Physical-layer Network Coding: A Random Coding Error Exponent Perspective
Information Theory
2017-02-07 v1 math.IT
Abstract
In this work, we derive the random coding error exponent for the uplink phase of a two-way relay system where physical layer network coding (PNC) is employed. The error exponent is derived for the practical (yet sub-optimum) XOR channel decoding setting. We show that the random coding error exponent under optimum (i.e., maximum likelihood) PNC channel decoding can be achieved even under the sub-optimal XOR channel decoding. The derived achievability bounds provide us with valuable insight and can be used as a benchmark for the performance of practical channel-coded PNC systems employing low complexity decoders when finite-length codewords are used.
Cite
@article{arxiv.1702.01311,
title = {Physical-layer Network Coding: A Random Coding Error Exponent Perspective},
author = {Shakeel Salamat Ullah and Gianluigi Liva and Soung Chang Liew},
journal= {arXiv preprint arXiv:1702.01311},
year = {2017}
}
Comments
Submitted to IEEE International Symposium on Information Theory (ISIT), 2017