Open Library logo
New Feature: You can now embed Open Library books on your website!   Learn More
Last edited by ImportBot
June 18, 2010 | History

Fourier analysis on finite groups with applications in signal processing and system design 2 editions

Cover of: Fourier analysis on finite groups with applications in signal processing and system design | Radomir S. Stanković
About the Book

Discover applications of Fourier analysis on finite non-Abelian groups The majority of publications in spectral techniques consider Fourier transform on Abelian groups. However, non-Abelian groups provide notable advantages in efficient implementations of spectral methods. Fourier Analysis on Finite Groups with Applications in Signal Processing and System Design examines aspects of Fourier analysis on finite non-Abelian groups and discusses different methods used to determine compact representations for discrete functions providing for their efficient realizations and related applications. Switching functions are included as an example of discrete functions in engineering practice. Additionally, consideration is given to the polynomial expressions and decision diagrams defined in terms of Fourier transform on finite non-Abelian groups. A solid foundation of this complex topic is provided by beginning with a review of signals and their mathematical models and Fourier analysis. Next, the book examines recent achievements and discoveries in: Matrix interpretation of the fast Fourier transform Optimization of decision diagrams Functional expressions on quaternion groups Gibbs derivatives on finite groups Linear systems on finite non-Abelian groups Hilbert transform on finite groups Among the highlights is an in-depth coverage of applications of abstract harmonic analysis on finite non-Abelian groups in compact representations of discrete functions and related tasks in signal processing and system design, including logic design. All chapters are self-contained, each with a list of references to facilitate the development of specialized courses or self-study. With nearly 100 illustrative figures and fifty tables, this is an excellent textbook for graduate-level students and researchers in signal processing, logic design, and system theory-as well as the more general topics of computer science and applied mathematics.

Classifications

Library of Congress TK5102.9 .S696 2005

2 editions First published in 2005

Edition Read Locate Buy
Cover of: Fourier Analysis on Finite Groups with Applications in Signal Processing and System Design
2005, John Wiley & Sons, Ltd.
Fourier Analysis on Finite Groups with Applications in Signal Processing and System Design
Electronic resource in English
Cover of: Fourier analysis on finite groups with applications in signal processing and system design

History

Download catalog record: RDF / JSON
June 18, 2010 Edited by ImportBot add details from OverDrive
January 29, 2010 Edited by WorkBot add more information to works
December 11, 2009 Created by WorkBot add works page