| QC-LDPC码的普适Kronecker积-逐步边增加算法 |
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| 引用本文： | 李思佳,毛玉泉,曹祥玉,裴鑫,尹忠海.QC-LDPC码的普适Kronecker积-逐步边增加算法[J].吉林大学学报(工学版),2013,43(1):244-249. |
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| 作者姓名： | 李思佳 毛玉泉 曹祥玉 裴鑫 尹忠海 |
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| 作者单位： | 1. 空军工程大学信息与导航学院,西安,710077
2. 西安电子科技大学CNIS教育部重点实验室,西安710071;空军工程大学理学院,西安710051 |
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| 基金项目： | 国家自然科学基金项目(60802053);陕西省电子信息系统综合集成重点实验室基金项目(201102Y05);空军工程大学电讯工程学院科研创新基金项目(DYCX1007);空军工程大学研究生创新项目(20110301) |
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| 摘 要： | 为了扩展QC-LDPC码的逐步边增加(Progressive edge-growth,PEG)算法,在分析Kronecker积和PEG基本算法的基础上,结合校验矩阵节点的度分布要求,提出了一种QC-LDPC码的Kronecker积-PEG普适算法。该算法通过引入Kronecker积实现基矩阵的构造,同时确定循环移位矩阵,进一步根据变量节点和校验节点的度分布要求完成了QC-LDPC码的设计,分析并证明了该算法的环长至少为girth-8。对算法性能进行了仿真验证,结果表明,该算法在保持QC-LDPC码低密度特征和良好误码性能的同时具有普适性。
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| 关 键 词： | 通信技术 逐步边增加算法 Kronecker积 QC-LDPC码 基矩阵 度分布 |
Universal PEG algorithm based on Kronecker product of matrices for constructing QC-LDPC codes |
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| LI Si-jia,MAO Yu-quan,CAO Xiang-yu,PEI Xin,YIN Zhong-hai.Universal PEG algorithm based on Kronecker product of matrices for constructing QC-LDPC codes[J].Journal of Jilin University:Eng and Technol Ed,2013,43(1):244-249. |
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| Authors: | LI Si-jia MAO Yu-quan CAO Xiang-yu PEI Xin YIN Zhong-hai |
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| Affiliation: | 2,3(1.College of Information and Navigation,Air Force Engineering University,Xi’an 710077,China;2.Key Lab of Computer Network and Information Security of Ministry of Education,Xidian University,Xi’an 710071,China;3.College of Science,Air Force Engineering University,Xi’an 710051,China) |
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| Abstract: | A universal Progressive Edge Growth(PEG) algorithm with the Kronecker product is proposed for constructing Quasi-Cyclic Low-Density Parity-Check(QC-LDPC) codes.The Kronecker product is introduced for constructing the basic matrix.The check matrix of QC-LDPC codes is designed based on the demand of the node degree distribution.It is proved that the girth of the check matrix is larger than Girth-8.Simulation results indicate that the proposed algorithm performs well to maintain the low density and bite error rate characters of the constructed QC-LDPC coeds.It can be used for the design of regular and irregular QC-LDPC coeds. |
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| Keywords: | communication progressive edge-growth(PEG) algorithm Kronecker product quasi-cyclic low-density parity-check codes basic matrix degree distribution |
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