Get ABSTRACT METHODS IN INFORMATION THEORY (SECOND EDITION): 10 PDF

By KAKIHARA YUICHIRO

ISBN-10: 9814759236

ISBN-13: 9789814759236

Information conception is studied from the next issues of view: (1) the speculation of entropy as volume of knowledge; (2) the mathematical constitution of knowledge resources (probability measures); and (3) the speculation of knowledge channels. Shannon entropy and Kolmogorov–Sinai entropy are outlined and their uncomplicated homes are tested, the place the latter entropy is prolonged to be a linear useful on a undeniable set of measures. Ergodic and combining houses of desk bound assets are studied in addition to AMS (asymptotically suggest desk bound) sources.

The major function of this publication is to give info channels within the setting of practical research and operator idea in addition to chance idea. Ergodic, blending, and AMS channels also are thought of intimately with a few illustrations. during this moment version, channel operators are studied in lots of elements, which generalize usual channels. additionally Gaussian channels are thought of intimately including Gaussian measures on a Hilbert area. The designated themes bankruptcy bargains with positive factors comparable to generalized capability, channels with an intermediate noncommutative approach, and von Neumann algebra approach for channels. eventually, quantum (noncommutative) info channels are tested in an self reliant bankruptcy, that could be considered as an advent to quantum info conception. Von Neumann entropy is brought and its generalization to a C*-algebra atmosphere is given. easy effects on quantum channels and entropy transmission also are considered.

Contents:

  • Entropy
  • Information Sources
  • Information Channels
  • Channel Operators
  • Gaussian Channels
  • Special Topics
  • Quantum Channels
  • References
  • Glossaries of Axioms
  • Indices

Readership: Graduate scholars and researchers from arithmetic and conversation Engineering.

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ABSTRACT METHODS IN INFORMATION THEORY (SECOND EDITION): 10 (SERIES ON MULTIVARIATE ANALYSIS) by KAKIHARA YUICHIRO


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