Titlebook: Coding Theorems of Information Theory; Jacob Wolfowitz Book 1978Latest edition Springer-Verlag Berlin Heidelberg 1978 Code.Communication T

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完成才能戰(zhàn)勝

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Combinatorial Preliminaries,interest in these properties will become apparent in Chapter 3. By at once proving the necessary facts we gain in efficiency at the expense of a temporary lack of motivation. To avoid the trivial we assume, throughout this monograph, that . ≧ 2 and . ≧ 2; the main interest in application will usually be for large ..

LOPE

ANTIC

The Semi-Continuous Memoryless Channel,” is of engineering origin.) Without any essential loss of generality we take the space of the output alphabet to be the real line. This is done only to avoid ponderousness, and the extension to the case where the space of the output alphabet is any space on which is defined a .-algebra of sets is trivial.

achlorhydria

Continuous Channels with Additive Gaussian Noise,e. We will take the input alphabet of channel . to be the interval [0, 1]. In place of (8.1.1) we now have . We have 0 ≦ . ≦ 1, . = 1, . . . , n, and the chance variables . (.), . . . , .(.) are independently distributed. The definition of a code is obvious.

MAIZE

Mathematical Miscellanea,hich are basic in published treatments of the subject, but of which no use was made in this monograph. The discussion of Section 5.6 describes the use to which these results are put. A comparison with the methods of Chapter 5 may be instructive.

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Degraded Broadcast Channels,e Cartesian product of .s, with similar definitions for B., ., and, later, for .. There are three individuals I, II, III who act as follows: I wishes to send to II an arbitrarily chosen pair (.) of messages over the d.m.c. .(·|·), and the message . to III over the d.m.c. .(·|·), where ..

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