Mismatched decoding reliability function at zero rate

25 Jan 2021  ·  Marco Bondaschi, Albert Guillén i Fàbregas, Marco Dalai ·

We derive an upper bound on the reliability function of mismatched decoding for zero-rate codes. The bound is based on a result by Koml\'os 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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