一种高码率低复杂度准循环LDPC码设计研究

敬龙江; 林竞力; 朱维乐

doi:10.3724/SP.J.1146.2006.01738

一种高码率低复杂度准循环LDPC码设计研究

doi: 10.3724/SP.J.1146.2006.01738

基金项目:

韩国三星公司项目基金(HO4010201 WO20340)资助课题

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- 被引次数: 0
出版历程
- 收稿日期: 2006-11-06
- 修回日期: 2007-03-21
- 刊出日期: 2008-06-19

A Class of High-Rate Low-Complexity QC-LDPC Codes

摘要

摘要: 该文设计了一种特殊的高码率准循环低密度校验(QC-LDPC)码,其校验矩阵以单位矩阵的循环移位阵为基本单元,与随机构造的LDPC码相比可节省大量存储单元。利用该码校验矩阵的近似下三角特性,一种高效的递推编码方法被提出,它使得该码编码复杂度与码长成线性关系。另外,该文提出一种分析QC-LDPC码二分图中短长度环分布情况的方法,并且给出了相应的不含长为4环QC-LDPC码的构造方法。计算机仿真结果表明,新码不但编码简单,而且具有高纠错能力、低误码平层。
- QC-LDPC码; BP迭代译码; 高效编码; 二分图
Abstract: This paper proposes a class of Quasi-Cyclic Low-Density Parity-Check (QC-LDPC) codes with high code rates, which is an efficient encoding algorithm due to the almost lower triangular form and simple structure of their parity-check matrices. Since the parity-check matrix of the QC-LDPC code is composed of blocks of circulant matrices, the required memory for storing it can be significantly reduced, compared with randomly constructed LDPC codes. Based on the quasi-cyclic structure of the parity-check matrix, a new approach is proposed to analyze the distribution of the short length cycles of their bipartite graph, and a corresponding construction method of QC-LDPC codes without cycles of length 4 is presented. Simulation results show that the proposed codes not only have low encoding complexity and low error floor but also perform well with iterative decoding.

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参考文献(1)

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