Decoder Ties Do Not Affect the Error Exponent of the Memoryless Binary Symmetric Channel
Information Theory
2021-11-05 v2 math.IT
Abstract
The generalized Poor-Verdu error lower bound established in [1] for multihypothesis testing is studied in the classical channel coding context. It is proved that for any sequence of block codes sent over the memoryless binary symmetric channel (BSC), the minimum probability of error (under maximum likelihood decoding) has a relative deviation from the generalized bound that grows at most linearly in blocklength. This result directly implies that for arbitrary codes used over the BSC, decoder ties can only affect the subexponential behavior of the minimum probability of error.
Cite
@article{arxiv.2007.04080,
title = {Decoder Ties Do Not Affect the Error Exponent of the Memoryless Binary Symmetric Channel},
author = {Ling-Hua Chang and Po-Ning Chen and Fady Alajaji and Yunghsiang S. Han},
journal= {arXiv preprint arXiv:2007.04080},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:2001.01159