A novel construction method of QC-LDPC codes based on CRT for optical communications

A novel construction method of quasi-cyclic low-density parity-check （QC-LDPC） codes is proposed based on Chi- nese remainder theory （CRT）. The method can not only increase the code length without reducing the girth, but also greatly enhance the code rate, so it is easy to construct a high-rate code...

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Bibliographic Details
Published inOptoelectronics letters Vol. 12; no. 3; pp. 208 - 211
Main Author 袁建国 梁梦琪 王永 林金朝 庞宇
Format Journal Article
LanguageEnglish
Published Tianjin Tianjin University of Technology 01.05.2016
Subjects
CRT
ITU-T
Lasers
Optical Devices
Optics
Photonics
Physics
Physics and Astronomy
代码率
低密度奇偶校验码
光通信
准循环LDPC码
构造方法
阴极射线管
A
Online AccessGet full text
ISSN1673-1905
1993-5013
DOI10.1007/s11801-016-5238-8

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Summary:A novel construction method of quasi-cyclic low-density parity-check （QC-LDPC） codes is proposed based on Chi- nese remainder theory （CRT）. The method can not only increase the code length without reducing the girth, but also greatly enhance the code rate, so it is easy to construct a high-rate code. The simulation results show that at the bit error rate （BER） of 10-7, the net coding gain （NCG） of the regular QC-LDPC（4 851, 4 546） code is respectively 2.06 dB, 1.36 dB, 0.53 dB and 0.31 dB more than those of the classic RS（255, 239） code in ITU-T G975, the LDPC（32 640, 30 592） code in ITU-T G.975.1, the QC-LDPC（3 664, 3 436） code constructed by the improved combining construction method based on CRT and the irregular QC-LDPC（3 843, 3 603） code constructed by the construction method based on the Galois field （GF（q）） multiplicative group. Furthermore, all these five codes have the same code rate of 0.937. Therefore, the regular QC-LDPC（4 851, 4 546） code constructed by the proposed construction method has excellent error-correction performance, and can be more suitable for optical transmission systems.
Bibliography:A novel construction method of quasi-cyclic low-density parity-check （QC-LDPC） codes is proposed based on Chi- nese remainder theory （CRT）. The method can not only increase the code length without reducing the girth, but also greatly enhance the code rate, so it is easy to construct a high-rate code. The simulation results show that at the bit error rate （BER） of 10-7, the net coding gain （NCG） of the regular QC-LDPC（4 851, 4 546） code is respectively 2.06 dB, 1.36 dB, 0.53 dB and 0.31 dB more than those of the classic RS（255, 239） code in ITU-T G975, the LDPC（32 640, 30 592） code in ITU-T G.975.1, the QC-LDPC（3 664, 3 436） code constructed by the improved combining construction method based on CRT and the irregular QC-LDPC（3 843, 3 603） code constructed by the construction method based on the Galois field （GF（q）） multiplicative group. Furthermore, all these five codes have the same code rate of 0.937. Therefore, the regular QC-LDPC（4 851, 4 546） code constructed by the proposed construction method has excellent error-correction performance, and can be more suitable for optical transmission systems.
12-1370/TN
YUAN Jian-guo , LIANG Meng-qi , WANG Yong , LIN Jin-zhao , and PANG Yu Key Laboratory of Optical Communication and Networks, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
ISSN:1673-1905
1993-5013
DOI:10.1007/s11801-016-5238-8