A Generalization of the DMC
Information Theory
2022-09-22 v1 math.IT
Abstract
We consider a generalization of the discrete memoryless channel, in which the channel probability distribution is replaced by a uniform distribution over clouds of channel output sequences. For a random ensemble of such channels, we derive an achievable error exponent, as well as its converse together with the optimal correct-decoding exponent, all as functions of information rate. As a corollary of these results, we obtain the channel ensemble capacity.
Cite
@article{arxiv.2209.10506,
title = {A Generalization of the DMC},
author = {Sergey Tridenski and Anelia Somekh-Baruch},
journal= {arXiv preprint arXiv:2209.10506},
year = {2022}
}
Comments
The material in this paper was partially presented in ITW2020