非二进制低密度奇偶校验码在16QAM光传输系统中的性能

王黎明; 乔耀军; 张文博

doi:doi:10.3788/gzxb20164504.0406003

光子学报, 2016, 45 (4): 0406003, 网络出版: 2016-05-11

非二进制低密度奇偶校验码在16QAM光传输系统中的性能

Performance of Non-binary Low Density Parity Check Codes in 16QAM Optical Transmission Systems

论文大纲

王黎明 ^*乔耀军张文博

作者单位

北京邮电大学信息光子学和光通信国家重点实验室, 北京 100876

摘要

以16-相正交幅度调制（16QAM）为例，分析比较了伽罗华（GF(2m)）域上m=1,2,4时，3种低密度奇偶校验（LDPC）码在16QAM光传输系统中的性能.分析表明，无论在纠错性能还是译码效率方面，4进制LDPC码比16进制LDPC码具有更大优势.为进一步改善高阶调制光传输系统中非二进制低密度奇偶校验（NB-LDPC）码的性能，在16QAM系统下的4进制LDPC码中引入水印位符号.与传统的非二进制LDPC译码方案相比，水印位方案的平均迭代次数显著下降，即引入水印位可以极大地提高NB-LDPC码的译码效率.当误码率BER=10-5时水印位方案可以改善0.1 dB的净编码增益.

Abstract

Taken 16 Quadrature Amplitude Modulation (16QAM) as an example, the performance of three kinds of LDPC codes over Galois fields (GF(2m)) for m=1,2,4 in 16QAM systems was analyzed. The simulation results show that 4-ary LDPC code, rather than 16-ary LDPC, shows significant advantages in both error correction performance and decoding efficiency. Then in order to further improve the performance of NB-LDPC codes in high-order modulation systems, the watermark symbols are introducted into 4-ary LDPC codes in 16QAM systems. Compared with traditional non-binary LDPC decoding, the average iteration number of watermark scheme presents a quite obvious decrease, it means that the decoding efficiency can be greatly improved by using watermark scheme. Moreover a further Net Code Gain (NCG) improvement of about 0.1 dB can be attained when bit error ratio BER=10-5.

参考文献

[1] HUANG Yue-kai, HUANG Ming-fang, IP E, et al. High-capacity fiber field trial using terabit/s all-optical OFDM superchannels with DP-QPSK and DP-8QAM/DP-QPSK modulation［J］. Journal of Lightwave Technology, 2013, 31(4): 546-553.

[2] SEIMETZ M. High-order modulation for optical fiber transmission［M］. Springer: Verlag Berlin Heidelberg, 2009.

[3] MACKAY D, NEAL M. Near Shannon limit performance of low density parity check codes［J］. Electronics Letters, 1997, 33(6): 457–458.

[4] LI Sha, YU Chong-xiu, KANG Zhe, et al. 160-Gb/s NRZ-DQPSK optical transmission system employing QC-LDPC code［J］. Chinese Optics Letters, 2014, 12(1): 17-21.

[5] DAVEY M. Low-density parity check codes over GF(q)［J］. Communications Letters 1998, 2(6): 165-167.

[6] DAVEY M. Error-correction using low-density parity-check codes［D］. UK: University Cambridge, 1999.

[7] ARABACI M, DJORDJEVIC B, SAUNDERS R, et al. Nonbinary quasi-cyclic LDPC-based coded modulation for beyond 100-Gb/s transmission［J］. Photonics Technology Letters, 2010, 22(6): 434-436.

[8] LEHNIGK-EMDEN T, WEHN N. Complexity evaluation of non-binary Galois field LDPC code decoders［C］. Turbo Codes and Iterative Information Processing, 2010 6th International Symposium on, IEEE, 2010: 53-57.

[9] ARABACI M. Nonbinary-LDPC-coded modulation schemes for high speed optical communication networks［D］. Arizona: University of Arizona, 2010.

[10] SAFARNEJAD L, SADEGHI M R. FFT Based Sum-product algorithm for decoding LDPC lattices［J］. IEEE Communications Letters, 2012, 16(9): 1504-1507.

[11] SPAGNOL C, POPOVICI E, MARNANE W. Hardware implementation of GF(2m) LDPC decoders［J］. IEEE Transactions on Circuits and Systems. 2009, 56(12): 2609-2620.

[12] LIN Jun, YAN Zhi-yuan. An efficient fully parallel decoder architecture for nonbinary LDPC codes［J］. IEEE Transactions on Very Large Scale Integration Systems, 2014, 22(12): 2649-2660.

[13] BI Wei, ZHANG Wen-bo, HE Wen-xue, et al. A modified decoding algorithm involving priori characteristics bits for LDPC［C］. Advanced Infocomm Technology (ICAIT), 2013 6th International Conference on. IEEE, 2013:245-246.

[14] HE Wen-xue, ZHANG Wen-bo, LI Chao, et al. Performance analysis of LDPC code based on watermark scheme in high-speed optical communication system［J］. Chinese Optics Letters, 2015, 13(s1): S10601.

[15] SONG Shu-mei, ZENG Ling-qi, Lin Shu, et al. Algebraic constructions of non-binary quasi-cyclic LDPC codes［J］. IEEE International Symposium on Information Theory, Seattle, 2006, 83-87.

[16] 黄胜, 田方方, 贾雪婷,等. 光通信系统中基于有限域的LDPC码的构造［J］. 光子学报, 2014, S1期(S1):0106003.

HUANG Sheng, TIAN Fang-fang, JIA Xue-ting, et al. A novel construction method of LDPC codes over finite field in optical communication systems［J］. Acta Photonica Sinica, 2014, S1(s1): 0106003.

[17] DJORDJEVIC B, XU Lei. Large Girth low-density parity-check codes for long-haul high-speed optical communications［C］. Optical Fiber Communication/National Fiber Optic Engineers Conference, 2008. OFC/NFOEC 2008. Conference on. IEEE, 2008:1-3.

[18] 常萌, 申敏, 16QAM解调算法及其在HSDPA中的应用［J］, 电信交换, 2006, 第2期, 43-48.

[19] 于倩. 高速光传输系统中非二进制LDPC码的编译码研究［D］. 北京邮电大学, 2015.

王黎明, 乔耀军, 张文博. 非二进制低密度奇偶校验码在16QAM光传输系统中的性能[J]. 光子学报, 2016, 45(4): 0406003. WANG Li-ming, QIAO Yao-jun, ZHANG Wen-bo. Performance of Non-binary Low Density Parity Check Codes in 16QAM Optical Transmission Systems[J]. ACTA PHOTONICA SINICA, 2016, 45(4): 0406003.

非二进制低密度奇偶校验码在16QAM光传输系统中的性能

关于本站 Cookie 的使用提示

全站搜索

非二进制低密度奇偶校验码在16QAM光传输系统中的性能

相关论文

相关资讯

关于本站 Cookie 的使用提示

全站搜索