A novel QC-LDPC code based on the finite field multiplicative group for optical communications  

作　　者：袁建国 许亮 仝青振 

机构地区：[1]Key Lab. of Optical Fiber Communication Technology, Chongqing University of Posts and Telecommunications

出　　处：《Optoelectronics Letters》2013年第5期378-380,共3页光电子快报（英文版）

基　　金：supported by the National Natural Science Foundation of China(Nos.61071117,61275077 and 61003256);the Natural Science Foundation of CQ CSTC(No.2010BB2409)

摘　　要：A novel construction method of quasi-cyclic low-density parity-check(QC-LDPC) code is proposed based on the finite field multiplicative group,which has easier construction,more flexible code-length code-rate adjustment and lower encoding/decoding complexity.Moreover,a regular QC-LDPC(5334,4962) code is constructed.The simulation results show that the constructed QC-LDPC(5334,4962) code can gain better error correction performance under the condition of the additive white Gaussian noise(AWGN) channel with iterative decoding sum-product algorithm(SPA).At the bit error rate(BER) of 10-6,the net coding gain(NCG) of the constructed QC-LDPC(5334,4962) code is 1.8 dB,0.9 dB and 0.2 dB more than that of the classic RS(255,239) code in ITU-T G.975,the LDPC(32640,30592) code in ITU-T G.975.1 and the SCG-LDPC(3969,3720) code constructed by the random method,respectively.So it is more suitable for optical communication systems.A novel construction method of quasi-cyclic low-density parity-check （QC-LDPC） code is proposed based on the finite field multiplicative group, which has easier construction, more flexible code-length code-rate adjustment and lower encoding/decoding complexity. Moreover, a regular QC-LDPC（5334,4962） code is constructed. The simulation results show that the constructed QC-LDPC（5334,4962） code can gain better error correction performance under the condition of the additive white Gaussian noise （AWGN） channel with iterative decoding sum-product algorithm （SPA）. At the bit error rate （BER） of 10^-6, the net coding gain （NCG） of the constructed QC-LDPC（5334,4962） code is 1.8 dB, 0.9 dB and 0.2 dB more than that of the classic RS（255,239） code in ITU-T G.975, the LDPC（32640,30592） code in ITU-T G.975.1 and the SCG-LDPC（3969,3720） code constructed by the random method, respectively. So it is more suitable for optical communication systems.

关 键 词：LDPC码 光通信系统 有限域 乘法群 迭代译码算法 低密度奇偶校验 加性高斯白噪声 ITU-T 

分 类 号：TN911.22[电子电信—通信与信息系统] TN929.1[电子电信—信息与通信工程]