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Spectral Logic and Its Applications for the Design of Digital Devices
Mark G. Karpovsky, Radomir S. Stankovic, Jaakko T. Astola
ISBN: 978-0-471-73188-7
Hardcover
598 pages
May 2008
Spectral techniques facilitate the design and testing
of today's increasingly complex digital devices
There is heightened interest in spectral techniques for the design ofdigital devices dictated by ever increasing demands on technology thatoften cannot be met by classical approaches. Spectral methods provide auniform and consistent theoretic environment for recent achievements inthis area, which appear divergent in many other approaches. SpectralLogic and Its Applications for the Design of Digital Devices givesreaders a foundation for further exploration of abstract harmonicanalysis over finite groups in the analysis, design, and testing ofdigital devices. After an introduction, this book provides theessential mathematical background for discussing spectral methods. Itthen delves into spectral logic and its applications, covering:
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Walsh, Haar, arithmetic transform, Reed-Muller transform forbinary-valued functions and Vilenkin-Chrestenson transform, generalizedHaar, and other related transforms for multiple-valued functions
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Polynomial expressions and decision diagram representations for switching and multiple-value functions
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Spectral analysis of Boolean functions
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Spectral synthesis and optimization of combinational and sequential devices
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Spectral methods in analysis and synthesis of reliable devices
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Spectral techniques for testing computer hardware
This is the authoritative reference for computer science andengineering professionals and researchers with an interest in spectralmethods of representing discrete functions and related applications inthe design and testing of digital devices. It is also an excellent textfor graduate students in courses covering spectral logic and itsapplications. |
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