Fourier Analysis on Finite Groups with Applications in Signal Processing and System Design

Radomir S. Stankovic, Claudio Moraga, Jaakko Astola9780471694632, 0471694630

This book examines applications of Fourier analysis on finite non-Abelian groups, and discusses different methods to determine compact representations for discrete functions providing for their efficient realizations and related applications. Switching functions are included as a particular example of discrete functions in engineering practice. Consideration is given to the polynomial expressions and decision diagrams defined in terms of Fourier transform on finite non-Abelain groups. The book demonstrates how transferring a problem from its original form into the spectral domain may provide major advantages, such as simplifying numerical calculation tasks.