一种利用完备差集构造原模图QC-LDPC码的方法  

A Construction Method of the Protograph QC-LDPC Codes Using the Complete Difference Set

作　　者：袁建国[1] 郑德猛 尚晓娟[1] 胡潇月 郭乔[1] 吴英冬 YUAN Jianguo;ZHENG Demeng;SHANG Xiaojuan;HU Xiaoyue;GUO Qiao;WU Yingdong(Chongqing Key Lab. of Photoelectronic Information Sensing and Transmitting Teehnol. , Chongqing University of Posts and Telecomm. , Chongqing 400065, CH)

机构地区：[1]重庆邮电大学光电信息感测与传输技术重庆市重点实验室,重庆400065

出　　处：《半导体光电》2018年第2期268-271,275,共5页Semiconductor Optoelectronics

基　　金：国家自然科学基金项目(61472464;61671091;61471075);重庆市基础与前沿研究计划项目(cstc2015jcyjA40015);重庆市研究生科研创新项目(CYS17241);2016年重庆邮电大学大学生科研训练计划项目(A2016-61)

摘　　要：利用组合数学中的完备差集,对原模图提出了一种新颖的准循环低密度奇偶校验码(Quasi-Cyclic Low-Density Parity-Check,QC-LDPC)扩展方法。该方法能大幅降低编译码的复杂度,所得到的校验矩阵中不存在四环。仿真结果表明:利用该方法构造出的P-CDS-QC-LDPC(798,399)码,在BER为10-4时,对比基于完备差集构造的同码率CDS-QC-LDPC(1092,546)码,其净编码增益提高约0.24dB。在BER为10-5时,对比基于渐近边增长(Progressive EdgeGrowth,PEG)算法构造的同码率PEG-LDPC(900,450)码,其净编码增益提高约0.15dB。A novel method to expand the protograph was proposed by using the complete difference set of the combinational mathematics of quasi-cyclic low-density parity-check（QCLDPC）codes.The proposed method can largely reduce the encoding/decoding complexity,and there is no 4-cycle in the constructed check matrix.Simulation results show that the net coding gain（NCG）of the P-CDS-QC-LDPC（798,399）code constructed with the proposed method is about 0.24 dB higher than that of the CDS-QC-LDPC（1092,546）code with the same code rate constructed with the method based on complete difference set at the bit error rate（BER）of 10-4.And the NCG of the proposed QC-LDPC codes is about 0.15 dB higher than that of the PEGLDPC（900,450）code with the same code rate constructed by the classic construction method based on the progressive edge-growth（PEG）at the BER of 10-5.

关 键 词：完备差集 原模图 准循环低密度奇偶校验码 误码率 

分 类 号：TN911.22[电子电信—通信与信息系统]