A novel construction scheme of QC-LDPC codes based on the RU algorithm for optical transmission systems

• Published in: Optoelectronics letters Vol. 12; no. 2; pp. 132 - 135
• Main Author: 袁建国 梁梦琪 王永 林金朝 庞宇
• Format: Journal Article
• Language: English
• Published: Tianjin Tianjin University of Technology 01.03.2016
• Subjects: Lasers; Optical Devices; Optics; Photonics; Physics; Physics and Astronomy; 低密度奇偶校验; 准循环LDPC码; 奇偶校验矩阵; 施工方案; 构造方案; 算法; 高速光传输系统; A
• ISSN: 1673-1905; 1993-5013
• DOI: 10.1007/s11801-016-5167-6

A novel lower-complexity construction scheme of quasi-cyclic low-density parity-check（QC-LDPC） codes for optical transmission systems is proposed based on the structure of the parity-check matrix for the Richardson-Urbanke（RU） algorithm. Furthermore, a novel irregular QC-LDPC（4 288, 4 020） code with high code-rate of 0.937 is constructed by this novel construction scheme. The simulation analyses show that the net coding gain（NCG） of the novel irregular QC-LDPC（4 288,4 020） code is respectively 2.08 d B, 1.25 d B and 0.29 d B more than those of the classic RS（255, 239） code, the LDPC（32 640, 30 592） code and the irregular QC-LDPC（3 843, 3 603） code at the bit error rate（BER） of 10-（-6）. The irregular QC-LDPC（4 288, 4 020） code has the lower encoding/decoding complexity compared with the LDPC（32 640, 30 592） code and the irregular QC-LDPC（3 843, 3 603） code. The proposed novel QC-LDPC（4 288, 4 020） code can be more suitable for the increasing development requirements of high-speed optical transmission systems.