Compact QC-LDPC Block and SC-LDPC Convolutional Codes for Low-Latency Communications

TL;DR

This paper introduces compact QC-LDPC block and SC-LDPC convolutional codes designed for low-latency, low-complexity communication systems, utilizing a novel matrix design approach to achieve high girth and practical performance.

Contribution

It proposes a new design method for compact QC-LDPC and SC-LDPC codes using sequentially multiplied columns, enabling low latency and complexity with high girth.

Findings

Codes with girth up to 12 achieved

Numerical examples demonstrate practical applicability

Design method improves code performance

Abstract

Low decoding latency and complexity are two important requirements of channel codes used in many applications, like machine-to-machine communications. In this paper, we show how these requirements can be fulfilled by using some special quasi-cyclic low-density parity-check block codes and spatially coupled low-density parity-check convolutional codes that we denote as compact. They are defined by parity-check matrices designed according to a recent approach based on sequentially multiplied columns. This method allows obtaining codes with girth up to 12. Many numerical examples of practical codes are provided.