Study of Structured Root-LDPC Codes and PEG Techniques for Block-Fading Channels

TL;DR

This paper introduces structured Root-LDPC codes designed with PEG techniques for block-fading channels, demonstrating significant performance improvements and diversity gains over standard LDPC codes.

Contribution

It proposes novel Quasi-Cyclic, Irregular repeat-accumulate, and Controlled Doping Root-LDPC codes tailored for multiple fading scenarios using PEG-based design.

Findings

Root-LDPC codes outperform standard LDPC codes in FER.

PEG-based Root-LDPC codes achieve 7.5 dB gain at FER of 10^{-3} for F=2.

Codes effectively exploit channel diversity.

Abstract

In this work, we propose structured Root-Low-Density Parity-Check (LDPC) codes and design techniques for block-fading channels. In particular, Quasi-Cyclic Root-LDPC codes, Irregular repeat-accumulate Root-LDPC codes and Controlled Doping Root-LDPC codes based on Progressive Edge Growth (PEG) techniques for block-fading channels are proposed. The proposed Root-LDPC codes are both suitable for channels under $F = 2, 3$ and $4$ independent fading per codeword. The performance of the proposed codes is investigated in terms of Frame Error Rate (FER). The proposed Root-LDPC codes are capable of achieving the channel diversity and outperform standard LDPC codes. For block-fading channel with $F = 2$ our proposed PEG-based Root-LDPC codes outperform PEG-based LDPC codes by $7.5$dB at a FER close to $10^{-3}$.