Extremes of Error Exponents
Information Theory
2012-12-06 v1 math.IT
Abstract
This paper determines the range of feasible values of standard error exponents for binary-input memoryless symmetric channels of fixed capacity and shows that extremes are attained by the binary symmetric and the binary erasure channel. The proof technique also provides analogous extremes for other quantities related to Gallager's function, such as the cutoff rate, the Bhattacharyya parameter, and the channel dispersion.
Keywords
Cite
@article{arxiv.1212.1098,
title = {Extremes of Error Exponents},
author = {Albert Guillen i Fabregas and Ingmar Land and Alfonso Martinez},
journal= {arXiv preprint arXiv:1212.1098},
year = {2012}
}
Comments
6 pages, 4 figures, accepted IEEE Transactions on Information Theory