By KAKIHARA YUICHIRO
Information thought is studied from the next issues of view: (1) the speculation of entropy as quantity of knowledge; (2) the mathematical constitution of data resources (probability measures); and (3) the speculation of knowledge channels. Shannon entropy and Kolmogorov–Sinai entropy are outlined and their uncomplicated houses are tested, the place the latter entropy is prolonged to be a linear practical on a definite 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 booklet is to provide info channels within the surroundings of sensible research and operator idea in addition to likelihood 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 facets, which generalize traditional channels. additionally Gaussian channels are thought of intimately including Gaussian measures on a Hilbert area. The detailed subject matters bankruptcy bargains with gains equivalent to generalized potential, channels with an intermediate noncommutative method, and von Neumann algebra process for channels. ultimately, quantum (noncommutative) info channels are tested in an autonomous bankruptcy, that could be considered as an advent 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 communique Engineering.
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ABSTRACT METHODS IN INFORMATION THEORY (SECOND EDITION): 10 (SERIES ON MULTIVARIATE ANALYSIS) by KAKIHARA YUICHIRO