Information Theory

Information Theory

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by Robert B. Ash
     
 

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Developed by Claude Shannon and Norbert Wiener in the late 1940s, information theory, or statistical communication theory, deals with the theoretical underpinnings of a wide range of communication devices: radio, television, radar, computers, telegraphy, and more. This book is an excellent introduction to the mathematics underlying the theory.
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Overview

Developed by Claude Shannon and Norbert Wiener in the late 1940s, information theory, or statistical communication theory, deals with the theoretical underpinnings of a wide range of communication devices: radio, television, radar, computers, telegraphy, and more. This book is an excellent introduction to the mathematics underlying the theory.
Designed for upper-level undergraduates and first-year graduate students, the book treats three major areas: analysis of channel models and proof of coding theorems (chapters 3, 7, and 8); study of specific coding systems (chapters 2, 4, and 5); and study of statistical properties of information sources (chapter 6). Among the topics covered are noiseless coding, the discrete memoryless channel, effort correcting codes, information sources, channels with memory, and continuous channels.
The author has tried to keep the prerequisites to a minimum. However, students should have a knowledge of basic probability theory. Some measure and Hilbert space theory is helpful as well for the last two sections of chapter 8, which treat time-continuous channels. An appendix summarizes the Hilbert space background and the results from the theory of stochastic processes necessary for these sections. The appendix is not self-contained but will serve to pinpoint some of the specific equipment needed for the analysis of time-continuous channels.
In addition to historic notes at the end of each chapter indicating the origin of some of the results, the author has also included 60 problems with detailed solutions, making the book especially valuable for independent study.

Product Details

ISBN-13:
9780486665214
Publisher:
Dover Publications
Publication date:
11/01/1990
Series:
Dover Books on Mathematics Series
Pages:
352
Sales rank:
1,207,126
Product dimensions:
5.35(w) x 8.42(h) x 0.66(d)

Meet the Author

Professor Emeritus of Mathematics at the University of Illinois, Robert Ash is the author of three other Dover books: Basic Abstract Algebra, Basic Probability Theory, and Complex Variables and Information Theory.

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Information Theory 5 out of 5 based on 0 ratings. 2 reviews.
Anonymous More than 1 year ago
Guest More than 1 year ago
The book by Shannon and Weaver (1949) is the classic; Shannon almost *is* information theory. There is more to it: The present lovely little book appeared first in 1965, but is still very relevant. I think it is a good next book to read. At least the mathematical part of the subject stays more constant over the years, as do the fundamental principles;-- that is what Ash's book is about. I especially liked ch 4 on error correcting codes, and the mathematical appendix which is centered around the Karhunen-Loeve theorem;-- the latter having found recent exciting applications in wavelet theory.