Algebraic Methods for Signal Processing and Communications Coding

by Richard E. Blahut

The primary purpose of this monograph is to explore the ties between digital signal processing and error-control codes, with the thought of eventually making them two components of a unified theory, or of making a large part of the theory of error-control codes a subset of digital signal processing. By studying the properties of the Fourier transform in an arbitrary field, a perspective emerges in which the two subjects are unified. Because there are many fields and many Fourier transforms in most of these fields, the unified view will also uncover a rich set of mathematical tools, many of which have yet to find an engineering application. The author has published several well-known books, and is widely respected. The topics covered in this book are very important in Electrical Engineering, especially Signal Processing, and Applied Mathematics.

153 pages, Paperback

First published December 20, 1991