Titlebook: Coding Theorems of Information Theory; J. Wolfowitz Book 19642nd edition Springer-Verlag Berlin Heidelberg 1964 coding.information.informa

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Continuous Channels with Additive Gaussian Noise,For brevity we shall henceforth refer to the channel to be studied in the present section as the channel .. Let σ. be the variance of the Gaussian noise. We will take the input alphabet of channel . to be the interval [0, 1]. In place of (8.1.1) we now have . . = 1,...,n.

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Group Codes. Sequential Decoding,This chapter is in the nature of an appendix designed to introduce the reader to an important body of current research. References will be found in the remarks which follow the chapter.

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Heuristic Introduction to the Discrete Memoryless Channel,ristic discussion of which the present chapter is devoted. In this discussion there will occur terms not yet precisely defined, to which the reader should give their colloquial meaning. This procedure is compatible with the purpose of the present chapter, which is to motivate the problems to be disc

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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 usual

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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 σ-algebra of sets is t