On zero-rate error exponents of finite-state channels with input-dependent states
Information Theory
2016-11-15 v1 math.IT
Abstract
We derive a single-letter formula for the zero-rate reliability (error exponent) of a finite-state channel whose state variable depends deterministically (and recursively) on past channel inputs, where the code complies with a given channel input constraint. Special attention is then devoted to the important special case of the Gaussian channel with inter-symbol interference (ISI), where more explicit results are obtained.
Cite
@article{arxiv.1406.7092,
title = {On zero-rate error exponents of finite-state channels with input-dependent states},
author = {Neri Merhav},
journal= {arXiv preprint arXiv:1406.7092},
year = {2016}
}
Comments
22 pages; submitted to IEEE Transactions on Information Theory