Rate-Adaptive Spatially Coupled MacKay-Neal Codes with Thresholds Close to Capacity
Information Theory
2025-10-17 v1 math.IT
Abstract
We analyze by density evolution the asymptotic performance of rate-adaptive MacKay-Neal (MN) code ensembles, where the inner code is a protograph spatially coupled (SC) low-density parity-check code. By resorting to a suitably-defined parallel channel model, we compute belief propagation decoding thresholds, showing that SC MN code ensembles can perform within 0.15 dB from the binary-input additive white Gaussian noise capacity over the full [0,1] rate range.
Keywords
Cite
@article{arxiv.2510.14843,
title = {Rate-Adaptive Spatially Coupled MacKay-Neal Codes with Thresholds Close to Capacity},
author = {Ayman Zahr and Gianluigi Liva},
journal= {arXiv preprint arXiv:2510.14843},
year = {2025}
}
Comments
5 pages, 6 figures. Draft paper