摘要
According to the requirements of the increasing development for optical transmission systems,a novel construction method of quasi-cyclic low-density parity-check(QC-LDPC) codes based on the subgroup of the finite field multiplicative group is proposed.Furthermore,this construction method can effectively avoid the girth-4 phenomena and has the advantages such as simpler construction,easier implementation,lower encoding/decoding complexity,better girth properties and more flexible adjustment for the code length and code rate.The simulation results show that the error correction performance of the QC-LDPC(3 780,3 540) code with the code rate of 93.7% constructed by this proposed method is excellent,its net coding gain is respectively 0.3dB,0.55dB,1.4dB and 1.98dB higher than those of the QC-LDPC(5 334,4 962) code constructed by the method based on the inverse element characteristics in the finite field multiplicative group,the SCG-LDPC(3 969,3 720) code constructed by the systematically constructed Gallager(SCG) random construction method,the LDPC(32 640,30 592) code in ITU-T G.975.1 and the classic RS(255,239) code which is widely used in optical transmission systems in ITU-T G.975 at the bit error rate(BER) of 10-7.Therefore,the constructed QC-LDPC(3 780,3 540) code is more suitable for optical transmission systems.
According to the requirements of the increasing development for optical transmission systems,a novel construction method of quasi-cyclic low-density parity-check（QC-LDPC） codes based on the subgroup of the finite field multiplicative group is proposed.Furthermore,this construction method can effectively avoid the girth-4 phenomena and has the advantages such as simpler construction,easier implementation,lower encoding/decoding complexity,better girth properties and more flexible adjustment for the code length and code rate.The simulation results show that the error correction performance of the QC-LDPC（3 780,3 540） code with the code rate of 93.7% constructed by this proposed method is excellent,its net coding gain is respectively 0.3dB,0.55dB,1.4dB and 1.98dB higher than those of the QC-LDPC（5 334,4 962） code constructed by the method based on the inverse element characteristics in the finite field multiplicative group,the SCG-LDPC（3 969,3 720） code constructed by the systematically constructed Gallager（SCG） random construction method,the LDPC（32 640,30 592） code in ITU-T G.975.1 and the classic RS（255,239） code which is widely used in optical transmission systems in ITU-T G.975 at the bit error rate（BER） of 10-7.Therefore,the constructed QC-LDPC（3 780,3 540） code is more suitable for optical transmission systems.
基金
supported by the Program for Innovation Team Building at Institutions of Higher Education in Chongqing(No.J2013-46)
the National Natural Science Foundation of China(Nos.61472464 and 61471075)
the Natural Science Foundation of Chongqing Science and Technology Commission(Nos.cstc2015jcyj A0554 and cstc2013jcyj A40017)
the Program for Postgraduate Science Research and Innovation of Chongqing University of Posts and Telecommunications(Chongqing Municipal Education Commission)(No.CYS14144)
关键词
LDPC码
光传输系统
构造方法
乘法群
有限域
子群
低密度奇偶校验
编码/解码
Bit error rate
Convolutional codes
Error correction
Inverse problems
Light transmission
Optical communication
Satellite communication systems
Transmissions
