By KAKIHARA YUICHIRO
Information idea is studied from the subsequent issues of view: (1) the idea of entropy as volume of data; (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 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 objective of this ebook is to provide details channels within the surroundings of useful research and operator conception in addition to likelihood 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 features, which generalize traditional channels. additionally Gaussian channels are thought of intimately including Gaussian measures on a Hilbert area. The exact issues bankruptcy offers with beneficial properties resembling generalized skill, channels with an intermediate noncommutative procedure, and von Neumann algebra technique for channels. ultimately, quantum (noncommutative) details channels are tested in an autonomous bankruptcy, that could be considered as an creation to quantum details thought. 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.
- Information Sources
- Information Channels
- Channel Operators
- Gaussian Channels
- Special Topics
- Quantum Channels
- Glossaries of Axioms
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