Systematic GLDPC Codes with Zigzag Component Codes

LI Jian-dong; GUO Kai; CHEN Yan-hui

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Systematic GLDPC Codes with Zigzag Component Codes

更新时间：2025-07-16

- Systematic GLDPC Codes with Zigzag Component Codes
- Acta Electronica Sinica Vol. 39, Issue 1, Pages: 178-183(2011)
- 作者机构：
  
  西安电子科技大学,综合业务网理论与关键技术国家重点实验室信息科学研究所,陕西,西安,710071
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911.22
- Published：2011
- 稿件说明：
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LI Jian-dong, GUO Kai, CHEN Yan-hui. Systematic GLDPC Codes with Zigzag Component Codes[J]. Acta Electronica Sinica, 2011, 39(1): 178-183.
DOI：

LI Jian-dong, GUO Kai, CHEN Yan-hui. Systematic GLDPC Codes with Zigzag Component Codes[J]. Acta Electronica Sinica, 2011, 39(1): 178-183. DOI：

摘要

本文以规则低密度生成矩阵码为基础

构建了一种以之型码为分量码的系统广义低密度奇偶校验(Generalized Low-Density Parity-Check

GLDPC)码

称为ZS-GLDPC码.该码具有线性编码复杂度

可采用和积译码算法实现迭代译码

其译码复杂度低于以汉明码为分量码的GLDPC码.在均匀交织器的前提下

利用联合界分析了该码在高信噪比区域的平均误比特概率

然后利用基于高斯近似的密度进化方法分析了该码的迭代译码收敛门限.仿真结果表明

中短码长的ZS-GLDPC码的性能优于或近于LDPC码和以汉明码为分量码的GLDPC码.

Abstract

A class of systematic generalized low-density parity-check (GLDPC) codes with zigzag codes as component codes

termed ZS-GLDPC codes

is proposed on the basis of regular low-density generator matrix (LDGM) codes.The proposed codes have linear encoding complexity

and can be decoded by the sum-product algorithm iteratively.The decoding complexity of ZS-GLDPC codes is lower than GLDPC codes with Hamming component codes.Based on the uniform interleaver assumption

a union bound analysis of the bit error probability was presented for ZS-GLDPC codes when Signal-to-Noise Ratio is high.Density evolution using the Gaussian Approximation was used to analyze the convergence thresholds of ZS-GLDPC codes.Simulation results show that the bit error rate of ZS-GLDPC codes is better than or close to LDPC codes and GLDPC codes with Hamming component codes for short and medium code length.

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