基于QR码和SPC码的双广义LDPC码构造及性能研究  

Construction and performance of double generalized LDPC codes based on QR codes and SPC codes

作　　者：黄柔 黎勇 HUANG Rou;LI Yong(School of Communication and Information Engineering,Chongqing University of Posts and Telecommunications,Chongqing 400065,P.R.China;School of Computer Science,Chongqing University,Chongqing 400044,P.R.China)

机构地区：[1]重庆邮电大学通信与信息工程学院,重庆400065 [2]重庆大学计算机学院,重庆400044

出　　处：《重庆邮电大学学报（自然科学版）》2022年第6期942-948,共7页Journal of Chongqing University of Posts and Telecommunications(Natural Science Edition)

基　　金：国家自然科学基金(61771081)。

摘　　要：为了降低低密度奇偶校验(low-density parity check,LDPC)码的错误平层,使其满足移动高清视频传输的极低误比特率(bit error rate,BER)要求,构造了一种基于平方剩余(quadratic residue,QR)码和单奇偶校验(single parity check,SPC)码的双广义LDPC(doubly-generalized LDPC,D-GLDPC)码。所构造的D-GLDPC码克服了有限码长的LDPC码性能不佳的问题以及广义LDPC(generalized LDPC,GLDPC)码的码率损失问题。基于QR码构造了准循环低密度奇偶校验(quasi cyclic LDPC,QC-LDPC)码,以QR码和SPC码作为分量码来构造D-GLDPC码,采用后验概率(a posteriori probability,APP)译码算法简化D-GLDPC码的译码。仿真结果表明,D-GLDPC码相比同码长同码率的LDPC码,在错误比特率和译码收敛速度上有明显的性能提升。In order to reduce the error level of low-density parity check(LDPC)codes and make them meet the requirements of very low bit error rate(BER)for mobile HD video transmission,we construct a doubly-generalized LDPC(D-GLDPC)code based on square residue(QR)code and single parity check(SPC)code.The constructed D-GLDPC codes overcome the poor performance of LDPC codes with finite code length and the rate loss of generalized LDPC(GLDPC)codes.Quasi cyclic LDPC(QC-LDPC)codes are constructed based on QR codes,and D-GLDPC codes are constructed using QR codes and SPC codes as component codes,and a posteriori probability(APP)decoding algorithm simplifies the decoding of D-GLDPC codes.Simulation results show that the D-GLDPC code has significant performance improvement in error bit rate and decoding convergence speed compared with LDPC code with the same code length and code rate.

关 键 词：平方剩余码 单奇偶校验码 准循环低密度奇偶校验码 双广义低密度奇偶校验码 

分 类 号：TN911.22[电子电信—通信与信息系统]