Spatially Coupled LDPC Codes for Decode-and-Forward in Erasure Relay Channel

TL;DR

This paper demonstrates that spatially-coupled LDPC codes, especially MacKay-Neal codes, nearly achieve the theoretical limits of the erasure relay channel, showing promising potential for reliable communication.

Contribution

It introduces the application of spatially-coupled protograph-based LDPC codes to the erasure relay channel and shows their thresholds approach the theoretical limits.

Findings

BP threshold of spatially-coupled codes is close to the channel's theoretical limit.

Spatially-coupled MacKay-Neal codes perform well in erasure relay channels.

Empirical results indicate potential to reach the relay channel capacity.

Abstract

We consider spatially-coupled protograph-based LDPC codes for the three terminal erasure relay channel. It is observed that BP threshold value, the maximal erasure probability of the channel for which decoding error probability converges to zero, of spatially-coupled codes, in particular spatially-coupled MacKay-Neal code, is close to the theoretical limit for the relay channel. Empirical results suggest that spatially-coupled protograph-based LDPC codes have great potential to achieve theoretical limit of a general relay channel.