|| A Sphere-Packing Exponent for Mismatched Decoding
||Ehsan Asadi Kangarshahi, University of Cambridge, United Kingdom; Albert Guillén i Fàbregas, ICREA & Universitat Pompeu Fabra University of Cambridge, Spain|
||D3-S3-T1: Mismatched Decoding
||Wednesday, 14 July, 22:40 - 23:00
||Wednesday, 14 July, 23:00 - 23:20
We derive a sphere-packing error exponent for mismatched decoding over discrete memoryless channels. In particular, we find a lower bound to the probability of error of mismatched decoding that decays exponentially for coding rates smaller than an upper bound to the mismatch capacity. For rates higher than the upper bound, the error probability is shown to be bounded away from zero. The new upper bound is shown to improve over previous upper bounds to the mismatch capacity.