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.
