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• W2098496775 abstract "Let the kth-order empirical distribution of a code be defined as the proportion of k-strings anywhere in the codebook equal to every given k-string. We show that for any fixed k, the kth-order empirical distribution of any good code (i.e., a code approaching capacity with vanishing probability of error) converges in the sense of divergence to the set of input distributions that maximize the input/output mutual information of k channel uses. This statement is proved for discrete memoryless channels as well as a large class of channels with memory. If k grows logarithmically (or faster) with blocklength, the result no longer holds for certain good codes, whereas for other good codes, the result can be shown for k growing as fast as a certain fraction of blocklength." @default.
• W2098496775 created "2016-06-24" @default.
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• W2098496775 date "1997-05-01" @default.
• W2098496775 modified "2023-10-18" @default.
• W2098496775 title "The empirical distribution of good codes" @default.
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• W2098496775 doi "https://doi.org/10.1109/18.568695" @default.
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