Description

Book Synopsis
This book is very specifically targeted to problems in communications and compression by providing the fundamental principles and results in information theory and rate distortion theory for these applications and presenting methods that have proved and will prove useful in analyzing and designing real systems. The chapters contain treatments of entropy, mutual information, lossless source coding, channel capacity, and rate distortion theory; however, it is the selection, ordering, and presentation of the topics within these broad categories that is unique to this concise book. While the coverage of some standard topics is shortened or eliminated, the standard, but important, topics of the chain rules for entropy and mutual information, relative entropy, the data processing inequality, and the Markov chain condition receive a full treatment. Similarly, lossless source coding techniques presented include the Lempel-Ziv-Welch coding method. The material on rate Distortion theory and exploring fundamental limits on lossy source coding covers the often-neglected Shannon lower bound and the Shannon backward channel condition, rate distortion theory for sources with memory, and the extremely practical topic of rate distortion functions for composite sources.

Table of Contents
Preface.- Communications, Compression and Fundamental Limits.- Entropy and Mutual Information.- Lossless Source Coding.- Channel Capacity.- Rate Distortion Theory and Lossy Source Coding.- Bibliography.- Author's Biography.

Information Theory and Rate Distortion Theory for Communications and Compression

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    A Paperback by Jerry Gibson

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      View other formats and editions of Information Theory and Rate Distortion Theory for Communications and Compression by Jerry Gibson

      Publisher: Springer International Publishing AG
      Publication Date: 31/12/2013
      ISBN13: 9783031005527, 978-3031005527
      ISBN10: 303100552X

      Description

      Book Synopsis
      This book is very specifically targeted to problems in communications and compression by providing the fundamental principles and results in information theory and rate distortion theory for these applications and presenting methods that have proved and will prove useful in analyzing and designing real systems. The chapters contain treatments of entropy, mutual information, lossless source coding, channel capacity, and rate distortion theory; however, it is the selection, ordering, and presentation of the topics within these broad categories that is unique to this concise book. While the coverage of some standard topics is shortened or eliminated, the standard, but important, topics of the chain rules for entropy and mutual information, relative entropy, the data processing inequality, and the Markov chain condition receive a full treatment. Similarly, lossless source coding techniques presented include the Lempel-Ziv-Welch coding method. The material on rate Distortion theory and exploring fundamental limits on lossy source coding covers the often-neglected Shannon lower bound and the Shannon backward channel condition, rate distortion theory for sources with memory, and the extremely practical topic of rate distortion functions for composite sources.

      Table of Contents
      Preface.- Communications, Compression and Fundamental Limits.- Entropy and Mutual Information.- Lossless Source Coding.- Channel Capacity.- Rate Distortion Theory and Lossy Source Coding.- Bibliography.- Author's Biography.

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