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

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3 Author(s)
Gastpar, M. ; Dept. of Electr. Eng. & Comput. Sci., Univ. of California, Berkeley, CA, USA ; Rimoldi, B. ; Vetterli, M.

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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Information Theory, IEEE Transactions on  (Volume:49 ,  Issue: 5 )