首页 > 论文 > 光学学报 > 37卷 > 9期(pp:906002--1)

基于时频域卡尔曼滤波的CO-OFDM系统相位噪声补偿算法

Phase Noise Compensation Algorithm Based on Kalman Filtering in Time and Frequency Domains for CO-OFDM System

  • 摘要
  • 论文信息
  • 参考文献
  • 被引情况
  • PDF全文
分享:

摘要

针对基于高阶正交幅度调制(QAM)的大线宽相干光正交频分复用(CO-OFDM)系统, 提出了一种基于时域和频域卡尔曼滤波(KF)联合估计的相位噪声补偿算法。所提算法在发射端插入时域训练符号和导频序列, 在接收端基于训练符号进行频域卡尔曼滤波后得到信道估计值, 进行时域扩展卡尔曼滤波(EKF)后得到相位噪声粗略估计值。时域相位噪声估计值为复数值, 为获得较好的补偿效果, 根据导频序列数目将每个OFDM符号分割为若干个亚符号。在导频序列处进行时域EKF, 通过在每个亚符号最后一个导频处进行线性插值, 得到每个采样点的相位噪声粗略估计值。对粗略相位噪声补偿后的频域数据进行预判决, 并对时域相位噪声进行精细补偿。采用所提算法对传输速率为50 Gbit·s-1 、传输距离为100 km的CO-OFDM系统进行了数值模拟, 结果表明所提算法与其他方法相比取得了较好的补偿效果。对于激光器线宽为1 MHz(16QAM)和800 kHz(32QAM) 的CO-OFDM系统, 误码率可达前向纠错上限。

Abstract

A phase noise compensation algorithm based on joint estimation of Kalman filtering (KF) in time and frequency domains is proposed aiming at higher-order quadrature amplitude modulation (QAM) based incoherent optical orthogonal frequency division multiplexing (CO-OFDM) system with large linewidth. Training symbols and pilot sequences in time domain are set in the transmitter. Frequency domain Kalman filtering is carried out based on training symbols at the receiver, and channel estimation value is obtained. Rough estimate value of phase noise is obtained with time domain extended Kalman filtering (EKF). The estimation value of phase noise in time domain is plural, and in order to obtain better compensation results, every OFDM symbol is divided into several sub-symbols according to the number of pilot sequences. Time domain EKF is carried out at the positions of pilot sequences. Rough estimation value of phase noise of every sampling point is obtained with linear interpolation at the last pilot of every sub-symbol. Predecision of frequency domain data after rough phase noise compensation and time domain phase noise fine compensation are carried out. Numerical simulation is performed by the proposed algorithm for CO-OFDM system with transmission rate of 50 Gbit·s-1 and transmission distance of 100 km. Results show that the compensation results achieved by the proposed method are better than that of other methods. When CO-OFDM system is with 16QAM and a laser linewidth of 1 MHz or with 32QAM and a laser linewidth of 800 kHz, bit error rate can reach the upper limit of forward error correction.

投稿润色
补充资料

中图分类号:TN913.7

DOI:10.3788/aos201737.0906002

所属栏目:光纤光学与光通信

基金项目:国家自然科学基金(60907032,61675184,61675183)、浙江省自然科学基金(LY16F050009)、上海交通大学区域光纤通信网与新型光通信系统国家重点实验室开放基金(2016GZKF0JT004)

收稿日期:2017-04-05

修改稿日期:2017-05-05

网络出版日期:--

作者单位    点击查看

唐英杰:浙江工业大学健行学院, 浙江 杭州 310023
董月军:浙江工业大学信息工程学院, 浙江 杭州 310023
任宏亮:浙江工业大学信息工程学院, 浙江 杭州 310023
卢 瑾:浙江工业大学信息工程学院, 浙江 杭州 310023
覃亚丽:浙江工业大学信息工程学院, 浙江 杭州 310023
郭淑琴:浙江工业大学信息工程学院, 浙江 杭州 310023
胡卫生:上海交通大学区域光纤通信网与新型光通信系统国家重点实验室, 上海 200240

联系人作者:唐英杰(sycong@163.com)

备注:唐英杰(1996-),男,本科在读, 主要从事相干光通信数字信号处理方面的研究。

【1】Pakala L, Schmauss B. Extended Kalman filtering for joint mitigation of phase and amplitude noise in coherent QAM systems[J]. Optics Express, 2016, 24(6): 6391-6401.

【2】Feng Y, Li L, Lin J, et al. Joint tracking and equalization scheme for multi-polarization effects in coherent optical communication systems[J]. Optics Express, 2016, 24(22): 25491.

【3】Shieh W, Yi X, Ma Y, et al. Coherent optical OFDM: Has its time come?[J]. Journal of Optical Networking, 2008, 7(3): 234-255.

【4】Armstrong J. OFDM for optical communications[J]. Journal of Lightwave Technology, 2009, 27(3): 189-204.

【5】Shieh W, Athaudage C. Coherent optical orthogonal frequency division multiplexing[J]. Electronics Letters, 2006, 42(10): 587-589.

【6】Yang Qi, Yu Shaohua. Tb/s ultra long haul transmission of coherent optical OFDM[J]. Chinese Science Bulletin, 2014, 59(16): 1497-1507.
杨 奇, 余少华. 兆比特每秒(Tb/s)级相干光OFDM超长距离传输[J]. 科学通报, 2014, 59(16): 1497-1507.

【7】Liu Jianfei, Shi Huimin, Zeng Xiangye, et al. Channel estimation method based on wavelet and improved ISFA for CO-OFDM systems[J]. Chinese J Lasers, 2015, 42(12): 1205002.
刘剑飞, 石慧敏, 曾祥烨, 等. 基于小波降噪和改进ISFA的CO-OFDM信道估计方法[J]. 中国激光, 2015, 42(12): 1205002.

【8】Zhang Shuai, Bai Chenglin, Luo Qinglong, et al. Optimization of channel estimation for coherent optical OFDM systems with MMSE method[J]. Journal of Optoelectronics·Laser, 2013, 24(3): 508-513.
张 帅, 白成林, 罗清龙, 等. 相干光OFDM系统中MMSE信道估计研究[J]. 光电子·激光, 2013, 24(3): 508-513.

【9】Tong Zhengrong, Guo Zunli, Cao Ye, et al. Wavelet packet transform for PAPR reduction performance in CO-OFDM system[J]. Acta Photonica Sinica, 2015, 44(12): 1206001.
童峥嵘, 郭尊礼, 曹 晔, 等. 小波包变换对CO-OFDM 系统高峰均比的抑制性能研究[J]. 光子学报, 2015, 44(12): 1206001.

【10】Li Bao, Yu Jianjun, He Jing, et al. Estimation and compensation of sampling clock frequency offset in coherent optical OFDM systems with a pilot-aided method[J]. Acta Photonica Sinica, 2015, 44(1): 0106003.
李 宝, 余建军, 何 晶, 等. 相干光OFDM系统中基于导频辅助的采样时钟频率偏差估计和补偿算法[J]. 光子学报, 2015, 44(1): 0106003.

【11】Deng Mingliang, Yi Xingwen, Yu Zhenming, et al. Improving the fiber nonlinear tolerance based on constant envelope modulation for CO-OFDM systems[J]. Journal of Optoelectronics·Laser, 2013, 24(10): 1922-1929.
邓明亮, 易兴文, 于振明, 等. 通过恒包络调制提高相干光OFDM系统的光纤非线性容限[J]. 光电子·激光, 2013, 24(10): 1922-1929.

【12】Yi X W, Shieh W, Tang Y. Phase estimation for coherent optical OFDM[J]. IEEE Photonics Technology Letters, 2007, 19(12): 919-921.

【13】Mousa-Pasandi M E, Plant D V. Noniterative interpolation-based partial phase noise ICI mitigation for CO-OFDM transport systems[J]. IEEE Photonics Technology Letters, 2011, 23(21): 1594-1596.

【14】Chung W. A matched filtering approach for phase noise suppression in CO-OFDM system[J]. IEEE Photonics Technology Letters, 2011, 22(24): 1802-1804.

【15】Liu Wu, Yang Qi. Carrier phase recovery without pilot sub-carrier in coherent optical OFDM transmission systems[J]. Acta Photonica Sinica, 2011, 40(12): 1893-1898.
刘 武, 杨 奇. 相干光正交频分复用传输系统中的无导频相位纠偏方法[J]. 光子学报, 2011, 40(12): 1893-1898.

【16】Zhao Bo, Li Li, Han Li, et al. Phase noise compensation method based on RORC for CO-OFDM systems[J]. Journal of Optoelectronics·Laser, 2016, 27(1): 31-37.
赵 博, 李 莉, 韩 力, 等. 基于ROPC的CO-OFDM系统相位噪声补偿方法研究[J]. 光电子·激光, 2016, 27(1): 31-37.

【17】Su Zhenzhen, Xu Yi, Dong Ying, et al. Channel estimation based on analysis of phase noise compensation for CO-OFDM system[J]. Journal of Optoelectronics·Laser, 2013, 24(11): 2135-2141.
苏真真, 许 义, 董 颖, 等. 基于相位噪声分析补偿的CO-OFDM系统信道估计研究[J]. 光电子·激光, 2013, 24(11): 2135-2141.

【18】Zhou X, Yang X L, Li R, et al. Efficient joint carrier frequency offset and phase noise compensation scheme for high-speed coherent optical OFDM systems[J]. Journal of Lightwave Technology, 2013, 31(11): 1755-1761.

【19】Hong X, Hong X, He S. Linearly interpolated sub-symbol optical phase noise suppression in CO-OFDM system[J]. Optics Express, 2015, 23(4): 4691-4702.

【20】Le S T, Kanesan T, Giacoumidis E, et al. Quasi-pilot aided phase noise estimation for coherent optical systems[J]. IEEE Photonics Technology Letters, 2014, 26(5): 504-507.

【21】Hong X J, Hong X Z, He S L. Low-complexity optical phase noise suppression in CO-OFDM system using recursive principal components elimination[J]. Optics Express, 2015, 23(18): 24077.

【22】Liu Y, Yang C C, Li H B. Cost-effective and spectrum-efficient coherent TDM-OFDM-PON aided by blind ICI suppression[J]. IEEE Photonics Technology Letters, 2015, 27(8): 887-890.

【23】Mousapasandi M E, Plant D V. Zero-overhead phase noise compensation via decision-directed phase equalizer for coherent optical OFDM[J]. Optics Express, 2010, 18(20): 20651-20660.

【24】Wang Lingzi, Tang Xianfeng, Zhang Xiaoguang, et al. Blind phase estimation algorithms based on decision-directed and decision-feedback in PDM-CO-OFDM systems[J]. Chinese J Lasers, 2014, 41(3): 0305001.
王凌子, 唐先锋, 张晓光, 等. PDM-CO-OFDM系统中基于判决引导与判决反馈的盲相位估计算法[J]. 中国激光, 2014, 41(3): 0305001.

【25】Cao S, Kam P, Yu C. Decision-aided, pilot-aided, decision-feedback phase estimation for coherent optical OFDM[J]. IEEE Photonics Technology Letters, 2012, 24(22): 2067-2069.

【26】Ren H L, Cai J X, Ye X, et al. Decision-aided ICI mitigation with time-domain average approximation in CO-OFDM[J]. Optics Communications, 2015, 347: 1-7.

【27】Cao S, Kam P Y, Yu C. Time-domain blind ICI mitigation for non-constant modulus format in CO-OFDM[J]. IEEE Photonics Technology Letters, 2013, 25(24): 2490-2493.

【28】Ha Y, Chung W. Non-data-aided phase noise suppression scheme for CO-OFDM systems[J]. IEEE Photonics Technology Letters, 2013, 25(25): 1703-1706.

【29】Ren H L, Cai J X, Lu J, et al. Novel iteration-free blind phase noise estimation for coherent optical OFDM[J]. Chinese Optics Letters, 2014, 12(12): 120603.

【30】Ren Hongliang, Kang Shaoyuan, Lu Jin, et al. Blind phase noise compensation algorithm in CO-OFDM system with wide laser linewidth[J]. Acta Optica Sinica, 2017, 37(1): 0106005.
任宏亮, 康少源, 卢 瑾, 等. 大线宽CO-OFDM系统中盲相位噪声补偿算法研究[J]. 光学学报, 2017, 37(1): 0106005.

【31】Shi Q. ICI mitigation for OFDM using PEKF[J]. IEEE Signal Processing Letters, 2010, 17(12): 981-984.

【32】Bittner S, Frotzscher A, Fettweis G, et al. Oscillator phase noise compensation using Kalman tracking[C]. IEEE International Conference on Acoustics, 2009: 2529-2532.

【33】Diliyanzah A, Astuti R P, Syihabuddin B. Inter-carrier interference reduction in broadband wireless access technology using extended Kalman filter[C]. International Conference on Information and Communication Technology, 2014: 266-271.

【34】Petrovic D, Rave W, Fettweis G. Common phase error due to phase noise in OFDM-estimation and suppression[C]. IEEE International Symposium on Personal, 2004, 3: 1901-1905.

【35】Yuan Jianguo, Ma Jun, Li Zhangchao. Study on phase noise compensation algorithm based on Kalman filter in CO-OFDM systems[J]. Semiconductor Optoelectronics, 2015, 36(6): 959-963.
袁建国, 马 骏, 李璋超. CO-OFDM系统中基于卡尔曼滤波对相位噪声补偿算法的研究[J]. 半导体光电, 2015, 36(6): 959-963.

【36】Li Lingxiang, Li Jibi. A three-stage phase noise compensation algorithm based on Kalman filtering for CO-OFDM systems[J]. Journal of Optoelectronics·Laser, 2016, 27(10): 1047-1053.
李玲香, 李季碧. CO-OFDM系统中一种基于卡尔曼滤波的三阶相位噪声补偿算法[J]. 光电子·激光, 2016, 27(10): 1047-1053.

【37】Magarini M, Spalvieri A, Vacondio F, et al. Empirical modeling and simulation of phase noise in long-haul coherent optical transmission systems[J]. Optics Express, 2011, 19(23): 22455-22461.

【38】Zhang Zhaoyou, Hao Yanling, Wu Xu. Complexity analysis of three deterministic sampling nonlinear filtering algorithms[J]. Journal of Harbin Institute of Technology, 2013, 45(12): 111-115.
张召友, 郝燕玲, 吴 旭. 3种确定性采样非线性滤波算法的复杂度分析[J]. 哈尔滨工业大学学报, 2013, 45(12): 111-115.

引用该论文

Tang Yingjie,Dong Yuejun,Ren Hongliang,Lu Jin,Qin Yali,Guo Shuqin,Hu Weisheng. Phase Noise Compensation Algorithm Based on Kalman Filtering in Time and Frequency Domains for CO-OFDM System[J]. Acta Optica Sinica, 2017, 37(9): 0906002

唐英杰,董月军,任宏亮,卢 瑾,覃亚丽,郭淑琴,胡卫生. 基于时频域卡尔曼滤波的CO-OFDM系统相位噪声补偿算法[J]. 光学学报, 2017, 37(9): 0906002

您的浏览器不支持PDF插件,请使用最新的(Chrome/Fire Fox等)浏览器.或者您还可以点击此处下载该论文PDF