Spectral Logic And Its Applications For The Design Of Digital Devices Mark G Karpovsky by Mark G. Karpovsky, Radomir S. Stankovic, Jaakko T. Astola(auth.) 9780470289228, 9780471731887, 0470289228, 0471731889 instant download after payment.

Spectral techniques facilitate the design and testing
of today's increasingly complex digital devices
There is heightened interest in spectral techniques for the design of digital devices dictated by ever increasing demands on technology that often cannot be met by classical approaches. Spectral methods provide a uniform and consistent theoretic environment for recent achievements in this area, which appear divergent in many other approaches. Spectral Logic and Its Applications for the Design of Digital Devices gives readers a foundation for further exploration of abstract harmonic analysis over finite groups in the analysis, design, and testing of digital devices. After an introduction, this book provides the essential mathematical background for discussing spectral methods. It then delves into spectral logic and its applications, covering:
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Walsh, Haar, arithmetic transform, Reed-Muller transform for binary-valued functions and Vilenkin-Chrestenson transform, generalized Haar, 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 and engineering professionals and researchers with an interest in spectral methods of representing discrete functions and related applications in the design and testing of digital devices. It is also an excellent text for graduate students in courses covering spectral logic and its applications.Content:
Chapter 1 Logic Functions (pages 1–30):
Chapter 2 Spectral Transforms for Logic Functions (pages 31–105):
Chapter 3 Calculation of Spectral Transforms (pages 106–153):
Chapter 4 Spectral Methods in Optimization of Decision Diagrams (pages 154–199):
Chapter 5 Analysis and Optimization of Logic Functions (pages 200–260):
Chapter 6 Spectral Methods in Synthesis of Logic Networks (pages 261–307):
Chapter 7 Spectral Methods of Synthesis of Sequential Machines (pages 308–347):
Chapter 8 Hardware Implementation of Spectral Methods (pages 348–369):
Chapter 9 Spectral Methods of Analysis and Synthesis of Reliable Devices (pages 370–421):
Chapter 10 Spectral Methods for Testing of Digital Systems (pages 422–511):
Chapter 11 Examples of Applications and Generalizations of Spectral Methods on Logic Functions (pages 512–540):