光通信中基于BIBD与循环矩阵分解的QC-LDPC码新颖构造方法
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袁建国(1968-),男,重庆市人,工学博士, 教授,硕士生导师,主要从事光通信技术与光电子技术等的研究.

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国家自然科学基金(61071117,71275077,61003256)、重庆市自然科学基金(2010BB2409)和重庆市教委(KJ110519)资助项目 , 栗婵媛, 黄胜, 王永 (重庆邮电大学 光纤通信技术重点实验室,重庆 400065) )


A novel construction method of QC-LDPC codes for optical communications based on the BIBD and circulant decomposition
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    摘要:

    为了满足光通信系统中对纠错码高码率、低误码 率(EBR)的要求,基于平衡不完全区组设计(BIBD)和循 环 矩阵分解,提出一种构造简单的新颖准循环低密度奇偶校验(QC-LDPC)码构造方法,并构造 了适用于光 通信系统的规则BIBDdes-QC-LDPC(6736,6316)码。仿真结果表明 ,在BER=10-6时其码率均为93.7% 的情况下,所构造的BIBDdes-QC-LDPC(6736,6316)码的净编码增 益(NCG)比已广泛应用于光通信系统中的经典 RS(255,9)码改善了约2.2dB,并且比只基 于BIBD所构造的同码率同码长的规则BIBD-QC-LDPC(6736,5) 和基于伽罗华域(GF)乘群所构造的同码率的非规则QC-LDPC(3843,3)码都分别改善了约0.2dB。因而,运用本文方法构造的QC-LDPC 码型的纠错性能更强,更适用于高速长距离光通信系统。并且,本文方法还具有BIBD构造方 法的优点,可灵活地调整码率码长。

    Abstract:

    In order to meet the requirements of the high bit-rate and the lowe r bit error-rate of the error-correction code in optical communication systems,based on the balanced i ncomplete block design (BIBD) and the circulant decomposition in this paper,a novel construction method of quasi- cyclic low-density parity-check (QC-LDPC) codes with the advantage of the simple implementation i s proposed.A regular BIBDdes-QC-LDPC(6736,6316) code suitable for optical communication syst ems is constructed by applying the proposed method.The simulation results show that at the bit error rate (BER) of 10-6 and the same code rate of 93.7%,the net coding gain (NCG) of the constructed BIBDdes -QC-LDPC(6736,6316) code is 2.2dB more than that of the classic RS(255,9) code which has been widely used i n optical communication systems,and 0.2dB more than that of the BI BD-QC-LDPC(6736,6315) code with t he same code length and the same code-rate constructed only by the BIBD method and that of the irregular QC-LDPC(3843,3) code with the same code-rate based on Galois field multipli cative group.Therefore,the novel BIBDdes-QC-LDPC(6736,6316) code has superior error-correction perfo rmance and is more suitable for the high-speed long-haul optical communication systems.And the novel construction method still has the advantage of the BIBD method which can flexibly adjust the code length and code ra te.

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袁建国,栗婵媛,黄胜,王永.光通信中基于BIBD与循环矩阵分解的QC-LDPC码新颖构造方法[J].光电子激光,2013,(9):1698~1701

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  • 收稿日期:2012-12-30
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