000000000000000..d1fc401a63e93ee055f8679eeec75b4f81ac8e8d
--- /dev/null
+++ b/utils/facade/windows/win_hft70.m
@@ -0,0 +1,35 @@
+% WIN_HFT70 returns HFT70 window, with N points.
+% If mode == 'define', the window values will be empty and all the features
+% If mode == 'build', the window values will be calculated
+%
+
+function varargout = win_hft70(w, mode, N)
+
+ switch lower(mode)
+
+ case 'build'
+ n_args = nargin;
+ if n_args < 3
+ N = w.len;
+ end
+ % Calculate the values of the window
+ z = [0:N-1]./N * 2 * pi;
+ varargout{1} = (1 - 1.90796 * cos (z) + ...
+ 1.07349 * cos (2 * z) - 0.18199 * cos (3 * z));
+
+ case 'define'
+ % Make window struct
+ w.type = 'HFT70';
+ w.alpha = 0;
+ w.psll = 70.4;
+ w.rov = 72.2;
+ w.nenbw = 3.4129;
+ w.w3db = 3.3720;
+ w.flatness = -0.0065;
+ w.len = N;
+ w.skip = 0;
+
+ varargout{1} = w;
+ end
+
+ % END
diff --git a/utils/facade/windows/win_hft90d.m b/utils/facade/windows/win_hft90d.m
new file mode 100644
index 0000000000000000000000000000000000000000..302b296ea6adc609952649b02851661c089b0987
--- /dev/null
+++ b/utils/facade/windows/win_hft90d.m
@@ -0,0 +1,36 @@
+% WIN_HFT90D returns HFT90D window, with N points.
+% If mode == 'define', the window values will be empty and all the features
+% If mode == 'build', the window values will be calculated
+%
+
+function varargout = win_hft90d(w, mode, N)
+
+ switch lower(mode)
+
+ case 'build'
+ n_args = nargin;
+ if n_args < 3
+ N = w.len;
+ end
+ % Calculate the values of the window
+ z = [0:N-1]./N * 2 * pi;
+ varargout{1} = (1 - 1.942604 * cos (z) + ...
+ 1.340318 * cos (2 * z) - 0.440811 * cos (3 * z) + ...
+ 0.043097 * cos (4 * z));
+
+ case 'define'
+ % Make window struct
+ w.type = 'HFT90D';
+ w.alpha = 0;
+ w.psll = 90.2;
+ w.rov = 76;
+ w.nenbw = 3.8832;
+ w.w3db = 3.8320;
+ w.flatness = -0.0039;
+ w.len = N;
+ w.skip = 0;
+
+ varargout{1} = w;
+ end
+
+ % END
diff --git a/utils/facade/windows/win_hft95.m b/utils/facade/windows/win_hft95.m
new file mode 100644
index 0000000000000000000000000000000000000000..ac564399978f739cd3e18c75041c02d58b0f9ee7
--- /dev/null
+++ b/utils/facade/windows/win_hft95.m
@@ -0,0 +1,36 @@
+% WIN_HFT95 returns HFT95 window, with N points.
+% If mode == 'define', the window values will be empty and all the features
+% If mode == 'build', the window values will be calculated
+%
+
+function varargout = win_hft95(w, mode, N)
+
+ switch lower(mode)
+
+ case 'build'
+ n_args = nargin;
+ if n_args < 3
+ N = w.len;
+ end
+ % Calculate the values of the window
+ z = [0:N-1]./N * 2 * pi;
+ varargout{1} = (1 - 1.9383379 * cos (z) + ...
+ 1.3045202 * cos (2 * z) - 0.4028270 * cos (3 * z) + ...
+ 0.0350665 * cos (4 * z));
+
+ case 'define'
+ % Make window struct
+ w.type = 'HFT95';
+ w.alpha = 0;
+ w.psll = 95;
+ w.rov = 75.6;
+ w.nenbw = 3.8112;
+ w.w3db = 3.759;
+ w.flatness = 0.0044;
+ w.len = N;
+ w.skip = 0;
+
+ varargout{1} = w;
+ end
+
+ % END
diff --git a/utils/facade/windows/win_kaiser.m b/utils/facade/windows/win_kaiser.m
new file mode 100644
index 0000000000000000000000000000000000000000..60bfde1eeaf30317f63f0526c19c866e9a7c2b77
--- /dev/null
+++ b/utils/facade/windows/win_kaiser.m
@@ -0,0 +1,34 @@
+% WIN_KAISER returns Kaiser window, with N points and psll peak sidelobe level.
+% If mode == 'define', the window values will be empty and all the features
+% If mode == 'build', the window values will be calculated
+%
+
+function varargout = win_kaiser(w, mode, N, psll)
+
+ switch lower(mode)
+
+ case 'build'
+ n_args = nargin;
+ if n_args < 3
+ N = w.len;
+ end
+
+ % Compute window samples
+ % - here we adjust to make the window asymmetric
+ v = kaiser(N+1, pi*w.alpha)';
+ varargout{1} = v(1:end-1);
+
+ case 'define'
+ % Make window struct
+ w.type = 'Kaiser';
+ w.alpha = specwin.kaiser_alpha(psll);
+ w.psll = psll;
+ w.rov = specwin.kaiser_rov(w.alpha);
+ w.nenbw = specwin.kaiser_nenbw(w.alpha);
+ w.w3db = specwin.kaiser_w3db(w.alpha);
+ w.flatness = specwin.kaiser_flatness(w.alpha);
+ w.len = N;
+ w.skip = 0;
+
+ varargout{1} = w;
+ end
diff --git a/utils/facade/windows/win_levelledhanning.m b/utils/facade/windows/win_levelledhanning.m
new file mode 100644
index 0000000000000000000000000000000000000000..b435da8178381e2a9849d67c4767c68135b26b4d
--- /dev/null
+++ b/utils/facade/windows/win_levelledhanning.m
@@ -0,0 +1,37 @@
+% WIN_LEVELLEDHANNING returns Hanning window, with N points and levelCoef levelling order
+% If mode == 'define', the window values will be empty and all the features
+% If mode == 'build', the window values will be calculated
+%
+
+function varargout = win_levelledhanning(w, mode, N, levelCoef)
+
+ switch lower(mode)
+
+ case 'build'
+ n_args = nargin;
+ if n_args < 3
+ N = w.len;
+ end
+ if n_args < 4
+ levelCoef = w.levelorder;
+ end
+ % Calculate the values of the window
+ z = (1:N)./(N+1);
+ v = 0.5 * (1 - cos(2*pi*z));
+
+ for jj = 1:levelCoef
+ v = v.*(2-v);
+ end
+ varargout{1} = v/norm(v)*length(v)^0.5;
+
+ case 'define'
+ % Make window struct
+ w.type = 'levelledHanning';
+ w.len = N;
+ w.levelorder = levelCoef;
+ w.skip = 0;
+
+ varargout{1} = w;
+ end
+
+ % END
diff --git a/utils/facade/windows/win_nuttall3.m b/utils/facade/windows/win_nuttall3.m
new file mode 100644
index 0000000000000000000000000000000000000000..166c4bdc0fcb9e2703a7dc12aec6eb5baa6e6fce
--- /dev/null
+++ b/utils/facade/windows/win_nuttall3.m
@@ -0,0 +1,35 @@
+% WIN_NUTTALL3 returns Nuttall3 window, with N points.
+% If mode == 'define', the window values will be empty and all the features
+% If mode == 'build', the window values will be calculated
+%
+
+function varargout = win_nuttall3(w, mode, N)
+
+ switch lower(mode)
+
+ case 'build'
+ n_args = nargin;
+ if n_args < 3
+ N = w.len;
+ end
+ % Calculate the values of the window
+ z = [0:N-1]./N * 2 * pi;
+ varargout{1} = 0.375 - 0.5 * cos (z) + 0.125 * cos (2 * z);
+
+ case 'define'
+ % Make window struct
+ w.type = 'Nuttall3';
+ w.alpha = 0;
+ w.psll = 46.7;
+ w.rov = 64.7;
+ w.nenbw = 1.9444;
+ w.w3db = 1.8496;
+ w.flatness = -0.8630;
+ w.len = N;
+ w.skip = 0;
+
+ varargout{1} = w;
+ end
+
+ % END
+
diff --git a/utils/facade/windows/win_nuttall3a.m b/utils/facade/windows/win_nuttall3a.m
new file mode 100644
index 0000000000000000000000000000000000000000..dea2941e7bedea8370d5da9432664d45f5707f82
--- /dev/null
+++ b/utils/facade/windows/win_nuttall3a.m
@@ -0,0 +1,35 @@
+% WIN_NUTTALL3A returns Nuttall3a window, with N points.
+% If mode == 'define', the window values will be empty and all the features
+% If mode == 'build', the window values will be calculated
+%
+
+function varargout = win_nuttall3a(w, mode, N)
+
+ switch lower(mode)
+
+ case 'build'
+ n_args = nargin;
+ if n_args < 3
+ N = w.len;
+ end
+ % Calculate the values of the window
+ z = [0:N-1]./N * 2 * pi;
+ varargout{1} = 0.40897 - 0.5 * cos (z) + 0.09103 * cos (2 * z);
+
+ case 'define'
+ % Make window struct
+ w.type = 'Nuttall3a';
+ w.alpha = 0;
+ w.psll = 64.2;
+ w.rov = 61.2;
+ w.nenbw = 1.7721;
+ w.w3db = 1.6828;
+ w.flatness = -1.0453;
+ w.len = N;
+ w.skip = 0;
+
+ varargout{1} = w;
+ end
+
+ % END
+
\ No newline at end of file
diff --git a/utils/facade/windows/win_nuttall3b.m b/utils/facade/windows/win_nuttall3b.m
new file mode 100644
index 0000000000000000000000000000000000000000..82e4518affe0e70fed33961e5612598d60bdafc0
--- /dev/null
+++ b/utils/facade/windows/win_nuttall3b.m
@@ -0,0 +1,35 @@
+% WIN_NUTTALL3B returns Nuttall3b window, with N points.
+% If mode == 'define', the window values will be empty and all the features
+% If mode == 'build', the window values will be calculated
+%
+
+function varargout = win_nuttall3b(w, mode, N)
+
+ switch lower(mode)
+
+ case 'build'
+ n_args = nargin;
+ if n_args < 3
+ N = w.len;
+ end
+ % Calculate the values of the window
+ z = [0:N-1]./N * 2 * pi;
+ varargout{1} = 0.4243801 - 0.4973406 * cos (z) + 0.0782793 * cos (2 * z);
+
+ case 'define'
+ % Make window struct
+ w.type = 'Nuttall3b';
+ w.alpha = 0;
+ w.psll = 71.5;
+ w.rov = 59.8;
+ w.nenbw = 1.7037;
+ w.w3db = 1.6162;
+ w.flatness = -1.1352;
+ w.len = N;
+ w.skip = 0;
+
+ varargout{1} = w;
+ end
+
+ % END
+
\ No newline at end of file
diff --git a/utils/facade/windows/win_nuttall4.m b/utils/facade/windows/win_nuttall4.m
new file mode 100644
index 0000000000000000000000000000000000000000..c9ca0cfa07b464192c1969493a1d85c9380432c0
--- /dev/null
+++ b/utils/facade/windows/win_nuttall4.m
@@ -0,0 +1,35 @@
+% WIN_NUTTALL4 returns Nuttall4 window, with N points.
+% If mode == 'define', the window values will be empty and all the features
+% If mode == 'build', the window values will be calculated
+%
+
+function varargout = win_nuttall4(w, mode, N)
+
+ switch lower(mode)
+
+ case 'build'
+ n_args = nargin;
+ if n_args < 3
+ N = w.len;
+ end
+ % Calculate the values of the window
+ z = [0:N-1]./N * 2 * pi;
+ varargout{1} = 0.3125 - 0.46875 * cos(z) + 0.1875 * cos (2 * z) - 0.03125 * cos (3 * z);
+
+ case 'define'
+ % Make window struct
+ w.type = 'Nuttall4';
+ w.alpha = 0;
+ w.psll = 60.9;
+ w.rov = 70.5;
+ w.nenbw = 2.31;
+ w.w3db = 2.1884;
+ w.flatness = -0.6184;
+ w.len = N;
+ w.skip = 0;
+
+ varargout{1} = w;
+ end
+
+ % END
+
\ No newline at end of file
diff --git a/utils/facade/windows/win_nuttall4a.m b/utils/facade/windows/win_nuttall4a.m
new file mode 100644
index 0000000000000000000000000000000000000000..956feb31112f43d767af5134b63cc83fae2c9f63
--- /dev/null
+++ b/utils/facade/windows/win_nuttall4a.m
@@ -0,0 +1,34 @@
+% WIN_NUTTALL4A returns Nuttall4a window, with N points.
+% If mode == 'define', the window values will be empty and all the features
+% If mode == 'build', the window values will be calculated
+%
+
+function varargout = win_nuttall4a(w, mode, N)
+
+ switch lower(mode)
+
+ case 'build'
+ n_args = nargin;
+ if n_args < 3
+ N = w.len;
+ end
+ % Calculate the values of the window
+ z = [0:N-1]./N * 2 * pi;
+ varargout{1} = 0.338946 - 0.481973 * cos (z) + 0.161054 * cos (2 * z) - 0.018027 * cos (3 * z);
+
+ case 'define'
+ % Make window struct
+ w.type = 'Nuttall4a';
+ w.alpha = 0;
+ w.psll = 82.6;
+ w.rov = 68;
+ w.nenbw = 2.1253;
+ w.w3db = 2.0123;
+ w.flatness = -0.7321;
+ w.len = N;
+ w.skip = 0;
+
+ varargout{1} = w;
+ end
+
+ % END
diff --git a/utils/facade/windows/win_nuttall4b.m b/utils/facade/windows/win_nuttall4b.m
new file mode 100644
index 0000000000000000000000000000000000000000..43cf171c26f498624d6a879e32dbc2d3ac9bbc87
--- /dev/null
+++ b/utils/facade/windows/win_nuttall4b.m
@@ -0,0 +1,34 @@
+% WIN_NUTTALL4B returns Nuttall4b window, with N points.
+% If mode == 'define', the window values will be empty and all the features
+% If mode == 'build', the window values will be calculated
+%
+
+function varargout = win_nuttall4b(w, mode, N)
+
+ switch lower(mode)
+
+ case 'build'
+ n_args = nargin;
+ if n_args < 3
+ N = w.len;
+ end
+ % Calculate the values of the window
+ z = [0:N-1]./N * 2 * pi;
+ varargout{1} = 0.355768 - 0.487396 * cos (z) + 0.144232 * cos (2 * z) - 0.012604 * cos (3 * z);
+
+ case 'define'
+ % Make window struct
+ w.type = 'Nuttall4b';
+ w.alpha = 0;
+ w.psll = 93.3;
+ w.rov = 66.3;
+ w.nenbw = 2.0212;
+ w.w3db = 1.9122;
+ w.flatness = -0.8118;
+ w.len = N;
+ w.skip = 0;
+
+ varargout{1} = w;
+ end
+
+ % END
diff --git a/utils/facade/windows/win_nuttall4c.m b/utils/facade/windows/win_nuttall4c.m
new file mode 100644
index 0000000000000000000000000000000000000000..135b4699a0bcb188ecc16d0cbf532dbc159b45e1
--- /dev/null
+++ b/utils/facade/windows/win_nuttall4c.m
@@ -0,0 +1,34 @@
+% WIN_NUTTALL4C returns Nuttall4c window, with N points.
+% If mode == 'define', the window values will be empty and all the features
+% If mode == 'build', the window values will be calculated
+%
+
+function varargout = win_nuttall4c(w, mode, N)
+
+ switch lower(mode)
+
+ case 'build'
+ n_args = nargin;
+ if n_args < 3
+ N = w.len;
+ end
+ % Calculate the values of the window
+ z = [0:N-1]./N * 2 * pi;
+ varargout{1} = 0.3635819 - 0.4891775 * cos (z) + 0.1365995 * cos (2 * z) - 0.0106411 * cos (3 * z);
+
+ case 'define'
+ % Make window struct
+ w.type = 'Nuttall4c';
+ w.alpha = 0;
+ w.psll = 98.1;
+ w.rov = 65.6;
+ w.nenbw = 1.9761;
+ w.w3db = 1.8687;
+ w.flatness = -0.8506;
+ w.len = N;
+ w.skip = 0;
+
+ varargout{1} = w;
+ end
+
+ % END
diff --git a/utils/facade/windows/win_rectangular.m b/utils/facade/windows/win_rectangular.m
new file mode 100644
index 0000000000000000000000000000000000000000..65169281a3c8a6b42c3b431b5bdf13f65243421e
--- /dev/null
+++ b/utils/facade/windows/win_rectangular.m
@@ -0,0 +1,34 @@
+% WIN_RECTANGULAR returns rectangular window, with N points.
+% If mode == 'define', the window values will be empty and all the features
+% If mode == 'build', the window values will be calculated
+%
+
+function varargout = win_rectangular(w, mode, N)
+
+ switch lower(mode)
+
+ case 'build'
+ n_args = nargin;
+ if n_args < 3
+ N = w.len;
+ end
+ % Calculate the values of the window
+
+ varargout{1} = ones(1, N);
+
+ case 'define'
+ % Make window struct
+ w.type = 'Rectangular';
+ w.alpha = 0;
+ w.psll = 13.3;
+ w.rov = 0.0;
+ w.nenbw = 1.0;
+ w.w3db = 0.8845;
+ w.flatness = -3.9224;
+ w.len = N;
+ w.skip = 0;
+
+ varargout{1} = w;
+ end
+
+ % END
diff --git a/utils/facade/windows/win_sft3f.m b/utils/facade/windows/win_sft3f.m
new file mode 100644
index 0000000000000000000000000000000000000000..66f07ddcb45f28c4627dddf4d71c682fd68e1bc8
--- /dev/null
+++ b/utils/facade/windows/win_sft3f.m
@@ -0,0 +1,34 @@
+% WIN_SFT3F returns SFT3F window, with N points.
+% If mode == 'define', the window values will be empty and all the features
+% If mode == 'build', the window values will be calculated
+%
+
+function varargout = win_sft3f(w, mode, N)
+
+ switch lower(mode)
+
+ case 'build'
+ n_args = nargin;
+ if n_args < 3
+ N = w.len;
+ end
+ % Calculate the values of the window
+ z = [0:N-1]./N * 2 * pi;
+ varargout{1} = 0.26526 - 0.5 * cos (z) + 0.23474 * cos (2 * z);
+
+ case 'define'
+ % Make window struct
+ w.type = 'SFT3F';
+ w.alpha = 0;
+ w.psll = 31.7;
+ w.rov = 66.7;
+ w.nenbw = 3.1681;
+ w.w3db = 3.1502;
+ w.flatness = 0.0082;
+ w.len = N;
+ w.skip = 0;
+
+ varargout{1} = w;
+ end
+
+ % END
diff --git a/utils/facade/windows/win_sft3m.m b/utils/facade/windows/win_sft3m.m
new file mode 100644
index 0000000000000000000000000000000000000000..8b3d2e3a40640da06417824d8aec23779abc56b5
--- /dev/null
+++ b/utils/facade/windows/win_sft3m.m
@@ -0,0 +1,33 @@
+% WIN_SFT3M returns SFT3M window, with N points.
+% If mode == 'define', the window values will be empty and all the features
+% If mode == 'build', the window values will be calculate%
+
+function varargout = win_sft3m(w, mode, N)
+
+ switch lower(mode)
+
+ case 'build'
+ n_args = nargin;
+ if n_args < 3
+ N = w.len;
+ end
+ % Calculate the values of the window
+ z = [0:N-1]./N * 2 * pi;
+ varargout{1} = 0.28235 - 0.52105 * cos (z) + 0.19659 * cos (2 * z);
+
+ case 'define'
+ % Make window struct
+ w.type = 'SFT3M';
+ w.alpha = 0;
+ w.psll = 44.2;
+ w.rov = 65.5;
+ w.nenbw = 2.9452;
+ w.w3db = 2.9183;
+ w.flatness = -0.0115;
+ w.len = N;
+ w.skip = 0;
+
+ varargout{1} = w;
+ end
+
+ % END
diff --git a/utils/facade/windows/win_sft4f.m b/utils/facade/windows/win_sft4f.m
new file mode 100644
index 0000000000000000000000000000000000000000..da66b6c7392613e87dce8a942d8c3a0ec1956587
--- /dev/null
+++ b/utils/facade/windows/win_sft4f.m
@@ -0,0 +1,34 @@
+% WIN_SFT4F returns SFT4F window, with N points.
+% If mode == 'define', the window values will be empty and all the features
+% If mode == 'build', the window values will be calculated
+%
+
+function varargout = win_sft4f(w, mode, N)
+
+ switch lower(mode)
+
+ case 'build'
+ n_args = nargin;
+ if n_args < 3
+ N = w.len;
+ end
+ % Calculate the values of the window
+ z = [0:N-1]./N * 2 * pi;
+ varargout{1} = 0.21706 - 0.42103 * cos (z) + 0.28294 * cos (2 * z) - 0.07897 * cos (3 * z);
+
+ case 'define'
+ % Make window struct
+ w.type = 'SFT4F';
+ w.alpha = 0;
+ w.psll = 44.7;
+ w.rov = 75;
+ w.nenbw = 3.7970;
+ w.w3db = 3.7618;
+ w.flatness = 0.0041;
+ w.len = N;
+ w.skip = 0;
+
+ varargout{1} = w;
+ end
+
+ % END
diff --git a/utils/facade/windows/win_sft4m.m b/utils/facade/windows/win_sft4m.m
new file mode 100644
index 0000000000000000000000000000000000000000..25fe64d781cd4f033bc00f78137aa0cafbdc3ba9
--- /dev/null
+++ b/utils/facade/windows/win_sft4m.m
@@ -0,0 +1,35 @@
+% WIN_SFT4M returns SFT4M window, with N points.
+% If mode == 'define', the window values will be empty and all the features
+% If mode == 'build', the window values will be calculated
+%
+
+function varargout = win_sft4m(w, mode, N)
+
+ switch lower(mode)
+
+ case 'build'
+ n_args = nargin;
+ if n_args < 3
+ N = w.len;
+ end
+ % Calculate the values of the window
+ z = [0:N-1]./N * 2 * pi;
+ varargout{1} = 0.241906 - 0.460841 * cos(z) ...
+ + 0.255381 * cos (2 * z) - 0.041872 * cos (3 * z);
+
+ case 'define'
+ % Make window struct
+ w.type = 'SFT4M';
+ w.alpha = 0;
+ w.psll = 66.5;
+ w.rov = 72.1;
+ w.nenbw = 3.3868;
+ w.w3db = 3.3451;
+ w.flatness = -0.0067;
+ w.len = N;
+ w.skip = 0;
+
+ varargout{1} = w;
+ end
+
+ % END
diff --git a/utils/facade/windows/win_sft5f.m b/utils/facade/windows/win_sft5f.m
new file mode 100644
index 0000000000000000000000000000000000000000..eff6d234d2bbe47f00a66fa1ed476e61ba0f9076
--- /dev/null
+++ b/utils/facade/windows/win_sft5f.m
@@ -0,0 +1,35 @@
+% WIN_SFT5F returns SFT5F window, with N points.
+% If mode == 'define', the window values will be empty and all the features
+% If mode == 'build', the window values will be calculated
+%
+
+function varargout = win_sft5f(w, mode, N)
+
+ switch lower(mode)
+
+ case 'build'
+ n_args = nargin;
+ if n_args < 3
+ N = w.len;
+ end
+ % Calculate the values of the window
+ z = [0:N-1]./N * 2 * pi;
+ varargout{1} = 0.1881 - 0.36923 * cos (z) + ...
+ 0.28702 * cos (2 * z) - 0.13077 * cos (3 * z) + 0.02488 * cos (4 * z);
+
+ case 'define'
+ % Make window struct
+ w.type = 'SFT5F';
+ w.alpha = 0;
+ w.psll = 57.3;
+ w.rov = 78.5;
+ w.nenbw = 4.3412;
+ w.w3db = 4.2910;
+ w.flatness = -0.0025;
+ w.len = N;
+ w.skip = 0;
+
+ varargout{1} = w;
+ end
+
+ % END
diff --git a/utils/facade/windows/win_sft5m.m b/utils/facade/windows/win_sft5m.m
new file mode 100644
index 0000000000000000000000000000000000000000..1462581b23c467e5255f9482153c0d65beda06ba
--- /dev/null
+++ b/utils/facade/windows/win_sft5m.m
@@ -0,0 +1,36 @@
+% WIN_SFT5M returns SFT5M window, with N points.
+% If mode == 'define', the window values will be empty and all the features
+% If mode == 'build', the window values will be calculated
+%
+
+function varargout = win_sft5m(w, mode, N)
+
+ switch lower(mode)
+
+ case 'build'
+ n_args = nargin;
+ if n_args < 3
+ N = w.len;
+ end
+ % Calculate the values of the window
+ z = [0:N-1]./N * 2 * pi;
+ varargout{1} = 0.209671 - 0.407331 * cos(z) + ...
+ 0.281225 * cos (2 * z) - 0.092669 * cos (3 * z) + ...
+ 0.0091036 * cos (4 * z);
+
+ case 'define'
+ % Make window struct
+ w.type = 'SFT5M';
+ w.alpha = 0;
+ w.psll = 89.9;
+ w.rov = 76;
+ w.nenbw = 3.8852;
+ w.w3db = 3.8340;
+ w.flatness = 0.0039;
+ w.len = N;
+ w.skip = 0;
+
+ varargout{1} = w;
+ end
+
+ % END
diff --git a/utils/facade/windows/win_welch.m b/utils/facade/windows/win_welch.m
new file mode 100644
index 0000000000000000000000000000000000000000..734e018284e0b599c1501d0dc689ad167f63d380
--- /dev/null
+++ b/utils/facade/windows/win_welch.m
@@ -0,0 +1,35 @@
+% WIN_WELCH returns Welch window, with N points.
+% If mode == 'define', the window values will be empty and all the features
+% If mode == 'build', the window values will be calculated
+%
+
+function varargout = win_welch(w, mode, N)
+
+ switch lower(mode)
+
+ case 'build'
+ n_args = nargin;
+ if n_args < 3
+ N = w.len;
+ end
+ % Calculate the values of the window
+ z = [0:N-1]./N;
+ varargout{1} = 1 - (2 * z - 1).^2;
+
+ case 'define'
+ % Make window struct
+ w.type = 'Welch';
+ w.alpha = 0;
+ w.psll = 21.3;
+ w.rov = 29.3;
+ w.nenbw = 1.2;
+ w.w3db = 1.1535;
+ w.flatness = -2.2248;
+ w.len = N;
+ w.skip = 0;
+
+ varargout{1} = w;
+ end
+
+ % END
+
diff --git a/utils/getInvertedTFresponse.m b/utils/getInvertedTFresponse.m
new file mode 100644
index 0000000000000000000000000000000000000000..aacd4fd92899bd7a43d8a4f855d3e9eb0d393b8a
--- /dev/null
+++ b/utils/getInvertedTFresponse.m
@@ -0,0 +1,26 @@
+function invertedTFresponse = getInvertedTFresponse(mdl, io, freqs)
+%GETINVERTEDTFRESPONSE returns the response of the inverted transfer function
+%of the linearized model.
+% Returns the response of the inverted transfer function of the linearized
+% model. First, linearizes the model around the given input and output. Then,
+% it gets the frequency response of the linear TF. Lastly, this is inverted.
+% Syntax: invertedTFresponse = getInvertedTFresponse(mdl, io, freqs)
+%
+% Inputs: mdl - simulink model, string;
+% io - list of IO elements;
+% freqs - array of frequencies to respond to
+%
+% Outputs: invertedTFresponse - array containing the response,
+% same size as the frequencies;
+%
+% See also: frd, linearize, linio
+%
+% Author: Arthur Reis
+% email: arthur.reis@aei.mpg.de
+% Nov 2021; Last revision: 19.Nov.2021;
+linearizedModel = linearize(mdl,io);
+linMdlResponse = frd(linearizedModel, freqs, 'unit', 'Hz');
+invertedTF = abs(squeeze(inv(linMdlResponse)));
+invertedTFresponse = squeeze(invertedTF.ResponseData);
+end
+
diff --git a/utils/getTFresponse.m b/utils/getTFresponse.m
new file mode 100644
index 0000000000000000000000000000000000000000..98b7a4f919bd710d1e486275f1f9a13f7dc829e6
--- /dev/null
+++ b/utils/getTFresponse.m
@@ -0,0 +1,25 @@
+function TFresponse = getTFresponse(mdl, io, freqs)
+%GETTFRESPONSE returns the response of the transfer function
+%of the linearized model.
+% Returns the response of the transfer function of the linearized
+% model. First, linearizes the model around the given input and output. Then,
+% it gets the frequency response of the linear TF.
+% Syntax: TFresponse = getTFresponse(mdl, io, freqs)
+%
+% Inputs: mdl - simulink model, string;
+% io - list of IO elements;
+% freqs - array of frequencies to respond to
+%
+% Outputs: TFresponse - array containing the response,
+% same size as the frequencies;
+%
+% See also: frd, linearize, linio, getInvertedTFresponse
+%
+% Author: Arthur Reis
+% email: arthur.reis@aei.mpg.de
+% Nov 2021; Last revision: 24.Nov.2021;
+linearizedModel = linearize(mdl,io);
+linMdlResponse = frd(linearizedModel, freqs, 'unit', 'Hz');
+TFresponse = squeeze(abs(linMdlResponse.ResponseData));
+end
+
diff --git a/utils/logpsd.m b/utils/logpsd.m
new file mode 100644
index 0000000000000000000000000000000000000000..4af4070008ca49588e70deeac2faf7aefb87dc8b
--- /dev/null
+++ b/utils/logpsd.m
@@ -0,0 +1,270 @@
+function [P,fArr] = logpsd(varargin)
+%% Adapted LTPDA syntax
+% INPUTS (compared with LTPDA):
+% as - array of analysis objects [REMOVED]
+% pl - parameter list [REMOVED]
+% ts - timeseries [ADDED]
+% fs - sample freqs
+% Kdes - desired number of averages (default 100)
+% Lmin - minimum segment length (default 0)
+% Jdes - number of spectral frequencies to compute (default fs/2)
+% win - a specwin window object. [REMOVED]
+% win - a struct. See GETWIN. [ADDED]
+% Olap - desired overlap percentage (default: taken from window)
+% Order - order of detrending
+% -1 - no detrending
+% 0 - subtract mean
+% 1 - subtract linear fit
+% N - subtract fit of polynomial, order N
+% Scale - Scaling of output. Choose from:
+% AS - Amplitude (linear) Spectrum% ASD - Amplitude (linear) Spectral Density
+% PS - Power Spectrum
+% PSD - Power Spectral Density [default]
+%
+% OUTPUTS:
+% [REMOVED] bs - array of analysis objects, one for each input
+% ps - spectral estimate
+%
+
+%% input processing
+% parameters: ts, fs, Kdes, Lmin, Jdes, win, olap, order, scale
+defaultts = [];
+defaultfs = 0;
+defaultKdes = 100;
+defaultLmin = 1;
+defaultJdes = 0;
+defaultwin = '';
+defaultolap = -1;
+defaultorder = 0;
+defaultscale = 'PSD';
+expectedscales = {'AS','PS','ASD','PSD'};
+defaultmode = false;
+
+% parameter parsing, required parms will throw error w/ defaults;
+p = inputParser;
+addParameter(p, 'ts', defaultts, @(x) ~isempty(x));
+addParameter(p, 'fs', defaultfs, @(x) isnumeric(x) && x>0);
+addParameter(p, 'Kdes', defaultKdes, @(x) isnumeric(x) && x>0);
+addParameter(p, 'Lmin', defaultLmin, @(x) isnumeric(x));
+addParameter(p, 'Jdes', defaultJdes, @(x) isnumeric(x));
+addParameter(p, 'win', defaultwin);
+addParameter(p, 'olap', defaultolap);
+addParameter(p, 'order', defaultorder,...
+ @(x) isscalar(x) && (x>=-1));
+addParameter(p, 'scale', defaultscale,...
+ @(x) any(validatestring(x,expectedscales)));
+addParameter(p, 'LTPDAmode', defaultmode);
+
+parse(p, varargin{:});
+
+ts = p.Results.ts;
+fs = p.Results.fs;
+desAvg = p.Results.Kdes;
+Lmin = p.Results.Lmin;
+desFreqs = p.Results.Jdes; %correct default fs/2
+if desFreqs == 0
+ desFreqs = fs/2;
+end
+wintype = p.Results.win;
+if p.Results.olap == -1
+ [~, mw] = getwin(wintype,1);
+ olap = mw.rov/100.0;
+else
+ olap = p.Results.olap/100.0;
+end
+
+order = p.Results.order;
+scale = p.Results.scale;
+ltpdamode = p.Results.LTPDAmode;
+
+%% ------ Set up some variables -------------------------------------------
+ entireData = ts;
+ nData = length(entireData);
+ fmin = fs / nData; % * bmin;
+ fmax = fs/2;
+ g = log(fmax) - log(fmin);
+ minAvgs = 1;
+ maxFreqs = 2*desFreqs; %overestimate n. of fourier frequencies
+ ravg = fs/nData * (1 + (1-olap)*(double(desAvg)-1));
+ rmin = fs/nData * (1 + (1-olap)*(double(minAvgs)-1));
+ xov = (1 - olap);
+
+%% calculating freqs and resolution
+
+bmin = 1;
+%LTPDA Switch:
+if ltpdamode
+% LTPDA version
+ Ndata = nData;
+ Jdes = desFreqs;
+ Kdes = desAvg;
+
+ xov = (1 - olap);
+ fmin = fs / Ndata * bmin;
+ fmax = fs/2;
+ fresmin = fs / Ndata;
+ freslim = fresmin * (1+xov*(Kdes-1));
+ logfact = (Ndata/2)^(1/Jdes) - 1;
+
+ f = [];
+ r = [];
+ b = [];
+ L = [];
+ K = [];
+
+ fi = fmin;
+ while fi < fmax
+
+ fres = fi * logfact;
+ if fres <= freslim
+ fres = sqrt(fres*freslim);
+ end
+ if fres < fresmin
+ fres = fresmin;
+ end
+
+ bin = fi/fres;
+ if bin < bmin
+ bin = bmin;
+ fres = fi/bin;
+ end
+
+ dftlen = round(fs / fres);
+ if dftlen > Ndata
+ dftlen = Ndata;
+ end
+ if dftlen < Lmin
+ dftlen = Lmin;
+ end
+
+ nseg = round((Ndata - dftlen) / (xov*dftlen) + 1);
+ if nseg == 1
+ dftlen = Ndata;
+ end
+
+ fres = fs / dftlen;
+ bin = fi / fres;
+
+ % Store outputs
+ f = [f fi];
+ r = [r fres];
+ b = [b bin];
+ L = [L dftlen];
+ K = [K nseg];
+
+ fi = fi + fres;
+
+ end
+ segLength = L(:);
+ fArr = f(:);
+ binArr = b(:);
+ P = zeros(size(fArr));
+ j = 1:length(f);
+ nAvgs = K(:);
+
+elseif ~ltpdamode
+% Gerhard's paper version:
+ j = (0:1:maxFreqs-1);
+ f = fmin*exp(g*(double(j)/(double(desFreqs)-1)));
+ r_1p = f*g/(double(desFreqs)-1);
+ r_2p = zeros(size(r_1p));
+
+ segLength = zeros(1,maxFreqs);
+ fRes = zeros(1,maxFreqs);
+ fArr = zeros(1,maxFreqs);
+ binArr = zeros(1,maxFreqs);
+ jj = 1;
+ fj = f(jj);
+ while fj < fmax
+ if r_1p(jj) >= ravg % see errata
+ r_2p(jj) = r_1p(jj);
+ elseif sqrt(r_1p(jj)*ravg) > rmin && r_1p(jj) < ravg
+ r_2p(jj) = sqrt(r_1p(jj)*ravg);
+ else
+ r_2p(jj) = rmin;
+ end
+
+
+ segLength(jj) = round(fs/r_2p(jj));
+ fRes(jj) = fs/double(segLength(jj));
+ fArr(jj) = fj;
+ binArr(jj) = fArr(jj)/fRes(jj);
+
+ fj = fArr(jj) + fRes(jj);
+ jj = jj+1;
+ end
+ % -- crop ---
+ segLength = segLength(1:jj-1)';
+ fArr = fArr(1:jj-1)';
+ binArr = binArr(1:jj-1)';
+ P = zeros(1,jj-1)';
+ j = j(1:jj-1)';
+ nAvgs = floor(double(nData - segLength)./(double(segLength).*(1-olap))+1);
+
+end
+
+
+%% -- loop over frequencies and segments
+for jj = 1:length(j)
+ ll = (0:segLength(jj)-1)';
+ segShift = (1-olap)*segLength(jj);
+ Aj = zeros(1,nAvgs(jj));
+ win = getwin(wintype,segLength(jj));
+ S1 = sum(win);
+ S2 = sum(win.^2);
+ C_PS = 2/S1^2;
+ C_PSD = 2/(fs*S2);
+
+ fourierFactor = exp(-2*pi*1i*binArr(jj)*ll/segLength(jj));
+ detrendMat = [];
+ detrendMatInv = [];
+
+ for kk = 0:int32(nAvgs(jj))-1
+
+ if (kk*segShift+segLength(jj)) <= length(entireData)
+ seg = entireData(kk*segShift+1:kk*segShift+segLength(jj));
+ segAvg = sum(seg)/segLength(jj);
+ else %out of range
+ seg = entireData(kk*segShift+1:end);
+ segLenEnd = length(seg);
+ segAvg = sum(seg)/segLenEnd;
+ win = getwin(wintype,segLenEnd); %get shorter window
+ llEnd = (0:segLenEnd-1)';
+ fourierFactor = exp(-2*pi*1i*binArr(jj)*llEnd/segLenEnd);
+ end
+
+ %detrend options
+ if order == -1 %no detrend
+ weightedSeg = seg.*win;
+ elseif order == 0
+ weightedSeg = (seg - segAvg).*win;
+ else
+ if any(size(detrendMat,1) ~= [numel(seg)])
+ detrendMat = ones(numel(seg),1);
+ for iz=1:order
+ detrendMat(:,iz+1) = ([1:1:numel(seg)]/numel(seg))'.^iz;
+ end
+ detrendMatInv=inv(detrendMat'*detrendMat)*detrendMat';
+ end
+ pf = detrendMatInv*seg;
+ weightedSeg = (seg-detrendMat*pf).*win;
+ end
+ Aj(kk+1) = sum(weightedSeg .* fourierFactor);
+ end
+
+ P(jj) = sum(Aj.*conj(Aj))/nAvgs(jj);
+
+ enbwcoef = fs*S2/S1^2;
+ switch scale
+ case 'PSD'
+ P(jj) = C_PSD*P(jj);
+ case 'PS'
+ P(jj) = C_PS*P(jj);
+ case 'ASD'
+ P(jj) = sqrt(C_PSD*P(jj));
+ case 'AS'
+ P(jj) = sqrt(C_PS*P(jj));
+ end
+end
+
+end
\ No newline at end of file
diff --git a/utils/masks/masks.odg b/utils/masks/masks.odg
new file mode 100644
index 0000000000000000000000000000000000000000..5b72cd7b0d4727ad84dcbb1922bc2c6586814b17
Binary files /dev/null and b/utils/masks/masks.odg differ
diff --git a/utils/setIO.m b/utils/setIO.m
new file mode 100644
index 0000000000000000000000000000000000000000..41388df7bfefdeb875c29d655b30a70cf34cf888
--- /dev/null
+++ b/utils/setIO.m
@@ -0,0 +1,14 @@
+function ioElement = setIO(mdl,block,mode)
+%SETIO Summary of this function goes here
+% Detailed explanation goes here
+blockName = strcat(mdl,'/',block);
+if strcmp(mode,'input')
+ ioElement = linio(blockName,1,'input');
+elseif strcmp(mode,'output')
+ blockPorts = get_param(blockName,'PortConnectivity');
+ connectedBlock = blockPorts.SrcBlock;
+ ioElement = linio(strcat(mdl,'/',get_param(connectedBlock,'Name')),1,'output');
+end
+
+end
+
diff --git a/utils/setPID.m b/utils/setPID.m
new file mode 100644
index 0000000000000000000000000000000000000000..ee3420fe2c3dbe55c10c885acf872a0887f289ca
--- /dev/null
+++ b/utils/setPID.m
@@ -0,0 +1,9 @@
+function blockHandle = setPID(mdl,blockname, kp, ki, kd)
+%SETPID Summary of this function goes here
+% Detailed explanation goes here
+blockHandle = Simulink.findBlocks(mdl,'Name',blockname);
+set_param(blockHandle,'P',num2str(kp));
+set_param(blockHandle,'I',num2str(ki));
+set_param(blockHandle,'D',num2str(kd));
+end
+
diff --git a/utils/set_param_test.m b/utils/set_param_test.m
new file mode 100644
index 0000000000000000000000000000000000000000..76f466175bf095671ac8c315cd04dd86a8a19dea
--- /dev/null
+++ b/utils/set_param_test.m
@@ -0,0 +1,9 @@
+function [outputArg1,outputArg2] = set_param_test(blockhandle,parmname,parmvalue)
+%SET_PARAM_TEST Summary of this function goes here
+% Detailed explanation goes here
+fprintf('Block handle = %f \n', blockhandle);
+fprintf('Parameter = %s \n', parmname);
+fprintf('Value = %s \n', parmvalue);
+
+end
+
diff --git a/utils/timeseriesFromASD.m b/utils/timeseriesFromASD.m
new file mode 100644
index 0000000000000000000000000000000000000000..1be258e18cce94bb86f9dbc2fdc5abd510947011
--- /dev/null
+++ b/utils/timeseriesFromASD.m
@@ -0,0 +1,52 @@
+function ts = timeseriesFromASD(varargin)
+%TIMESERIESFROMASD returns a timeseries from the ASD of a noise
+% Returns a timeseries from the amplitude spectral density of a noise.
+% The output time series will have the ASD, and random phase.
+%
+% Syntax: ts = timeseriesFromASD(ASDfunc, enbw, fSample, N)
+%
+% Inputs: ASDfunc - function handle where the expression for the ASD is
+% defined;
+% enbw - equivalent noise bandwith = 1/total_observation_time, in s;
+% fSample - sampling frequency, in Hz;
+% N - number of samples;
+%
+% Outputs: ts - timeseries containing the noise;
+%
+% See also: createFrequencyArray, setInjectionBlock
+%
+% Author: Arthur Reis, Alexey Kupryianov
+% email: arthur.reis@aei.mpg.de,
+% Nov 2021; Last revision: 11.Jul.2022;
+
+p = inputParser;
+
+addRequired(p, 'ASDfunc');
+addRequired(p, 'enbw' , @(x) isnumeric(x) && isscalar(x));
+addRequired(p, 'fSample', @(x) isnumeric(x) && isscalar(x));
+addRequired(p, 'N' , @(x) isnumeric(x) && isscalar(x));
+
+parse(p, varargin{:});
+
+ASDfunc = p.Results.ASDfunc;
+enbw = p.Results.enbw;
+fSample = p.Results.fSample;
+N = p.Results.N;
+
+halfF = fSample/2*linspace(0,1,N/2+1); % single-sided positive frequency
+fSeries= [halfF, -(halfF(end-1:-1:2))];
+ASD = ASDfunc(fSeries);
+PSD_dblsided = (ASD).^2/2;
+% if length(PSD_dblsided ) == 1
+% PSD_dblsided = PSD_dblsided *ones(size(freqs));
+% end
+PSD_dblsided(fSeries == 0) = 0;
+U_f = sqrt(PSD_dblsided').*sqrt(enbw/2);
+phi = rand(size(U_f))*2*pi;
+phi(fSeries==0) = 0;
+freq_domain = U_f.*exp(phi.*1i)*numel(U_f)*sqrt(2);
+t_amplitude = ifft(freq_domain,'symmetric');
+
+ts = timeseries(t_amplitude,linspace(0,2/fSample,length(t_amplitude)));
+
+end
\ No newline at end of file