A Source-Channel Separation Theorem With Application to the Source Broadcast Problem

A converse method is developed for the source broadcast problem. Specifically, it is shown that the separation architecture is optimal for a variant of the source broadcast problem, and the associated source-channel separation theorem can be leveraged, via a reduction argument, to establish a necess...

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Bibliographic Details
Published in:IEEE transactions on information theory Vol. 62; no. 4; pp. 1764 - 1781
Main Authors: Khezeli, Kia, Jun Chen
Format: Journal Article
Language:English
Published: New York IEEE 01.04.2016
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
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ISSN:0018-9448, 1557-9654
Online Access:Get full text
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Summary:A converse method is developed for the source broadcast problem. Specifically, it is shown that the separation architecture is optimal for a variant of the source broadcast problem, and the associated source-channel separation theorem can be leveraged, via a reduction argument, to establish a necessary condition for the original problem, which unifies several existing results in the literature. Somewhat surprisingly, this method, albeit based on the source-channel separation theorem, can be used to prove the optimality of non-separation-based schemes and determine the performance limits in certain scenarios where the separation architecture is suboptimal.
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ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2016.2528279