By KAKIHARA YUICHIRO
Information conception 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 idea 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 function of this publication is to provide details channels within the setting of sensible research and operator concept in addition to likelihood thought. 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 facets, which generalize traditional channels. additionally Gaussian channels are thought of intimately including Gaussian measures on a Hilbert house. The designated themes bankruptcy bargains with gains comparable to generalized means, channels with an intermediate noncommutative approach, and von Neumann algebra approach for channels. ultimately, quantum (noncommutative) details channels are tested in an autonomous bankruptcy, that may be considered as an advent to quantum details idea. Von Neumann entropy is brought and its generalization to a C*-algebra environment is given. easy 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