Abstract Methods in Information Theory

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  • Abstract Methods in Information Theory Book Detail

  • Author : Y–ichir“ Kakihara
  • Release Date : 1999
  • Publisher : World Scientific
  • Genre : Mathematics
  • Pages : 272
  • ISBN 13 : 9789810237110
  • File Size : 99,99 MB

Abstract Methods in Information Theory by Y–ichir“ Kakihara PDF Summary

Book Description: Information Theory is studied from the following view points: (1) the theory of entropy as amount of information; (2) the mathematical structure of information sources (probability measures); and (3) the theory of information channels. Shannon entropy and Kolmogorov-Sinai entropy are defined and their basic properties are examined, where the latter entropy is extended to be a linear functional on a certain set of measures. Ergodic and mixing properties of stationary sources are studied as well as AMS (asymptotically mean stationary) sources. The main purpose of this book is to present information channels in the environment of real and functional analysis as well as probability theory. Ergodic channels are characterized in various manners. Mixing and AMS channels are also considered in detail with some illustrations. A few other aspects of information channels including measurability, approximation and noncommutative extensions, are also discussed.

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Abstract Methods in Information Theory

Abstract Methods in Information Theory

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Information Theory is studied from the following view points: (1) the theory of entropy as amount of information; (2) the mathematical structure of information

Information Theory and Network Coding

Information Theory and Network Coding

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This book is an evolution from my book A First Course in Information Theory published in 2002 when network coding was still at its infancy. The last few years h