基于迭代译码的LDPC码稀疏校验矩阵重建  

Reconstruction of sparse parity-check matrix of LDPC codes based on iterative decoding

作　　者：钟兆根 刘仁鑫 张立民 但波 刘杰 ZHONG Zhaogen;LIU Renxin;ZHANG Limin;DAN Bo;LIU Jie(Department of Electronic Basis,Naval Aviation University,Yantai 264001,China;Research Institute of Information Fusion,Naval Aviation University,Yantai 264001,China;The School of Coastal Defense,Naval Aviation University,Yantai 264001,China;Acadamy of PLA Military Sciences,Beijing 100191,China)

机构地区：[1]海军航空大学电子基础教研室,烟台264001 [2]海军航空大学信息融合研究所,烟台264001 [3]海军航空大学岸防兵学院,烟台264001 [4]中国人民解放军军事科学院,北京100191

出　　处：《北京航空航天大学学报》2021年第12期2623-2631,共9页Journal of Beijing University of Aeronautics and Astronautics

基　　金：国家自然科学基金(91538201);泰山学者工程专项(201511020);信息系统安全技术重点实验室基金资助项目(6142111190404)。

摘　　要：为了改善高误码率情况下低密度奇偶校验(LDPC)码稀疏校验矩阵重建算法的性能,基于迭代译码的思想提出了一种稀疏校验矩阵的重建算法。首先,利用对偶空间算法获取到部分非稀疏校验向量,并对其进行稀疏化处理。其次,利用稀疏化后的校验向量对LDPC码进行软判决迭代译码,从而对码字中错误比特进行纠正,以改善码字质量。然后,对纠错后码字再次进行校验向量获取,不断重复迭代。最后,实现LDPC码稀疏校验矩阵的重建。实验结果表明:在误码率为10;量级下,针对IEEE802.16e、IEEE802.11n等协议下的LDPC码,所提算法均能有效完成重建,同时新算法的稀疏矩阵重建率要明显好于传统方法。In order to improve the performance of Low Density Parity Check(LDPC)code sparse parity-check matrix reconstruction algorithm under high error rate,this paper proposes a sparse parity-check matrix reconstruction algorithm based on the idea of iterative decoding.First,the dual space algorithm is used to obtain part of non-sparse check vector and make it sparse.Second,the sparse check vector is used to perform soft-decision iterative decoding of the LDPC code,thereby correcting the error bits in the codeword to improve the quality of the codeword.Then,the check vector is obtained again for the codeword after error correction.Finally,with repeated iteration,the reconstruction of the sparse parity-check matrix of the LDPC code is realized.The experimental results show that the algorithm in this paper can effectively complete the reconstruction of LDPC codes under IEEE802.16 e,IEEE802.11 n and other protocols at a bit error rate of 10;,and the sparse parity-check matrix reconstruction rate of the proposed algorithm is significantly better than that of traditional methods.

关 键 词：低密度奇偶校验码 迭代译码 校验向量 稀疏检验矩阵 重建 

分 类 号：TN911.7[电子电信—通信与信息系统]