基于围长约束与EMD的低错误平层LDPC码构造方法  

Construction method of LDPC codes based on girth constraintand EMD with the low error floor

作　　者：袁建国[1] 王宏森 张希瑞 范福卓 袁梦 YUAN Jianguo;WANG Hongsen;ZHANG Xirui;FAN Fuzhuo;YUAN Meng(Key Laboratory of Optical Communication and Networks,Chongqing University of Posts and Telecommunications,Chongqing 400065,P.R.China)

机构地区：[1]重庆邮电大学光通信与网络重点实验室,重庆400065

出　　处：《重庆邮电大学学报（自然科学版）》2021年第1期67-72,共6页Journal of Chongqing University of Posts and Telecommunications(Natural Science Edition)

基　　金：国家自然科学基金(61471075);重庆市教委科学技术研究项目(KJQN201800607);重庆邮电大学大学生科研训练计划项目(A2018-66)。

摘　　要：针对低密度奇偶校验(low-density parity-check,LDPC)码在高信噪比区域可能存在错误平层的缺点,利用渐进边增长(progressive edge growth,PEG)算法的思想,基于围长约束和额外信息度(extrinsic message degree,EMD)提出了一种围长为8的LDPC码构造方法,该方法所构造的PEG-GA-EMD(PGAE)-LDPC码不存在四环和六环且具有优越的纠错性能。仿真结果表明,该方法所构造的码率分别为0.5和0.67的PEG-GA-EMD(PGAE)-LDPC(3024,1512)码和PGAE-LDPC(1200,800)码能有效改善高信噪比区域的纠错性能,且未出现明显的错误平层。In order to solve the shortcomings that there may be an error floor of low-density parity-check(LDPC)codes in the higher signal-to-noise ratio(SNR)region,a new construction method of LDPC codes with girth-8 is proposed with the idea of the progressive edge growth(PEG)algorithm based on the girth constraints and extrinsic message degree(EMD).There is no girth-4 and girth-6 in the PEG-GA-EMD(PGAE)-LDPC codes with excellent error correction performance constructed by the proposed construction method.The simulation results show that the PGAE-LDPC(3024,1512)code with code-rate of 0.5 and the PGAE-LDPC(1200,800)code with code-rate of 0.67 constructed by the construction method can effectively improve the error correction performance of the higher SNR region without the obvious error floor.

关 键 词：低密度奇偶校验(LDPC)码 渐进边增长(PEG)算法 额外信息度(EMD) 错误平层 

分 类 号：TN911[电子电信—通信与信息系统]