By KAKIHARA YUICHIRO

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

The major objective of this ebook is to offer info channels within the surroundings of sensible research and operator thought in addition to chance idea. Ergodic, blending, and AMS channels also are thought of intimately with a few illustrations. during this moment variation, channel operators are studied in lots of features, which generalize usual channels. additionally Gaussian channels are thought of intimately including Gaussian measures on a Hilbert area. The particular subject matters bankruptcy bargains with positive aspects comparable to generalized capability, channels with an intermediate noncommutative method, and von Neumann algebra technique for channels. ultimately, quantum (noncommutative) info channels are tested in an self sustaining bankruptcy, that could be considered as an advent to quantum details idea. Von Neumann entropy is brought and its generalization to a C*-algebra environment 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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