• LTPDA Toolbox
• Getting Started with the LTPDA Toolbox
• What is the LTPDA Toolbox
• System Requirements
• Setting-up MATLAB
• Additional 3rd-party software
• Trouble-shooting
• User Guide
• Introducing LTPDA Objects
• Types of User Objects
• Creating LTPDA Objects
• Working with LTPDA objects
• Analysis Objects
• Creating Analysis Objects
• Saving Analysis Objects
• Plotting Analysis Objects
• Collection objects
• Units in LTPDA
• Parameter Lists
• Creating lists of Parameters
• Simulation/modelling
• Built-in models of LTPDA
• Generating model noise
• Franklin noise-generator
• Noise generation with given cross-spectral density
• Parameteric models
• Introduction to parametric models in LTPDA
• Statespace models
• Introduction to Statespace Models with LTPDA
• Building Statespace models
• Building from scratch
• Building from built-in models
• Modifying systems
• Assembling systems
• Simulations
• Transfer Function Modelling
• Pole/Zero representation
• Building a model
• Model helper GUI
• Sum of partial fractions representation
• Rational representation
• Converting models between different representations
• Converting models to digital filters
• Signal Pre-processing in LTPDA
• Downsampling data
• Upsampling data
• Resampling data
• Interpolating data
• Spikes reduction in data
• Data gap filling
• Noise whitening
• Signal Processing in LTPDA
• Digital Filtering
• IIR Filters
• FIR Filters
• Filter banks
• Applying digital filters to data
• Discrete Derivative
• Spectral Estimation
• Introduction
• Spectral Windows
• What are LTPDA spectral windows?
• Using spectral windows
• Spectral Estimation Methods
• Power spectral density estimates
• Cross-spectral density estimates
• Cross coherence estimates
• Transfer function estimates
• Log-scale power spectral density estimates
• Log-scale cross-spectral density estimates
• Log-scale cross coherence density estimates
• Log-scale transfer function estimates
• Fitting Algorithms
• Polynomial Fitting
• Markov Chain Monte Carlo
• Markov Chain Monte Carlo - Simple experiment
• Linear Parameter Estimation with Singular Value Decomposition
• Linear least squares with singular value deconposition - single experiment
• Linear least squares with singular value deconposition - multiple experiments
• Iterative linear parameter estimation for multichannel systems - symbolic system model in frequency domain
• Iterative linear parameter estimation for multichannel systems - ssm system model in time domain
• Z-Domain Fit
• S-Domain Fit
• Graphical User Interfaces in LTPDA
• The LTPDA Launch Bay
• The LTPDA Workbench
• Loading the LTPDA Workbench
• Mouse and keyboard actions
• The canvas
• Building pipelines by hand
• Block types
• Adding blocks to the canvas
• Setting block properties and parameters
• Connecting blocks
• Creating subsystems
• Using the Workbench Shelf
• Accessing the shelf
• Creating shelf categories
• Adding and using shelf subsystems
• Importing and exporting shelf categories
• Execution plans
• Editing the plan
• Linking pipelines
• Executing pipelines
• The LTPDA Workspace Browser
• The pole/zero model helper
• The Spectral Window GUI
• The constructor helper
• The LTPDA object explorer
• Working with an LTPDA Repository
• What is an LTPDA Repository
• Connecting to an LTPDA Repository
• Submitting LTPDA objects to a repository
• Exploring an LTPDA Repository
• Retrieving LTPDA objects from a repository
• LTPDA Extension Modules
• Class descriptions
• ao Class
• collection Class
• filterbank Class
• matrix Class
• mfir Class
• miir Class
• parfrac Class
• pest Class
• plist Class
• pzmodel Class
• rational Class
• smodel Class
• ssm Class
• timespan Class
• Constructor Examples
• General constructor examples
• Constructor examples of the AO class
• Constructor examples of the SMODEL class
• Constructor examples of the MFIR class
• Constructor examples of the MIIR class
• Constructor examples of the PZMODEL class
• Constructor examples of the PARFRAC class
• Constructor examples of the RATIONAL class
• Constructor examples of the TIMESPAN class
• Constructor examples of the PLIST class
• Constructor examples of the SPECWIN class
• LTPDA Training Session 1
• Topic 1 - The basics of LTPDA
• Introducing Analysis Objects
• Making AOs
• Making a time-series AO
• Basic math with AOs
• Saving and loading AOs
• Constructing AOs from data files
• Writing LTPDA scripts
• IFO/Temperature Example - Introduction
• Topic 2 - Pre-processing of data
• Downsampling a time-series AO
• Upsampling a time-series AO
• Resampling a time-series AO
• Interpolation of a time-series AO
• Remove trends from a time-series AO
• Whitening noise
• Select and find data from an AO
• Split and join AOs
• IFO/Temperature Example - Pre-processing
• Topic 3 - Spectral Analysis
• Power Spectral Density estimation
• Example 1: Simply PSD
• Example 2: Windowing data
• Example 3: Log-scale PSD on MDC1 data
• Empirical Transfer Function estimation
• IFO/Temperature Example - Spectral Analysis
• Topic 4 - Transfer function models and digital filtering
• Create transfer function models in s domain
• Pole zero model representation
• Partial fraction representation
• Rational representation
• Transforming models between representations
• Modelling a system
• How to filter data
• By discretizing transfer function models
• By defining filter properties
• IFO/Temperature Example - Simulation
• Topic 5 - Model fitting
• System identification in z-domain
• Generation of noise with given PSD
• Fitting time series with polynomials
• Non-linear least squares fitting of time series
• IFO/Temperature Example - signal subtraction
• LTPDA Training Session 2
• Topic 1 - LTPDA Review.
• Introducing objects in LTPDA
• Saving and loading objects
• Review of spectral estimators
• Preparing data segments (splitting)
• Review of filtering and whitening in LTPDA
• LTPDA scripting best practices
• Introduction to LTPDA extension modules
• Topic 2 - Simulating LPF noise in LTPDA.
• Introduction to state-space models in LTPDA
• Introduction to the LPF state-space models in LTPDA
• Building an LTP model
• Introduction to the various LPF noise models
• Building an LPF model
• Simulating noise
• Simulating harmonic oscillator noise
• Simulating capacitive actuation noise
• Simulating LPF noise
• Changing system parameters
• Simulate LPF with matched stiffness
• Topic 3 - Estimation of equivalent acceleration.
• Principles and theory
• Tools for estimating the equivalent acceleration in LTPDA
• Estimate equivalent acceleration from simulation data
• Topic 4 - Simulating LPF with injected signals.
• LPF model inputs
• Building signals
• How to inject signals
• Simulate LTP with injected signals (no noise)
• Inject noise signals to LTP
• Estimate tranfser functions from simulated signals, compare with Bode estimates
• Simulate LPF with injected signals
• Topic 5 - Introduction to system identification of LPF.
• Introduction to LTPDA's parameter estimation tools
• A simplified LPF system identification experiment
• Create simulated experiment data sets
• Build state-space LTP models for system identification
• Calculate expected covariance of the parameters (FIM)
• Perform system identification to estimate desired parameters
• Parameter estimation with MCMC
• Linear Parameter Estimation with Singular Value Decomposition
• Building whitening filters
• Linear Parameter Estimation
• Results and Comparison
• Use parameter estimates to estimate residual differential acceleration
• Examples
• Demos
• Release Notes
• Version 2.5.1 LTPDA Toolbox Software
• Version 2.5 LTPDA Toolbox Software
• Version 2.4 LTPDA Toolbox Software
• Version 2.3.1 LTPDA Toolbox Software
• Version 2.3 LTPDA Toolbox Software
• Version 2.2 LTPDA Toolbox Software
• Version 2.1 LTPDA Toolbox Software
• Version 2.0.1 LTPDA Toolbox Software
• Version 2.0 LTPDA Toolbox Software
• LTPDA Web Site