Density Evolution Analysis of Spatially Coupled LDPC Codes Over BIAWGN Channel

TL;DR

This paper presents new approximation techniques for analyzing the decoding performance of spatially coupled LDPC codes over BIAWGN channels, achieving accurate threshold predictions with lower computational complexity.

Contribution

It introduces averaging methods based on reciprocal and Gaussian approximations for density evolution, improving efficiency over existing multi-edge-type methods.

Findings

Proposed techniques closely predict decoding thresholds.

Reduced complexity compared to multi-edge-type density evolution.

Effective analysis for spatially coupled LDPC codes over BIAWGN channels.

Abstract

In this paper, we study the density evolution analysis of spatially coupled low-density parity-check (SC-LDPC) codes over binary input additive white Gaussian noise (BIAWGN) channels under the belief propagation (BP) decoding algorithm. Using reciprocal channel approximation and Gaussian approximation, we propose averaging techniques for the density evolution of SC-LDPC codes over BIAWGN channels. We show that the proposed techniques can closely predict the decoding threshold while offering reduced complexity compared to the existing multi-edge-type density evolution.