A theorem on the entropy of certain binary sequences and applications--II

1973 IEEE Transactions on Information Theory 254 citations

Abstract

In this, the second part of a two-part paper, we apply the result of Part I [9] to three problems in multi-user communication. 1) For the special case of the broadcast channel where both channels are binary symmetric, we establish a converse result that shows the ad hoc scheme suggested by Cover and Bergmans [2], [3l is in fact optimal. 2) For a modified version of a source coding problem with side information of Slepian and Wolf [3], we establish a converse result. 3) We show that the "common information" of a certain pair of dependent random variables is zero.

Keywords

ConverseBinary numberEntropy (arrow of time)Converse theoremMathematicsRandom variableInformation theoryComputer scienceCover (algebra)Channel codeDiscrete mathematicsTheoretical computer scienceAlgorithmDecoding methodsPure mathematicsStatistics

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Publication Info

Year
1973
Type
article
Volume
19
Issue
6
Pages
772-777
Citations
254
Access
Closed

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A.D. Wyner (1973). A theorem on the entropy of certain binary sequences and applications--II. IEEE Transactions on Information Theory , 19 (6) , 772-777. https://doi.org/10.1109/tit.1973.1055108

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DOI
10.1109/tit.1973.1055108