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Optoelectronics Letters

A novel decoding algorithm based on the hierarchical reli- able strategy for SCG-LDPC codes in optical communi- cations

袁建国, Qing-zhen Tong, 黄胜, 王永

Published Jan 1, 2013• 0 citations
OpenAlex

Abstract

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。

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Journal of Optoelectronics·laser•Jan 1, 2013•0 citations
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。
代码基于有限的地被建议的伪周期的低密度的同等值检查(QC-LDPC ) 的一个新奇构造方法趋于增加的组,举办更容易的建设,更灵活的代码长度代码率调整和更低的编码 / 译码复杂性。而且,常规 QC-LDPC (5334,4962 ) 代码被构造。模拟结果证明构造 QC-LDPC (5334,4962 ) 代码能在添加剂白人 Gaussian 噪音(AWGN ) 的条件下面获得更好的错误修正性能有反复的译码的隧道和产品算法(矿泉) 。以 106 的小点错误率( BER ),编码构造 QC-LDPC ( 5334,4962 )代码的获得( NCG )的网是多于在 ITU-T G.975 的经典 RS ( 255,239 )代码的 1.8 dB , 0.9 dB 和 0.2 dB ,在代码分别地由随机的方法构造了的 ITU-T G.975.1 和 SCG-LDPC ( 3969,3720 )的 LDPC ( 32640,30592 )代码。它因此对光通讯系统更合适。
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。
,的小点错误率( BER )显示出那编码常规 QC-LDPC 的获得( NCG )的网( 4 851 , 4 546 )代码是分别地 2.06 dB , 1.36 dB ,多于那些的 0.53 dB 和经典 RS 的 0.31 dB ( 255 , 239 )在 ITU-T G.975 的代码, LDPC ( 32 640 , 30 592 )在 ITU-T G.975.1 的代码, QC-LDPC ( 3 664 , 3 436 )改进联合构造方法基于 CRT 和不规则的 QC-LDPC 构造的代码( 3 843 , 3 603 )代码由构造方法构造了基于而且,所有这五代码有 0.937 的一样的代码率。因此,常规 QC-LDPC (4 851, 4 546 ) 建议构造方法构造的代码有优秀错误修正性能,和罐头对光传播系统更合适。
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.
Based on finite field(GF(q)) additive group,a novel construction method with the advantages of simple construction and easy implementation of quasi-cyclic low-density parity-check(QC-LDPC) codes for optical communication systems is proposed in order to meet the increasing requirement on the transmission characteristics.The novel construction method can flexibly adjust the code-length and code-rate,and furthermore,the complexity of the encoding and decoding in lower.A regular QC-LDPC(4599,4307) code to be suitable for optical communication systems is constructed by applying the proposed method.The simulation results show that at the condition of the bit error rate(BER) of 10-7 and the same code rate of 93.7%,the net coding gain(NCG) of the constructed QC-LDPC(4599,4307) code is 2.2 dB more than that of the classic RS(255,239) code which has widely been applied in optical communication systems,and 0.47 dB and 0.25 dB more than those of the SCG-LDPC(3969,3720) code constructed by the systematically constructed gallager(SCG) construction method and the irregular QC-LDPC(3843,3603) code respectively,and is 1 dB away from the Shannon limit.Therefore,the novel QC-LDPC(4599,4307) code has superior error-correction performance and is more suitable for the high-speed long-haul optical communication systems.