Construction method of QC-LDPC codes based on multiplicative group of finite field in optical communication

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• 作者：Sheng Huang 黄胜 ; Xiang Ao 敖翔 ; Yuan-yuan Li 李媛媛 ; Rui Zhang 张睿
• 刊名：Optoelectronics Letters
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：12
• 期：5
• 页码：349-352
• 全文大小：277 KB
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Applied Optics, Optoelectronics and Optical Devices
  Chinese Library of Science
  
• 出版者：Tianjin University of Technology, co-published with Springer-Verlag GmbH
• ISSN：1993-5013
• 卷排序：12

文摘

In order to meet the needs of high-speed development of optical communication system, a construction method of quasi-cyclic low-density parity-check (QC-LDPC) codes based on multiplicative group of finite field is proposed. The Tanner graph of parity check matrix of the code constructed by this method has no cycle of length 4, and it can make sure that the obtained code can get a good distance property. Simulation results show that when the bit error rate (BER) is 10-6, in the same simulation environment, the net coding gain (NCG) of the proposed QC-LDPC(3 780, 3 540) code with the code rate of 93.7% in this paper is improved by 2.18 dB and 1.6 dB respectively compared with those of the RS(255, 239) code in ITU-T G.975 and the LDPC(3 2640, 3 0592) code in ITU-T G.975.1. In addition, the NCG of the proposed QC-LDPC(3 780, 3 540) code is respectively 0.2 dB and 0.4 dB higher compared with those of the SG-QC-LDPC(3 780, 3 540) code based on the two different subgroups in finite field and the AS-QC-LDPC(3 780, 3 540) code based on the two arbitrary sets of a finite field. Thus, the proposed QC-LDPC(3 780, 3 540) code in this paper can be well applied in optical communication systems.