基于Fibonacci-Lucas序列构造大围长QC-LDPC码的方法  

Construction method of large girth QC-LDPC codes based on Fibonacci-Lucas sequence

作　　者：袁建国[1] 曾晶 袁梦 范福卓 刘家齐 郑德猛 YUAN Jianguo;ZENG Jing;YUAN Meng;FAN Fuzhuo;ZHENG Demeng(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）》2018年第4期505-510,共6页Journal of Chongqing University of Posts and Telecommunications(Natural Science Edition)

基　　金：国家自然科学基金(61472464);重庆市基础与前沿研究计划(cstc2015jcyjA40015);重庆市研究生科研创新项目(CYS17241);2018重庆邮电大学大学生科研训练计划~~

摘　　要：基于斐波那契-卢卡斯序列并结合三角旋转法提出一种围长至少为8的斐波那契-卢卡斯准循环低密度奇偶校验(fibonacci-lucas quasi-cyclic low-density parity-check,F-L-QC-LDPC)码的构造方法。该方法所构造的F-LQC-LDPC码不存在四环和六环,计算复杂度低,硬件实现简单且节省硬件存储空间,具有优秀的纠错性能。仿真结果表明,当误码率(bit error rate,BER)为10-6时,该方法所构造的码长为2 700且码率为0.5的码型,相较于基于Fibonacci数列并结合三角旋转法构造的同码长码率的QC-LDPC(2 700,1 352)码,净编码增益(net coding gain,NCG)提高了约1.0 d B,相较于基于卢卡斯数列大围长构造方法构造的QC-LDPC(2 700,1 353)码,NCG提高了约1.6 d B。且同样条件下,该方法构造的码长为2 580且码率为0.5的码型与基于等差数列构造的QC-LDPC(2 580,1 292)码相比,NCG提高了约1.0 d B。Based on the Fibonacci-Lucas sequence and combined with a triangle rotation construction method,a construction way of Fibonacci-Lucas quasi-cyclic low-density parity-check(F-L-QC-LDPC)codes with the girth not less than eight is put forward.There is no girth-4 and girth-6 in the F-L-QC-LDPC codes constructed by the way,and the proposed construction method can reduce the computational complexity,easily realize the hardware storage space saving and the hardware implementation and has the more excellent error-correction performance.The simulation results reflect that at the bit error rate(BER)of 10-6,the net coding gain of the F-L-QC-LDPC code with the code-length of 2 700 and code-rate of 0.5 is about 1.0 dB more than that of the QC-LDPC(2 700,1 352)code with the same code-length and code-rate based on Fibonacci sequence and used by the triangle rotation construction method.Furthermore,the net coding gain of the F-L-QC-LDPC code is about 1.6 dB more than that of the large girth QC-LDPC(2 700,1 353)code based on Lucas sequences.In addition,the net coding gain of the F-L-QC-LDPC code with the code-length of 2 580 and code-rate of 0.5 is about 1.0 dB more than that of the QC-LDPC(2 580,1 292)code based on arithmetic progression sequence at the same condition.

关 键 词：斐波那契-卢卡斯序列 准循环低密度奇偶校验(QC-LDPC)码 误码率(BER) 净编码增益(NCG) 

分 类 号：TN911[电子电信—通信与信息系统]