Multi-Bit Relaying over a Tandem of Channels
Abstract
We study error exponents for the problem of relaying a message over a tandem of two channels sharing the same transition law, in particular moving beyond the 1-bit setting studied in recent related works. Our main results show that the 1-hop and 2-hop exponents coincide in both of the following settings: (i) the number of messages is fixed, and the channel law satisfies a condition called pairwise reversibility, or (ii) the channel is arbitrary, and a zero-rate limit is taken from above. In addition, we provide various extensions of our results that relax the assumptions of pairwise reversibility and/or the two channels having identical transition laws, and we provide an example for which the 2-hop exponent is strictly below the 1-hop exponent.
Keywords
Cite
@article{arxiv.2208.02003,
title = {Multi-Bit Relaying over a Tandem of Channels},
author = {Yan Hao Ling and Jonathan Scarlett},
journal= {arXiv preprint arXiv:2208.02003},
year = {2023}
}
Comments
IEEE Transactions on Information Theory