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research-article

To code, or not to code: lossy source-channel communication revisited

Published: 01 September 2006 Publication History

Abstract

What makes a source-channel communication system optimal? It is shown that in order to achieve an optimal cost-distortion tradeoff, the source and the channel have to be matched in a probabilistic sense. The match (or lack of it) involves the source distribution, the distortion measure, the channel conditional distribution, and the channel input cost function. Closed-form necessary and sufficient expressions relating the above entities are given. This generalizes both the separation-based approach as well as the two well-known examples of optimal uncoded communication. The condition of probabilistic matching is extended to certain nonergodic and multiuser scenarios. This leads to a result on optimal single-source broadcast communication.

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cover image IEEE Transactions on Information Theory
IEEE Transactions on Information Theory  Volume 49, Issue 5
May 2003
314 pages

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IEEE Press

Publication History

Published: 01 September 2006

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  • (2024)Shannon–Kotel’nikov Mappings for Analog Point-to-Point CommunicationsIEEE Transactions on Information Theory10.1109/TIT.2023.329796270:4(2491-2517)Online publication date: 1-Apr-2024
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