Improved LT Codes in Low Overhead Regions for Binary Erasure Channels

TL;DR

This paper introduces an improved degree distribution for LT codes that enhances error performance in low overhead regions and reduces complexity, applicable to various network scenarios.

Contribution

The paper proposes a modified Robust Soliton distribution for LT codes, improving low overhead performance and extending application to relay networks and unequal error protection.

Findings

Enhanced bit error rate in low overhead regions

Better frame error rate in full recovery scenarios

Reduced complexity compared to conventional schemes

Abstract

We study improved degree distribution for Luby Transform (LT) codes which exhibits improved bit error rate performance particularly in low overhead regions. We construct the degree distribution by modifying Robust Soliton distribution. The performance of our proposed LT codes is evaluated and compared to the conventional LT codes via And-Or tree analysis. Then we propose a transmission scheme based on the proposed degree distribution to improve its frame error rate in full recovery regions. Furthermore, the improved degree distribution is applied to distributed multi-source relay networks and unequal error protection. It is shown that our schemes achieve better performance and reduced complexity especially in low overhead regions, compared with conventional schemes.