Mismatched decoding reliability function at zero rate
Information Theory
2021-12-08 v5 math.IT
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 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.
Keywords
Cite
@article{arxiv.2101.10238,
title = {Mismatched decoding reliability function at zero rate},
author = {Marco Bondaschi and Albert Guillén i Fàbregas and Marco Dalai},
journal= {arXiv preprint arXiv:2101.10238},
year = {2021}
}