Optimized Rate-Adaptive Protograph-Based LDPC Codes for Source Coding with Side Information

TL;DR

This paper introduces a novel rate-adaptive LDPC code construction for Slepian-Wolf source coding with side information, optimizing performance across varying statistical conditions.

Contribution

It presents a new code design method that adapts to different rates and minimizes short cycles, improving efficiency over standard solutions.

Findings

Significant reduction in source coding rate compared to LDPCA.

Effective rate adaptation across varying source-side information relations.

Optimized degree distributions with minimized short cycles.

Abstract

This paper considers the problem of source coding with side information at the decoder, also called Slepian-Wolf source coding scheme. In practical applications of this coding scheme, the statistical relation between the source and the side information can vary from one data transmission to another, and there is a need to adapt the coding rate depending on the current statistical relation. In this paper, we propose a novel rate-adaptive code construction based on LDPC codes for the Slepian-Wolf source coding scheme. The proposed code design method allows to optimize the code degree distributions at all the considered rates, while minimizing the amount of short cycles in the parity check matrices at all rates. Simulation results show that the proposed method greatly reduces the source coding rate compared to the standard LDPCA solution.