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Books > Reference & Interdisciplinary > Communication studies > Information theory
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Abstract Methods In Information Theory (Hardcover, Second Edition)
Loot Price: R3,756
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Abstract Methods In Information Theory (Hardcover, Second Edition)
Series: Series On Multivariate Analysis, 10
Expected to ship within 10 - 15 working days
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Information Theory is studied from the following points of view:
(1) the theory of entropy as amount of information; (2) the
mathematical structure of information sources (probability
measures); and (3) the theory of information channels. Shannon
entropy and Kolmogorov-Sinai entropy are defined and their basic
properties are examined, where the latter entropy is extended to be
a linear functional on a certain set of measures. Ergodic and
mixing properties of stationary sources are studied as well as AMS
(asymptotically mean stationary) sources.The main purpose of this
book is to present information channels in the environment of
functional analysis and operator theory as well as probability
theory. Ergodic, mixing, and AMS channels are also considered in
detail with some illustrations. In this second edition, channel
operators are studied in many aspects, which generalize ordinary
channels. Also Gaussian channels are considered in detail together
with Gaussian measures on a Hilbert space. The Special Topics
chapter deals with features such as generalized capacity, channels
with an intermediate noncommutative system, and von Neumann algebra
method for channels. Finally, quantum (noncommutative) information
channels are examined in an independent chapter, which may be
regarded as an introduction to quantum information theory. Von
Neumann entropy is introduced and its generalization to a
C*-algebra setting is given. Basic results on quantum channels and
entropy transmission are also considered.
General
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