北京邮电大学学报

  • EI核心期刊

北京邮电大学学报 ›› 2014, Vol. 37 ›› Issue (1): 16-19.doi: 10.13190/j.jbupt.2014.01.004

• 论文 • 上一篇    下一篇

优化循环转移矩阵偏移量的QC-LDPC码构造

郑健1,2, 别红霞1, 类春阳1, 张雪坤1, 房明1   

  1. 1. 北京邮电大学 信息与通信工程学院, 北京 100876;
    2. 遵义医学院 医学信息工程系, 贵州 遵义 563003
  • 收稿日期:2013-05-20 出版日期:2014-02-28 发布日期:2014-01-07
  • 作者简介:郑摇健(1979—),男,博士生,E-mail:dotopala@hotmail.com;别红霞(1971—),女,教授,博士生导师.
  • 基金资助:

    国家自然科学基金项目(41174158);中国国家公益研究项目(201011081-4)

A Construction Algorithm with Optimized Shift Value of Circulant Permutation Matrix for QC-LDPC Codes

ZHENG Jian1,2, BIE Hong-xia1, LEI Chun-yang1, ZHANG Xue-kun1, FANG Ming1   

  1. 1. School of Information and Communication Engineering, Beijing University of Posts and Telecommunications, Beijing 100876, China;
    2. Department of Medical Information Engineering, Zunyi Medical College, Guizhou Zunyi 563003, China
  • Received:2013-05-20 Online:2014-02-28 Published:2014-01-07

摘要:

提出了一种优化循环转移矩阵偏量候选集合的结构化准循环低密度奇偶校验(QC-LDPC)码构造算法. 通过研究基矩阵与校验矩阵之间环的关系,达到了减少QC-LDPC码校验矩阵中短环数量和围长最大化的目的. 仿真结果表明,基于该算法构造的QC-LDPC码的短环数量明显减少,围长至少可以达到6或8,误码率性能均得到了不同程度的提升.

关键词: 准循环低密度奇偶校验码, 基矩阵与校验矩阵之间环的关系, 循环转移矩阵偏移量优化, 围长

Abstract:

A construction algorithm with optimized shift value of circulant permutation matrix for quasi-cyclic low-density parity check (QC-LDPC) codes was presented. Through analyzing the cycle relationships between the basis matrix and the check matrix, the number of short cycles was reduced and the girth of check matrix in QC-LDPC code was maximized. The simulation results show that the girth of QC-LDPC codes constructed by proposed algorithm could at least extend to 6 or 8, while the number of short cycles was decreased significantly. In the end, the bit error rate performance was effectively improved.

Key words: quasi-cyclic low-density parity check codes, the relationship between the basis matrix and the check matrix, optimized shift value of circulant permutation matrix, girth

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