In this paper,generalized sparse(GS)codes are proposed to support reliable and efficient transmission over non-Gaussian channels.Specifically,by expanding the single-parity check(SPC)code constraints with powerful alg...In this paper,generalized sparse(GS)codes are proposed to support reliable and efficient transmission over non-Gaussian channels.Specifically,by expanding the single-parity check(SPC)code constraints with powerful algebraic codes,GS codes generalize conventional sparse codes with enhanced error-correcting capability,as well as better code design flexibility by covering a wide range of block-lengths and coding rates with reduced encoding/decoding complexity.Moreover,by introducing a universal communication channel model,a general framework for performance analysis and code design of GS codes is formulated,by which the coding parameters can be optimized for different target channel conditions.Finally,example codes are constructed for several critical application scenarios with non-Gaussian channels.Numerical simulations are performed to demonstrate the superiority of the proposed GS coding scheme to traditional channel coding schemes.展开更多
针对DVB-S2(Digital Video Broadcasting-Satellite 2)标准低密度奇偶校验(LDPC)码的识别问题,提出了基于稀疏校验的快速识别方法。基于LDPC码编码矩阵的稀疏性,只有少量校验位和信息位有校验关系,因此只需要对少量的信息位进行校验即...针对DVB-S2(Digital Video Broadcasting-Satellite 2)标准低密度奇偶校验(LDPC)码的识别问题,提出了基于稀疏校验的快速识别方法。基于LDPC码编码矩阵的稀疏性,只有少量校验位和信息位有校验关系,因此只需要对少量的信息位进行校验即可。遍历不同的生成矩阵,并对多个码字的校验结果进行累积,通过对其校验累积量的分布特点实现不同码率LDPC码的识别。由于只采用了很少的信息位进行校验,因此算法计算量小,同时可以有效减少误码带来的影响。仿真结果表明所提算法有效且可以适应15%以上的误码,完全可以满足实际系统对LDPC码的检测需求。展开更多
A new method for the construction of the high performance systematic irregular low-density paritycheck （LDPC） codes based on the sparse generator matrix （G-LDPC） is introduced. The code can greatly reduce the enco...A new method for the construction of the high performance systematic irregular low-density paritycheck （LDPC） codes based on the sparse generator matrix （G-LDPC） is introduced. The code can greatly reduce the encoding complexity while maintaining the same decoding complexity as traditional regular LDPC （H-LDPC） codes defined by the sparse parity check matrix. Simulation results show that the performance of the proposed irregular LDPC codes can offer significant gains over traditional LDPC codes in low SNRs with a few decoding iterations over an additive white Gaussian noise （AWGN） channel.展开更多
基金This work was supported by the National Natural Science Foundation of China(Grants No.62025110 and 62101308).
文摘In this paper,generalized sparse(GS)codes are proposed to support reliable and efficient transmission over non-Gaussian channels.Specifically,by expanding the single-parity check(SPC)code constraints with powerful algebraic codes,GS codes generalize conventional sparse codes with enhanced error-correcting capability,as well as better code design flexibility by covering a wide range of block-lengths and coding rates with reduced encoding/decoding complexity.Moreover,by introducing a universal communication channel model,a general framework for performance analysis and code design of GS codes is formulated,by which the coding parameters can be optimized for different target channel conditions.Finally,example codes are constructed for several critical application scenarios with non-Gaussian channels.Numerical simulations are performed to demonstrate the superiority of the proposed GS coding scheme to traditional channel coding schemes.
文摘针对DVB-S2(Digital Video Broadcasting-Satellite 2)标准低密度奇偶校验(LDPC)码的识别问题,提出了基于稀疏校验的快速识别方法。基于LDPC码编码矩阵的稀疏性,只有少量校验位和信息位有校验关系,因此只需要对少量的信息位进行校验即可。遍历不同的生成矩阵,并对多个码字的校验结果进行累积,通过对其校验累积量的分布特点实现不同码率LDPC码的识别。由于只采用了很少的信息位进行校验,因此算法计算量小,同时可以有效减少误码带来的影响。仿真结果表明所提算法有效且可以适应15%以上的误码,完全可以满足实际系统对LDPC码的检测需求。
文摘A new method for the construction of the high performance systematic irregular low-density paritycheck （LDPC） codes based on the sparse generator matrix （G-LDPC） is introduced. The code can greatly reduce the encoding complexity while maintaining the same decoding complexity as traditional regular LDPC （H-LDPC） codes defined by the sparse parity check matrix. Simulation results show that the performance of the proposed irregular LDPC codes can offer significant gains over traditional LDPC codes in low SNRs with a few decoding iterations over an additive white Gaussian noise （AWGN） channel.
