Spectral Logic and Its Applications for the Design of Digital Devices (PDF)

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:

* 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

* Polynomial expressions and decision diagram representations for
switching and multiple-value functions

* Spectral analysis of Boolean functions

* Spectral synthesis and optimization of combinational and sequential
devices

* Spectral methods in analysis and synthesis of reliable
devices

* 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.