The Only Signal Processing and Analysis Tool with Complete Symbolic Power!

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

System Requirements: Signals and Systems requires Mathematica 3 or 4 and is available for Windows 95/98/NT/2000, and most Unix platforms