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S E I R E S W E I V R E V O S T C U D O R P M A R F L O W 0 2 4 6 w1 0 2 4 6 w2 0 0.5 1 0 2 4 w1 KEY BENEFITS Contains both continuous-time and discrete-time symbolic transforms, including the Laplace, Fourier, Z, and discrete-time Fourier transforms. Helps implement classic filter design, based on the standard analog types like Bessel, Butterworth, Chebyshev types I and II, and Elliptic filters. Provides the tools for digital filter design. 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. 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. For more information, visit www.wolfram.com/signals. THE ONLY SIGNAL PROCESSING AND ANALYSIS TOOL WITH Signals and Systems includes a wide range of visualization tools including standard graphic representations, such as pole-zero, root-locus, magnitude- phase, and Nyquist plots. THE ONLY SIGNAL PROCESSING AND ANALYSIS TOOL WITH COMPLETE SYMBOLIC POWER

Signals and Systems - Wolframmedia.wolfram.com/brochures/signalssystemsspecsheet.pdf · Signals and Systems’ essential set of functions for analyzing signals, designing filters,

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Page 1: Signals and Systems - Wolframmedia.wolfram.com/brochures/signalssystemsspecsheet.pdf · Signals and Systems’ essential set of functions for analyzing signals, designing filters,

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KEY BENEFITS

Contains both continuous-time and discrete-time symbolic transforms, including the Laplace, Fourier, Z, and discrete-time Fourier transforms.

Helps implement classic filter design, based on the standard analog types like Bessel, Butterworth, Chebyshev types I and II, and Elliptic filters.

Provides the tools for digital filter design.

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.

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.

For more information, visit www.wolfram.com/signals.

THE ONLY SIGNAL PROCESSING AND ANALYSIS TOOL WITH COMPLETE SYMBOLIC POWER

THE ONLY SIGNAL PROCESSING AND ANALYSIS TOOL WITH COMPLETE SYMBOLIC POWER

Signals and Systems includes a wide range of visualization tools including standard graphic representations, such as pole-zero, root-locus, magnitude-phase, and Nyquist plots.

THE ONLY SIGNAL PROCESSING AND ANALYSIS TOOL WITH COMPLETE SYMBOLIC POWER

Page 2: Signals and Systems - Wolframmedia.wolfram.com/brochures/signalssystemsspecsheet.pdf · Signals and Systems’ essential set of functions for analyzing signals, designing filters,

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© 2005 Wolfram Research, Inc. Mathematica is a registered trademark and MathematicaMark is a trademark of Wolfram Research, Inc. All other trademarks are the property of their respective owners. Mathematica is not associated with Mathematica Policy Research, Inc. or MathTech, Inc. MKT2004 494559 0405.jas

Signal Representations and OperatorsSinc 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 TransformsLaplace 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 DesignStandard Butterworth, Chebyshev, Elliptic, and Bessel Analog Filters Digital IIR Filters—Bilinear Transform, Impulse Invariance Digital FIR Filters—Windowing Computation of Standard Filter Parameters

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

Signals and Systems Features

For more information, visit www.wolfram.com/signals.

Analyze signals, design filters, and perform routine signal processing operations with Mathematica’s powerful computational and visualization environment.

Over 1900 built-in functions, including the world‘s largest collection of advanced algorithms for numeric and symbolic computation, discrete mathematics, statistics, data analysis, graphics, visualization, and general programming

Multi-paradigm symbolic programming language with support for procedural, functional, list-based, object-oriented, and symbolic programming constructs

Automatic precision control and support for exact integers of arbitrary length, rationals, floating-point real and complex numbers, and arbitrary-precision real and complex numbers

User-defined or automatic algorithm selection for optimal performance

Fully programmable 2D and 3D visualization with over 50 built-in plot types

Fully integrated piecewise functions

High-speed numerical linear algebra with performance equal to specialized numeric libraries

High-performance optimization and linear programming functions

Wide-ranging support for sparse matrices

Flexible import and export of over 70 data, image, and sparse matrix formats

Industrial-strength string manipulation

Highly optimized binary data I/O

Built-in universal database connectivity

Integrated web services support

Language bindings to C, Java, .NET, and scripting languages

MathematicaMark™ benchmarking tool

Toolkit for creating graphical user interfaces

General Mathematica

Features

TechnicalRequirements

Signals and Systems requires Mathematica 5 or later and is available for Windows, Mac OS X, Linux, Unix, and compatible systems. For a more detailed list, see www.wolfram.com/mathematica/platforms.

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THE ONLY SIGNAL PROCESSING AND ANALYSIS TOOL WITH COMPLETE SYMBOLIC POWER

THE ONLY SIGNAL PROCESSING AND ANALYSIS TOOL WITH COMPLETE SYMBOLIC POWER