A Joint Optimization Technique for Multi-Edge Type LDPC Codes

TL;DR

This paper introduces a joint optimization algorithm for multi-edge type LDPC codes that enhances decoding thresholds by optimizing node degree distribution and edge structure simultaneously.

Contribution

It presents a novel joint optimization method for MET-LDPC codes, improving their decoding performance over existing designs.

Findings

Optimized MET-LDPC codes show higher decoding thresholds.

The proposed algorithm outperforms previous code designs.

Joint optimization is crucial for effective MET-LDPC code design.

Abstract

This paper considers the optimization of multi-edge type low-density parity-check (METLDPC) codes to maximize the decoding threshold. We propose an algorithm to jointly optimize the node degree distribution and the multi-edge structure of MET-LDPC codes for given values of the maximum number of edge-types and maximum node degrees. This joint optimization is particularly important for MET-LDPC codes as it is not clear a priori which structures will be good. Using several examples, we demonstrate that the MET-LDPC codes designed by the proposed joint optimization algorithm exhibit improved decoding thresholds compared to previously reported MET-LDPC codes.