Mismatched decoding reliability function at zero rate

2021/01/25 by Bondaschi, Marco, Fàbregas, Albert Guillén i, Dalai, Marco
#FOS: Computer and information sciences #Information Theory (cs.IT)

paper · doi:10.48550/arxiv.2101.10238

Abstract

We derive an upper bound on the reliability function of mismatched decoding for zero-rate codes. The bound is based on a result by Komlós that shows the existence of a subcode with certain symmetry properties. The bound is shown to coincide with the expurgated exponent at rate zero for a broad family of channel-decoding metric pairs.

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