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

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楼主: malcontented
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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 t
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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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Fundamentals of Rate Distortion Theory,(., . . . , .), and . be the space of all .-sequences with elements in the source alphabet. Let . = {1, . . . , .} be the “reproduction’’ alphabet, and C*. the space of all .-sequences with elements in this alphabet. Let . be a given “distortion” function, i.e., .) is the “distortion” between . = 1,
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Source Coding and Rate Distortion, As usual, C*. will denote the space of such sequences. A distortion function . between elements of . = {1,..., .} and . = {1,..., .} is given, and the distortion between .-sequences defined in the usual manner, i.e., ..
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https://doi.org/10.1007/978-1-4020-5016-9Let . = 1, . . . , ., be non-negative numbers such that . is a probability .-vector. The function . (· | ·) will now play the role of a “channel probability function” (c.p.f.).
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