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Mismatched Decoding Reliability Function at Zero Rate

Accepted version
Peer-reviewed

Type

Article

Change log

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.

Description

Keywords

Decoding, Measurement, Reliability, Upper bound, Capacity planning, Codes, Random variables, Error exponents, mismatched decoding

Journal Title

IEEE Transactions on Information Theory

Conference Name

Journal ISSN

0018-9448
1557-9654

Volume Title

Publisher

Institute of Electrical and Electronics Engineers (IEEE)
Sponsorship
European Research Council (725411)
ERC grant ITUL