In this paper, we conclude five kinds of methods for construction of the regular low-density parity matrix H and three kinds of methods for the construction of irregular low-density parity-check matrix H. Through the ...In this paper, we conclude five kinds of methods for construction of the regular low-density parity matrix H and three kinds of methods for the construction of irregular low-density parity-check matrix H. Through the analysis of the code rate and parameters of these eight kinds of structures, we find that the construction of low-density parity-check matrix tends to be more flexible and the parameter variability is enhanced. We propose that the current development cost should be lower with the progress of electronic technology and we need research on more practical Low-Density Parity-Check Codes (LDPC). Combined with the application of the quantum distribution key, we urgently need to explore the research direction of relevant theories and technologies of LDPC codes in other fields of quantum information in the future.展开更多
利用多边缘二分图代替传统的三分图,实现对低密度生成矩阵码(Low density generator matrix codes,LDGM码)的描述。基于多边缘二分图,提出多边缘置信度传播算法和滤波衰减消解方法,实现基于LDGM码的二进制信息压缩编码。仿真结果表明,...利用多边缘二分图代替传统的三分图,实现对低密度生成矩阵码(Low density generator matrix codes,LDGM码)的描述。基于多边缘二分图,提出多边缘置信度传播算法和滤波衰减消解方法,实现基于LDGM码的二进制信息压缩编码。仿真结果表明,该算法具有近香农限的压缩性能,并具有较低的复杂度。展开更多
针对压缩感知(CS)中由观测噪声引起的信号重建误差问题,提出利用非相关性约束理论作为衡量压缩重建条件的重构误差向量的方法。该方法基于线性分组码中稀疏校验矩阵的零化子特性,建立了以误差向量为目标信号的线性规划问题,实现了低密...针对压缩感知(CS)中由观测噪声引起的信号重建误差问题,提出利用非相关性约束理论作为衡量压缩重建条件的重构误差向量的方法。该方法基于线性分组码中稀疏校验矩阵的零化子特性,建立了以误差向量为目标信号的线性规划问题,实现了低密度奇偶校验(LDPC)码的压缩感知重构。仿真结果表明:在加性高斯白噪声信道和原对偶内点算法下,选取的3种LDPC码均具备较强的信号重构能力,其中Mac Kay随机码的相关性系数较小,因此在信噪比为-1 d B时就可达到100%的误差向量重构成功率。同时表明在满足误比特率要求下,CS-LDPC码可使系统实现低信噪比下的高可靠性通信。展开更多
针对准循环低密度奇偶校验(QC-LDPC)码中准循环基矩阵的移位系数确定问题,该文提出基于等差数列(AP)的确定方法。该方法构造的校验矩阵的围长至少为8,移位系数由简单的数学表达式确定,节省了编解码存储空间。研究结果表明,该方法对码长...针对准循环低密度奇偶校验(QC-LDPC)码中准循环基矩阵的移位系数确定问题,该文提出基于等差数列(AP)的确定方法。该方法构造的校验矩阵的围长至少为8,移位系数由简单的数学表达式确定,节省了编解码存储空间。研究结果表明,该方法对码长和码率参数的设计具有较好的灵活性。同时表明在加性高斯白噪声(AWGN)信道和置信传播(BP)译码算法下,该方法构造的码字在码长为1008、误比特率为510-时,信噪比优于渐进边增长(PEG)码近0.3 d B。展开更多
文摘In this paper, we conclude five kinds of methods for construction of the regular low-density parity matrix H and three kinds of methods for the construction of irregular low-density parity-check matrix H. Through the analysis of the code rate and parameters of these eight kinds of structures, we find that the construction of low-density parity-check matrix tends to be more flexible and the parameter variability is enhanced. We propose that the current development cost should be lower with the progress of electronic technology and we need research on more practical Low-Density Parity-Check Codes (LDPC). Combined with the application of the quantum distribution key, we urgently need to explore the research direction of relevant theories and technologies of LDPC codes in other fields of quantum information in the future.
文摘利用多边缘二分图代替传统的三分图,实现对低密度生成矩阵码(Low density generator matrix codes,LDGM码)的描述。基于多边缘二分图,提出多边缘置信度传播算法和滤波衰减消解方法,实现基于LDGM码的二进制信息压缩编码。仿真结果表明,该算法具有近香农限的压缩性能,并具有较低的复杂度。
文摘针对压缩感知(CS)中由观测噪声引起的信号重建误差问题,提出利用非相关性约束理论作为衡量压缩重建条件的重构误差向量的方法。该方法基于线性分组码中稀疏校验矩阵的零化子特性,建立了以误差向量为目标信号的线性规划问题,实现了低密度奇偶校验(LDPC)码的压缩感知重构。仿真结果表明:在加性高斯白噪声信道和原对偶内点算法下,选取的3种LDPC码均具备较强的信号重构能力,其中Mac Kay随机码的相关性系数较小,因此在信噪比为-1 d B时就可达到100%的误差向量重构成功率。同时表明在满足误比特率要求下,CS-LDPC码可使系统实现低信噪比下的高可靠性通信。
文摘针对准循环低密度奇偶校验(QC-LDPC)码中准循环基矩阵的移位系数确定问题,该文提出基于等差数列(AP)的确定方法。该方法构造的校验矩阵的围长至少为8,移位系数由简单的数学表达式确定,节省了编解码存储空间。研究结果表明,该方法对码长和码率参数的设计具有较好的灵活性。同时表明在加性高斯白噪声(AWGN)信道和置信传播(BP)译码算法下,该方法构造的码字在码长为1008、误比特率为510-时,信噪比优于渐进边增长(PEG)码近0.3 d B。
