半导体光电, 2013, 34 (6): 1017, 网络出版: 2014-01-02
光通信中一种基于有限域循环子群的QC-LDPC码构造方法
A Construction Method of QCLDPC Codes Based on Finite Field Cyclic Subgroup for Optical Communications
光通信系统 有限域循环子群 准循环低密度奇偶校验码 误码率(BER) optical communication systems finite field cyclic subgroup QCLDPC codes bit error rate(BER)
摘要
基于有限域循环子群方法提出了一种结构简单,可以灵活选择码长、码率,并且编译码复杂度低的准循环低密度奇偶校验(QCLDPC)码构造方法。利用此方法构造出适合光通信系统传输的规则QCLDPC(5334,4955)码。仿真结果表明该码型利用和积迭代译码算法在加性高斯白噪声信道中取得了很好的性能,比已广泛应用于光通信中的经典RS(255,239)码具有更好的纠错性能。因此所构造的QCLDPC(5334,4955)码能较好地适用于高速长距离光通信系统。
Abstract
A construction method of QuasiCyclic LowDensity ParityCheck(QCLDPC) codes based on cyclic subgroups of finite field is proposed. The method owns the advantages such as easier construction, more flexible adjustment on codelength and coderate and lower encoding/decoding complexity. Moreover, a regular QCLDPC(5334,4955) code suitable for optical communication systems is constructed by this construction method. The simulation results show that the code can gain good performance under the condition of additive white Gaussian noise(AWGN) channel with iterative decoding sumproduct algorithm(SPA). The errorcorrection performance of the QCLDPC(5334,4955) code is better than that of the classic RS(255,239) code which is widely used in optical communication system. Therefore, the constructed QCLDPC(5334,4955) code can be better suitable for the longhaul and highspeed optical communication systems.
袁建国, 许亮, 黄胜, 王永. 光通信中一种基于有限域循环子群的QC-LDPC码构造方法[J]. 半导体光电, 2013, 34(6): 1017. YUAN Jianguo, XU Liang, HUANG Sheng, WANG Yong. A Construction Method of QCLDPC Codes Based on Finite Field Cyclic Subgroup for Optical Communications[J]. Semiconductor Optoelectronics, 2013, 34(6): 1017.