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| 优化循环转移矩阵偏移量的QC-LDPC码构造 | |
| 引用本文： | 郑,健,别红霞,类春阳,张雪坤,房,明.优化循环转移矩阵偏移量的QC-LDPC码构造[J].北京邮电大学学报,2014,37(1):16-19. |
| 作者姓名： | 郑 健 别红霞 类春阳 张雪坤 房 明 |
| 作者单位： | 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 |
| 基金项目： | 国家自然科学基金项目(41174158);中国国家公益研究项目(201011081-4) |
| 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 |
| 收稿时间： | 2013-05-20 |
A Construction Algorithm with Optimized Shift Value of Circulant Permutation Matrix for QC-LDPC Codes |
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| ZHENG Jian,BIE Hong-xia,LEI Chun-yang,ZHANG Xue-kun,FANG Ming.A Construction Algorithm with Optimized Shift Value of Circulant Permutation Matrix for QC-LDPC Codes[J].Journal of Beijing University of Posts and Telecommunications,2014,37(1):16-19. | |
| Authors: | ZHENG Jian BIE Hong-xia LEI Chun-yang ZHANG Xue-kun FANG Ming |
| Affiliation: | 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 |
| 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. |
| Keywords: | 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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