Signals and Systems

Signals and Systems' essential set of functions for analyzing signals, designing filters, and performing routine signal processing operations is a rare find for engineers. Its numerous built-in tools greatly simplify tasks that involve linear transforms, standard signal representations, and visualization. With a focus on symbolic techniques, these tools bring you capabilities not traditionally available in signal processing software, yet increasingly in demand for high-quality signal analysis. The package's ready-to-use functions help you perform algebraic manipulations on signals and systems to improve, develop, and implement new algorithms. And Mathematica's high-level programming language makes it easy to use the package as an extensible core for handling a wide variety of advanced signal processing problems.

While engineers in industry take advantage of the package to enhance productivity, educators find it particularly useful for teaching signals and systems courses. You can present interactive lessons containing problems and explanation in a Mathematica notebook, and have students derive, explain, and submit their solutions in the same notebook. Thousands of engineering students at universities around the world have already benefited from this technology !

Features

Signal Representations and Operators

Sinc Functions
Dirichlet Sinc Kernel
Unit Singularity Functions (with step, pulse, and impulse functions in discrete and continuous time)
Standard Windowing Functions
Piecewise Representations of Functions
Continuous Operators--Shift, Scaling, Rotation, and Others
Discrete Operators--Upsampling, Downsampling, and Others
Convolution and Correlation (with animation of intermediate computations)

Linear Transforms

Laplace
Fourier
Z
Discrete Fourier
Discrete-Time Fourier
Region of Convergence Tracking for Laplace and Z Transforms
Transforms Support Bilateral and Multidimensional Forms
Linear Difference and Differential Equation Solving

Filter Design

Standard Butterworth, Chebyshev, Elliptic, and Bessel Analog Filters
Digital IIR Filters--Bilinear Transform, Impulse Invariance
Digital FIR Filters--Windowing
Computation of Standard Filter Parameters

Analysis Tools

Special Plots of Signals
Pole-Zero Plots
Magnitude-Phase and Bode Plots
Root-Locus Plots
Nyquist Plots
Report Generation Functions (automatically perform transforms and generate plots for signal analysis)

Other Capabilities

Two-Dimensional Resampling System Design
Analysis of Aliasing in Two-Dimensional Decimation Systems
Smith Forms of Resampling Matrices
Export of System Representations to Ptolemy

Stefan Steinhaus, webmaster@steinhaus-net.de