Decoding by alternating direction method of multipliers(ADMM) is a promising linear programming decoder for low-density parity-check(LDPC) codes. In this paper, we propose a two-step scheme to lower the error floor of...Decoding by alternating direction method of multipliers(ADMM) is a promising linear programming decoder for low-density parity-check(LDPC) codes. In this paper, we propose a two-step scheme to lower the error floor of LDPC codes with ADMM penalized decoder.For the undetected errors that cannot be avoided at the decoder side, we modify the code structure slightly to eliminate low-weight code words. For the detected errors induced by small error-prone structures, we propose a post-processing method for the ADMM penalized decoder. Simulation results show that the error floor can be reduced significantly over three illustrated LDPC codes by the proposed two-step scheme.展开更多
This paper proposes a raptor-like low-density parity-check(RL-LDPC)code design together with the corresponding decoder hardware architecture aiming at next-generation mobile communication.A new kind of protograph diff...This paper proposes a raptor-like low-density parity-check(RL-LDPC)code design together with the corresponding decoder hardware architecture aiming at next-generation mobile communication.A new kind of protograph different from the 5G new radio(NR)LDPC basic matrix is presented,and a code construction algorithm is proposed to improve the error-correcting performance.A multi-core layered decoder architecture that supports up to 100 Gbit/s throughput is designed based on the special protograph structure.展开更多
激光在大气信道中传输时易受到大气湍流等影响,导致接收机对开关键控(On-Off Keying,OOK)信号发生错误判决,进而产生误码率门限,严重恶化了自由空间光通信(Fee Space Optical Communication,FSOC)的传输性能。采用自适应阈值进行判决虽...激光在大气信道中传输时易受到大气湍流等影响,导致接收机对开关键控(On-Off Keying,OOK)信号发生错误判决,进而产生误码率门限,严重恶化了自由空间光通信(Fee Space Optical Communication,FSOC)的传输性能。采用自适应阈值进行判决虽然能抑制误码率门限,但是需已知比特级(ns级)的信道状态信息(Channel State Information,CSI),在高速激光通信中难以实现。基于大气信道的缓慢变化特征,对接收信号按照亚毫秒级时隙(0.01 ms级)进行分段检测,降低了高速信号的检测难度,并通过优化误码率求解出了最佳的分段阈值,从而抑制了误码率门限现象。与此同时,提出了正交偏振态导频光与信号光同传的系统方案,以估计大气信道模型与接收信号的分段阈值。仿真结果表明,在Log-Normal大气信道模型下,该方法虽然引入了3~6 dB的光功率损耗,但是有效抑制了误码率门限,且仅需估计毫秒级的CSI,降低了阈值判决的实现难度。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
Two new design approaches for constructing Low-Density Parity-Check(LDPC) codes are proposed.One is used to design regular Quasi-Cyclic LDPC(QC-LDPC) codes with girth at least 8.The other is used to design irregular L...Two new design approaches for constructing Low-Density Parity-Check(LDPC) codes are proposed.One is used to design regular Quasi-Cyclic LDPC(QC-LDPC) codes with girth at least 8.The other is used to design irregular LDPC codes.Both of their parity-check matrices are composed of Circulant Permutation Matrices(CPMs).When iteratively decoded with the Sum-Product Algorithm(SPA),these proposed codes exhibit good performances over the AWGN channel.展开更多
基金supported in part by National Nature Science Foundation of China under Grant No.61471286,No.61271004the Fundamental Research Funds for the Central Universitiesthe open research fund of Key Laboratory of Information Coding and Transmission,Southwest Jiaotong University(No.2010-03)
文摘Decoding by alternating direction method of multipliers(ADMM) is a promising linear programming decoder for low-density parity-check(LDPC) codes. In this paper, we propose a two-step scheme to lower the error floor of LDPC codes with ADMM penalized decoder.For the undetected errors that cannot be avoided at the decoder side, we modify the code structure slightly to eliminate low-weight code words. For the detected errors induced by small error-prone structures, we propose a post-processing method for the ADMM penalized decoder. Simulation results show that the error floor can be reduced significantly over three illustrated LDPC codes by the proposed two-step scheme.
基金supported in part by ZTE Industry-University-Institute Coop⁃eration funds under Grant No.2020ZTE01-03.
文摘This paper proposes a raptor-like low-density parity-check(RL-LDPC)code design together with the corresponding decoder hardware architecture aiming at next-generation mobile communication.A new kind of protograph different from the 5G new radio(NR)LDPC basic matrix is presented,and a code construction algorithm is proposed to improve the error-correcting performance.A multi-core layered decoder architecture that supports up to 100 Gbit/s throughput is designed based on the special protograph structure.
文摘激光在大气信道中传输时易受到大气湍流等影响,导致接收机对开关键控(On-Off Keying,OOK)信号发生错误判决,进而产生误码率门限,严重恶化了自由空间光通信(Fee Space Optical Communication,FSOC)的传输性能。采用自适应阈值进行判决虽然能抑制误码率门限,但是需已知比特级(ns级)的信道状态信息(Channel State Information,CSI),在高速激光通信中难以实现。基于大气信道的缓慢变化特征,对接收信号按照亚毫秒级时隙(0.01 ms级)进行分段检测,降低了高速信号的检测难度,并通过优化误码率求解出了最佳的分段阈值,从而抑制了误码率门限现象。与此同时,提出了正交偏振态导频光与信号光同传的系统方案,以估计大气信道模型与接收信号的分段阈值。仿真结果表明,在Log-Normal大气信道模型下,该方法虽然引入了3~6 dB的光功率损耗,但是有效抑制了误码率门限,且仅需估计毫秒级的CSI,降低了阈值判决的实现难度。
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(Nos.61271199,61172022)
文摘Two new design approaches for constructing Low-Density Parity-Check(LDPC) codes are proposed.One is used to design regular Quasi-Cyclic LDPC(QC-LDPC) codes with girth at least 8.The other is used to design irregular LDPC codes.Both of their parity-check matrices are composed of Circulant Permutation Matrices(CPMs).When iteratively decoded with the Sum-Product Algorithm(SPA),these proposed codes exhibit good performances over the AWGN channel.
