By KAKIHARA YUICHIRO

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

The major objective of this ebook is to provide details channels within the setting of practical research and operator concept in addition to chance concept. 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 facets, which generalize traditional channels. additionally Gaussian channels are thought of intimately including Gaussian measures on a Hilbert house. The precise issues bankruptcy bargains with good points comparable to generalized means, channels with an intermediate noncommutative procedure, and von Neumann algebra strategy for channels. ultimately, quantum (noncommutative) info channels are tested in an self sustaining bankruptcy, that could be considered as an advent to quantum details conception. Von Neumann entropy is brought and its generalization to a C*-algebra surroundings is given. uncomplicated 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 verbal exchange Engineering.

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


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