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COMSOL, Inc.
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Burlington, MA 01803 USA
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Bernt Nilsson, VP of Marketing
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Bjorn Sjodin, VP of Applications
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Comprehensive Signals and Systems Analysis Package Eases Model Verification, Calibration.

A chirp signal (top) and its frequency content or spectral power density (bottom).

One standard way to smooth the details in a spectral plot is with the
Blackman-Tukey method, a feature in the Signals and Systems Lab´s 'spectool'
interface.

Time-frequency Domain (TFD) and autoregressive (AR) modeling of a human EEG signal.
BURLINGTON, MA (October 23, 2006)-The COMSOL Signals & Systems Lab enhances the
COMSOL Multiphysics™ modeling environment with the functions necessary to
perform accurate model verification and calibration. This new tool also provides
an integrated environment for a wide range of tasks involving the analysis of
signals and systems for both professional use and in education.
Model verification and calibration are two essential stages in the development
of simulations intended for use in the real world, whether in manufacturing,
product development, or the research laboratory. Verification, also known as
model checking, is the process of examining a model´s implementation to see
that it meets the original specification, such as making certain that it
accounts for the specified laws of physics. The model can then be calibrated
for the specifics of the task at hand, accounting for a particular set of
operating conditions. Here the modeler tunes model parameters to ensure that
model results follow those from experimental measurements
Both of these stages can benefit greatly from the latest signal-processing, analysis,
and statistical algorithms, methods, and techniques provided by the Signals & Systems Lab.
This is a versatile set of more than a hundred function calls, designed for use with COMSOL
Script™, that supports both continuous-time and discrete-time systems. The commands address
four major related areas: digital signal processing, control-system analysis, adaptive
filtering, and statistical analysis.
In more detail, this rich set of high-level functions in the Signals and Systems Lab addresses:
- Data preprocessing such as for digital filter design, windowing, resampling/interpolation, and detrending/prefiltering
- Frequency analysis using a discrete-time Fourier transform
- Control-system analysis including computation of impulse and step responses, and visualization tools such as Bode plots, Nyquist plots, root-locus plots and pole-zero plots
- Analysis of stochastic processes using spectral analysis, covariance-function estimation, and PDF (probability distribution function) fitting
- Time-frequency description tools as an extension to Fourier analysis and spectral analysis for signals with time-varying characteristics
- Adaptive filtering including recursive estimation of time-varying models, and Kalman filtering for state estimation
- Statistical analysis (complementing similar functions in COMSOL Script to now handle non-Gaussian distributions) for random-number generation, estimating parametric distributions from data, as well as computing error functions and their inverses for hypothesis testing and finding confidence intervals
For all these applications areas, the functions have support for embedded Monte
Carlo simulations. These run in the background without explicit user interaction
and provide confidence bounds in graphical illustrations and numerical results.
Other features available for these application areas include customized overloaded plot
functions that intelligently handle multiple argument lists; a graphical user interface
for data analysis using plots familiar to control engineers; a wide variety of benchmark
examples; plus an extensive database containing real signals and demonstration routines.
The Signals & System Lab is also fully integrated with COMSOL Multiphysics for model-based
analysis.
Price and Availability
The COMSOL Signals & Systems Lab sells for $795; it runs under COMSOL Script, which sells for $995. Both are available immediately.
About the COMSOL product line
COMSOL Multiphysics is a scientific-software environment for the modeling and simulation of
any physics-based system. A particular strength is its ability to account for multiphysics
phenomena. Optional modules add discipline-specific tools for chemical engineering, earth
science, electromagnetics, heat transfer, MEMS and structural mechanics. Other products
include COMSOL Reaction Engineering Lab™, which allows users to model reacting systems;
and COMSOL Script™, a programming language that works both as a general-purpose scientific
computational tool and provides a textual based interface to COMSOL Multiphysics models.
The COMSOL products are available for the Windows, Linux, Solaris, and the Macintosh
operating systems. Full details about COMSOL Multiphysics and related products are
available at
www.comsol.com
About the COMSOL Group
COMSOL was founded in 1986 in Stockholm, Sweden, and has grown to include offices in
the Benelux, Denmark, Finland, France, Germany, Italy, Norway, Switzerland, the United
Kingdom, and a US presence with offices in Burlington, MA, Los Angeles, CA, and Palo
Alto, CA. Additional information about the company is available at
www.comsol.com
COMSOL and FEMLAB are registered trademarks of COMSOL AB. COMSOL Multiphysics,
COMSOL Script, and COMSOL Reaction Engineering Lab are trademarks of COMSOL AB.
Other product or brand names are trademarks or registered trademarks of their respective holders.