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On the optimum average distortion attainable by fixed-rate coding of a nonergodic source

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1 Author(s)

A simple proof is given for the Gray-Davisson result on the ergodic decomposition of the optimum average distortion attainable by fixed-rate coding of a nonergodic source, for the special ease of a bounded distortion measure. A second proof is given for a more general class of distortion measures using a result of Ziv.

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Information Theory, IEEE Transactions on  (Volume:21 ,  Issue: 2 )