Information-Spectrum Methods in Information Theory: 50 (Stochastic Modelling and Applied Probability, 50) - Hardcover

Han, Te Sun

Hardcover

ISBN 10: 3540435816 ISBN 13: 9783540435815

Publisher: Springer, 2002

Synopsis

This book opens a novel dimension in the 50 year history of mathematical theory of "information" since the birth of Shannon theory. First of all, it introduces, in place of the traditional notion of entropy and mutual information, the completely new and highly unconventional approach of "information-spectrum" as a basic but powerful tool for constructing the general theory of information. Reconstructing step-by-step all the essential major topics in information theory from the viewpoint of such an "information-spectrum", this comprehensive work provides an accessible introduction to the new type of mathematical theory of information that focuses mainly on general nonstationary and /or nonergodic sources and channels, in clear contrast with the traditional theories of information. This book is a new non-traditional theoretical reference for communication professionals and statisticians specializing in information theory.

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Review

From the reviews:

MATHEMATICAL REVIEWS

"This book nicely complements the existing literature on information and coding theory by concentrating on arbitrary nonstationary and/or nonergodic sources and channels with arbitrarily large alphabets. Even with such generality the authors have managed to successfully reach a highly unconventional but very fertile exposition rendering new insights into many problems."

"This book proposes a generalization of information theory in the sense of Shannon to a situation with sources and channels being possibly nonstationary and/or nonergodic. ... This book presents useful and important concepts in information theory arising from original ideas of the author ... ." (A. Akutowicz, Zentralblatt MATH, Vol. 1010, 2003)

"This book nicely complements the existing literature on information and coding theory by concentrating on arbitrary nonstationary and/or nonergodic sources and channels with arbitrarily large alphabets. Even with such generality the authors have managed to successfully reach a highly unconventional but very fertile exposition rendering new insights into many problems. The book establishes a unified general treatment for a collection of results ... . The book contains a considerable number of historical remarks together with a rather extensive list of references ... ." (Andrei Kelarev, Mathematical Reviews, 2003 i)

Edition details

• Publisher: Springer
• Publication date: 2002
• ISBN 10: 3540435816
• ISBN 13: 9783540435815
• Binding: Hardcover
• Language: English
• Number of pages: 556