To code, or not to code: lossy source-channel communication revisited
Gastpar, M.; Rimoldi, B.; Vetterli, M.
Information Theory, IEEE Transactions on
Volume 49, Issue 5, May 2003 Page(s): 1147 - 1158
Digital Object Identifier   10.1109/TIT.2003.810631
Summary: 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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