码率兼容空间耦合LDPC码设计  

Design of Rate-compatible Spatially Coupled LDPC Codes

作　　者：石双颖 周华[1] 谢莉 SHI Shuangying;ZHOU Hua;XIE Li(School of Electronic&Information Engineering,Nanjing University of Information Science&Technology,Nanjing 210044)

机构地区：[1]南京信息工程大学电子与信息工程学院,南京210044

出　　处：《计算机与数字工程》2025年第2期469-473,共5页Computer & Digital Engineering

基　　金：国家自然科学基金项目(编号:61771248)资助。

摘　　要：论文提出了一种码率兼容的空间耦合低密度奇偶校验(Spatially Coupled Low Density Parity-Check,SC-LDPC)码的构造方法,通过扩展矩阵的方式实现码率兼容。论文保持信息位不变,对校验位进行扩展,采用渐近边增长(Progres-sive Edge-Growth,PEG)算法生成母码矩阵,扩展矩阵采用5G中的部分矩阵进行构造。在此基础上,通过算法为矩阵中的非零元素赋值以尽可能消除短环。仿真结果表明,与PEG构造的同码率、同码长的LDPC码相比,所提出的码率兼容SC-LD-PC码译码性能有一定的提升,特别是在高码率下,编码增益提高更为明显。In this paper,a rate-compatible spatially coupled low density parity-check(SC-LDPC)codes construction meth⁃od is proposed,which achieves rate compatibility by means of an extended matrix.In this paper,the information bits are kept un⁃changed and the check bits are expanded.The progressive edge-growth(PEG)algorithm is used to generate the mother code ma⁃trix,and the extended matrix is constructed using part of the matrix in 5G.Based on this,the non-zero elements of the matrix are as⁃signed values by the algorithm to eliminate short cycles as far as possible.Simulation results show that the proposed rate-compatible SC-LDPC codes have a certain improvement in decoding performance compared with the PEG-constructed LDPC codes of the same rate and block length,especially at high rates,the coding gain is improved significantly.

关 键 词：SC-LDPC码 码率兼容 矩阵扩展 误码率 

分 类 号：TN911.22[电子电信—通信与信息系统]