By KAKIHARA YUICHIRO
Information thought is studied from the next issues of view: (1) the speculation of entropy as quantity of data; (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 easy 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 resources are studied in addition to AMS (asymptotically suggest desk bound) sources.
The major goal of this publication is to give info channels within the setting of useful research and operator conception in addition to chance conception. 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 features, which generalize traditional channels. additionally Gaussian channels are thought of intimately including Gaussian measures on a Hilbert house. The designated issues bankruptcy bargains with positive factors corresponding to generalized means, channels with an intermediate noncommutative procedure, and von Neumann algebra process for channels. ultimately, quantum (noncommutative) info channels are tested in an self sufficient bankruptcy, that could be considered as an creation to quantum details concept. Von Neumann entropy is brought and its generalization to a C*-algebra surroundings is given. simple effects on quantum channels and entropy transmission also are considered.
- Information Sources
- Information Channels
- Channel Operators
- Gaussian Channels
- Special Topics
- Quantum Channels
- Glossaries of Axioms
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