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Optoelectronics Letters

A novel construction method of QC-LDPC codes based on the subgroup of the finite field multiplicative group for optical transmission systems

Jianguo Yuan, Guang-xiang Zhou, Wen-chun Gao, Yong Wang, Jinzhao Lin, Yu Pang

Published Jan 1, 2016• 2 citations
Publisher
DOI
10.1007/s11801-016-5141-3

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A construction method of Quasi-Cyclic Low-Density Parity-Check(QC-LDPC) codes based on cyclic subgroups of finite field is proposed.The method owns the advantages such as easier construction,more flexible adjustment on code-length and code-rate and lower encoding/ decoding complexity.Moreover,a regular QC-LDPC(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 sum-product algorithm(SPA).The error-correction performance of the QC-LDPC(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 QC-LDPC(5334,4955)code can be better suitable for the long-haul and high-speed optical communication systems.

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IEEE International Symposium on Information Theory (ISIT)•Jan 1, 2005•18 citations
根据为光传播系统的增加的开发的要求，伪周期的低密度的同等值检查(QC-LDPC ) 的一个新奇构造方法基于有限的域的亚群编码趋于增加的组被建议。而且，这个构造方法能有效地避免 girth-4 现象并且为代码长度和代码率有象更简单的建设，更容易的实现，更低的编码 / 译码复杂性，更好的尺寸性质和更灵活的调整那样的优点。模拟结果证明 QC-LDPC 的错误修正表演( 3 780,3 540 )有93.7%的代码率的代码由这个建议方法构造了是优秀的，它编码获得的网是分别地 0.3 dB ， 0.55 dB ， 1.4 dB 和 QC-LDPC 的比那些高的 1.98 dB ( 5 334,4 962 )方法在有限的域里基于反的元素特征构造的代码趋于增加的组， SCG-LDPC ( 3 969,3 720 )系统地构造的 Gallager ( SCG ) rando 构造的代码因此，构造 QC-LDPC (3 780,3 540 ) 代码对光传播系统更合适。
A construction method of Quasi-Cyclic Low-Density Parity-Check(QC-LDPC) codes based on cyclic subgroups of finite field is proposed.The method owns the advantages such as easier construction,more flexible adjustment on code-length and code-rate and lower encoding/ decoding complexity.Moreover,a regular QC-LDPC(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 sum-product algorithm(SPA).The error-correction performance of the QC-LDPC(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 QC-LDPC(5334,4955)code can be better suitable for the long-haul and high-speed optical communication systems.