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
为降低LDPC(低密度奇偶校验码)码错误平层,提出一种基于环分类搜索的APPS-LDPC(数列分割移位的LDPC)码构造算法。该算法具有码长、码率和列重的任意可设性,同时该类码的Tanner图围长至少为8。循环移位因子可以通过简单的代数表达式描述...为降低LDPC(低密度奇偶校验码)码错误平层,提出一种基于环分类搜索的APPS-LDPC(数列分割移位的LDPC)码构造算法。该算法具有码长、码率和列重的任意可设性,同时该类码的Tanner图围长至少为8。循环移位因子可以通过简单的代数表达式描述,从而降低内存需求。仿真结果表明,当误码率达到10-5时,APPS-LDPC码(496,248)相对于PEG-LDPC(渐进边增长LDPC)码获得了约1.9 d B的性能提升;随着信噪比的升高,两条译码性能曲线之间的差距将更大。此外,列重为3的APPS-LDPC码(6144,5376)在信噪比4.6 d B以后并未出现明显的错误平层。该构造算法与PS-LDPC码相比,在误码率达到10-8时大约获得0.25 d B增益;与围长为4和6的PEG构造算法相比,在错误平层区域其译码性能极优;同时相较于此两者,其构造复杂度和耗时也展现出一定优势。通过基于Tanner图的诱捕集分析方法,统计APPS-LDPC码(496,248)中由8环组成的部分小型诱捕集并不存在,从而证明了其错误平层降低的原因。展开更多
Offset Shuffle Networks(OSNs) interleave a-posterior probability messages in the Block Row-Layered Decoder(BRLD) of QuasiCyclic Low-Density Parity-Check(QC-LDPC)codes.However,OSNs usually consume a significant amount ...Offset Shuffle Networks(OSNs) interleave a-posterior probability messages in the Block Row-Layered Decoder(BRLD) of QuasiCyclic Low-Density Parity-Check(QC-LDPC)codes.However,OSNs usually consume a significant amount of computational resources and limit the clock frequency,particularly when the size of the Circulant Permutation Matrix(CPM)is large.To simplify the architecture of the OSN,we propose a Simplified Offset Shuffle Network Block Progressive Edge-Growth(SOSNBPEG) algorithm to construct a class of QCLDPC codes.The SOSN-BPEG algorithm constrains the shift values of CPMs and the difference of the shift values in the same column by progressively appending check nodes.Simulation results indicate that the error performance of the SOSN-BPEG codes is the same as that of the codes in WiMAX and DVB-S2.The SOSNBPEG codes can reduce the complexity of the OSNs by up to 54.3%,and can improve the maximum frequency by up to 21.7%for various code lengths and rates.展开更多
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。
文摘为降低LDPC(低密度奇偶校验码)码错误平层,提出一种基于环分类搜索的APPS-LDPC(数列分割移位的LDPC)码构造算法。该算法具有码长、码率和列重的任意可设性,同时该类码的Tanner图围长至少为8。循环移位因子可以通过简单的代数表达式描述,从而降低内存需求。仿真结果表明,当误码率达到10-5时,APPS-LDPC码(496,248)相对于PEG-LDPC(渐进边增长LDPC)码获得了约1.9 d B的性能提升;随着信噪比的升高,两条译码性能曲线之间的差距将更大。此外,列重为3的APPS-LDPC码(6144,5376)在信噪比4.6 d B以后并未出现明显的错误平层。该构造算法与PS-LDPC码相比,在误码率达到10-8时大约获得0.25 d B增益;与围长为4和6的PEG构造算法相比,在错误平层区域其译码性能极优;同时相较于此两者,其构造复杂度和耗时也展现出一定优势。通过基于Tanner图的诱捕集分析方法,统计APPS-LDPC码(496,248)中由8环组成的部分小型诱捕集并不存在,从而证明了其错误平层降低的原因。
基金supported by the National Natural Science Foundation of China under Grant No.61071083
文摘Offset Shuffle Networks(OSNs) interleave a-posterior probability messages in the Block Row-Layered Decoder(BRLD) of QuasiCyclic Low-Density Parity-Check(QC-LDPC)codes.However,OSNs usually consume a significant amount of computational resources and limit the clock frequency,particularly when the size of the Circulant Permutation Matrix(CPM)is large.To simplify the architecture of the OSN,we propose a Simplified Offset Shuffle Network Block Progressive Edge-Growth(SOSNBPEG) algorithm to construct a class of QCLDPC codes.The SOSN-BPEG algorithm constrains the shift values of CPMs and the difference of the shift values in the same column by progressively appending check nodes.Simulation results indicate that the error performance of the SOSN-BPEG codes is the same as that of the codes in WiMAX and DVB-S2.The SOSNBPEG codes can reduce the complexity of the OSNs by up to 54.3%,and can improve the maximum frequency by up to 21.7%for various code lengths and rates.
