Symbol Message Passing Decoding of Nonbinary Low-Density Parity-Check Codes
Information Theory
2019-09-24 v2 math.IT
Abstract
We present a novel decoding algorithm for q-ary low-density parity-check codes, termed symbol message passing. The proposed algorithm can be seen as a generalization of Gallager B and the binary message passing algorithm by Lechner et al. to q-ary codes. We derive density evolution equations for the q-ary symmetric channel, compute thresholds for a number of regular low-density parity-check code ensembles, and verify those by Monte Carlo simulations of long channel codes. The proposed algorithm shows performance advantages with respect to an algorithm of comparable complexity from the literature.
Cite
@article{arxiv.1906.02537,
title = {Symbol Message Passing Decoding of Nonbinary Low-Density Parity-Check Codes},
author = {Francisco Lázaro and Alexandre Graell i Amat and Gianluigi Liva and Balázs Matuz},
journal= {arXiv preprint arXiv:1906.02537},
year = {2019}
}
Comments
Will be presented at IEEE Globecom 2019