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

Authors:
M. Gastpar;B. Rimoldi;M. Vetterli
Affiliations:
Dept. of Electr. Eng. & Comput. Sci., Univ. of California, Berkeley, CA, USA;-;-
Venue:
IEEE Transactions on Information Theory
Year:
2006

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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.