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Optoelectronics Letters

A novel decoding algorithm based on the hierarchical reliable strategy for SCG-LDPC codes in optical communications

Jianguo Yuan, Qing-zhen Tong, Sheng Huang, Yong Wang

Published Oct 29, 2013• 3 citations
Publisher
DOI
10.1007/s11801-013-3135-y

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According to the structural characteristics of SCG-LDPC codes,an effective Hierarchical Reliable Belief Propagation(HRBP)decoding algorithm is proposed.The novel decoding algorithm combines the layered iteration with the reliability judgment and can greatly reduce the number of the variable node involved in the subsequent iteration process and accelerate the convergence rate.The simulation result of SCG-LDPC(3969,3720)code for optical transmission systems shows that the novel HRBP decoding algorithm,compared with the traditional BP algorithm,can highly reduce the computing amount at the condition of ensuring the performance.The bit error rate(BER)performance of the HRBP algorithm is similar to that of the BP algorithm at the threshold value of 15,but in the subsequent iteration process,the number of the variable nodes for the HRBP algorithm,compared with the BP algorithm,can reduce about 69% at the high signal noise ratio(SNR).When the threshold value is further increased,the HRBP algorithm will gradually degenerate into the Layered-BP algorithm.
译码算法的有效层次可靠信仰繁殖(HRBP ) 根据低密度的同等值检查(SCG-LDPC ) 编码的系统地构造的 Gallager 的结构的特征被建议。新奇译码算法联合有可靠性判断的分层的重复，和罐头极大地减少涉及随后的重复进程的可变节点的数字并且加速集中率。为 SCG-LDPC (3969,3720 ) 代码的模拟的结果证明极大地译码算法罐头的新奇 HRBP 以与传统的信仰繁殖(BP ) 相比保证性能的条件减少计算数量算法。 HRBP 算法的小点错误率( BER )在 15 的阀值价值是可观的，但是在随后的重复处理，为 HRBP 算法的可变节点的数字能被大约70%与 BP 算法相比在高 signal-to-noise 比率( SNR )减少。当阀值值进一步被增加时， HRBP 算法将逐渐地堕落进 layered-BP 算法，但是 30 在 107 的 BER 和最大的重复数，编码 HRBP 算法的获得( NCG )的网络是多于 BP 算法的 0.2 dB ，并且平均重复时间能被大约40%在高 SNR 减少。因此，译码算法的新奇 HRBP 对光通讯系统更合适。
A novel construction method with the advantages of simple construction and easy implementation encoding for quasi-cyclic low-density parity-check(QC-LDPC) codes based on Galois field(GF(q)) multiplicative group is proposed.This algorithm can flexibly adjust code length and code rate Furthermore,the complexity of the encoding and decoding is low.An irregular QC-LDPC(3843,3603) code suitable for optical communication systems is constructed by applying the proposed construction method.The simulation results show that the error-correction performance of the QC-LDPC(3843,3603) code is better than that of the classic RS(255,239) code,the LDPC code constructed by the SCG construction method,and the regular QC-LDPC(4221,3956) code.So the QC-LDPC(3843,3603) code is suitable for the high-speed long-haul optical communication systems.