When does the source-channel separation theorem hold?

Sridhar Vembu, Sergio Verdu, Yossef Steinberg

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The source-channel coding theorem was studied. For this purpose, an example of memoryless information stable source-channel for which the separation theorem fails to hold was considered first. It was observed that this example did not provide the necessary information, thus for such case a careful look at the statistical structure of the channel and the source must be considered. This proves that two similar conditions called domination and strict domination are necessary and sufficient for reliable transmissibility. Basing from this, the channels for which the classical statement of the separation theorem holds for every source is characterized. It is noted that when dealing with nonstationary probabilistic models, care should be exercised before applying the separation theorem.

Original languageEnglish (US)
Title of host publicationIEEE International Symposium on Information Theory - Proceedings
PublisherIEEE
StatePublished - Dec 1 1994
EventProceedings of the 1994 IEEE International Symposium on Information Theory - Trodheim, Norw
Duration: Jun 27 1994Jul 1 1994

Other

OtherProceedings of the 1994 IEEE International Symposium on Information Theory
CityTrodheim, Norw
Period6/27/947/1/94

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

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