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arXiv · 0910.0653

The Gelfand-Pinsker Channel: Strong Converse and Upper Bound for the Reliability Function

Himanshu Tyagi·Prakash Narayan
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Abstract

We consider a Gelfand-Pinsker discrete memoryless channel (DMC) model and provide a strong converse for its capacity. The strong converse is then used to obtain an upper bound on the reliability function. Instrumental in our proofs is a new technical lemma which provides an upper bound for the rate of codes with codewords that are conditionally typical over large message dependent subsets of a typical set of state sequences. This technical result is a nonstraightforward analog of a known result for a DMC without states that provides an upper bound on the rate of a good code with codewords of a fixed type (to be found in, for instance, the Csiszar-Korner book).

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Himanshu Tyagi, Prakash Narayan. 2009-10-04. The Gelfand-Pinsker Channel: Strong Converse and Upper Bound for the Reliability Function. https://arxiv.org/abs/0910.0653

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