A Pilot Symbols Aided Adaptive Kalman Filter for Joint Carrier Phase and Polarization Tracking in Coherent Optical System
A joint compensation scheme based on pilot symbols aiding adaptive Kalman filter (AKF) for phase noise and polarization cross-talk is proposed and investigated via numerical simulation and experimental demonstration. In the proposed scheme, the optimizing parameter Q is adaptively adjusted according...
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2018-12-01
|
| Series: | Applied Sciences |
| Subjects: | |
| Online Access: | http://www.mdpi.com/2076-3417/9/1/27 |
| _version_ | 1818425008475602944 |
|---|---|
| author | Juntao Cao Yanfu Yang Qian Xiang Qun Zhang Linsheng Fan Yong Yao |
| author_facet | Juntao Cao Yanfu Yang Qian Xiang Qun Zhang Linsheng Fan Yong Yao |
| author_sort | Juntao Cao |
| collection | DOAJ |
| description | A joint compensation scheme based on pilot symbols aiding adaptive Kalman filter (AKF) for phase noise and polarization cross-talk is proposed and investigated via numerical simulation and experimental demonstration. In the proposed scheme, the optimizing parameter Q is adaptively adjusted according to signal parameters or channel conditions. This improvement avoids the drawback of conventional extended Kalman filter (EKF), and its performance is strongly dependent on Q. Another improvement is that the convergence speed of AKF is improved. Pilot quadrature phase shift keyin (QPSK) symbols are inserted into 16 quadrature amplitude modulation (QAM) signals periodically. Besides accelerating convergence speed, the employment of pilot symbols also improves the tracking capability of AKF. The format ratio between pilot symbols and payload symbols is suggested under different system environments, for instance, optical signal-to-noise rate, polarization rotation frequency drift rate, and laser linewidth. With the proposed scheme, it has excellent tolerance to initial parameter Q and dramatically improves the performances in convergence speed, polarization rotation frequency drift rate tracking, and carrier phase recovery. Both the numerical simulation and experimental demonstration achieve convergence improvement for around 40 times than the original AKF. Additionally, the improvements in tracking ability are also demonstrated. |
| first_indexed | 2024-12-14T14:07:06Z |
| format | Article |
| id | doaj.art-69a8b46b96864cad92ca35ac2ddd5a00 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-12-14T14:07:06Z |
| publishDate | 2018-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-69a8b46b96864cad92ca35ac2ddd5a002022-12-21T22:58:26ZengMDPI AGApplied Sciences2076-34172018-12-01912710.3390/app9010027app9010027A Pilot Symbols Aided Adaptive Kalman Filter for Joint Carrier Phase and Polarization Tracking in Coherent Optical SystemJuntao Cao0Yanfu Yang1Qian Xiang2Qun Zhang3Linsheng Fan4Yong Yao5Department of Electronic and Information Engineering, Harbin Institute of Technology(Shenzhen), Guangdong, ChinaDepartment of Electronic and Information Engineering, Harbin Institute of Technology(Shenzhen), Guangdong, ChinaDepartment of Electronic and Information Engineering, Harbin Institute of Technology(Shenzhen), Guangdong, ChinaDepartment of Electronic and Information Engineering, Harbin Institute of Technology(Shenzhen), Guangdong, ChinaDepartment of Electronic and Information Engineering, Harbin Institute of Technology(Shenzhen), Guangdong, ChinaDepartment of Electronic and Information Engineering, Harbin Institute of Technology(Shenzhen), Guangdong, ChinaA joint compensation scheme based on pilot symbols aiding adaptive Kalman filter (AKF) for phase noise and polarization cross-talk is proposed and investigated via numerical simulation and experimental demonstration. In the proposed scheme, the optimizing parameter Q is adaptively adjusted according to signal parameters or channel conditions. This improvement avoids the drawback of conventional extended Kalman filter (EKF), and its performance is strongly dependent on Q. Another improvement is that the convergence speed of AKF is improved. Pilot quadrature phase shift keyin (QPSK) symbols are inserted into 16 quadrature amplitude modulation (QAM) signals periodically. Besides accelerating convergence speed, the employment of pilot symbols also improves the tracking capability of AKF. The format ratio between pilot symbols and payload symbols is suggested under different system environments, for instance, optical signal-to-noise rate, polarization rotation frequency drift rate, and laser linewidth. With the proposed scheme, it has excellent tolerance to initial parameter Q and dramatically improves the performances in convergence speed, polarization rotation frequency drift rate tracking, and carrier phase recovery. Both the numerical simulation and experimental demonstration achieve convergence improvement for around 40 times than the original AKF. Additionally, the improvements in tracking ability are also demonstrated.http://www.mdpi.com/2076-3417/9/1/27coherent optical communicationpilot aided adaptive Kalman filterphase noisedynamic polarization rotation |
| spellingShingle | Juntao Cao Yanfu Yang Qian Xiang Qun Zhang Linsheng Fan Yong Yao A Pilot Symbols Aided Adaptive Kalman Filter for Joint Carrier Phase and Polarization Tracking in Coherent Optical System Applied Sciences coherent optical communication pilot aided adaptive Kalman filter phase noise dynamic polarization rotation |
| title | A Pilot Symbols Aided Adaptive Kalman Filter for Joint Carrier Phase and Polarization Tracking in Coherent Optical System |
| title_full | A Pilot Symbols Aided Adaptive Kalman Filter for Joint Carrier Phase and Polarization Tracking in Coherent Optical System |
| title_fullStr | A Pilot Symbols Aided Adaptive Kalman Filter for Joint Carrier Phase and Polarization Tracking in Coherent Optical System |
| title_full_unstemmed | A Pilot Symbols Aided Adaptive Kalman Filter for Joint Carrier Phase and Polarization Tracking in Coherent Optical System |
| title_short | A Pilot Symbols Aided Adaptive Kalman Filter for Joint Carrier Phase and Polarization Tracking in Coherent Optical System |
| title_sort | pilot symbols aided adaptive kalman filter for joint carrier phase and polarization tracking in coherent optical system |
| topic | coherent optical communication pilot aided adaptive Kalman filter phase noise dynamic polarization rotation |
| url | http://www.mdpi.com/2076-3417/9/1/27 |
| work_keys_str_mv | AT juntaocao apilotsymbolsaidedadaptivekalmanfilterforjointcarrierphaseandpolarizationtrackingincoherentopticalsystem AT yanfuyang apilotsymbolsaidedadaptivekalmanfilterforjointcarrierphaseandpolarizationtrackingincoherentopticalsystem AT qianxiang apilotsymbolsaidedadaptivekalmanfilterforjointcarrierphaseandpolarizationtrackingincoherentopticalsystem AT qunzhang apilotsymbolsaidedadaptivekalmanfilterforjointcarrierphaseandpolarizationtrackingincoherentopticalsystem AT linshengfan apilotsymbolsaidedadaptivekalmanfilterforjointcarrierphaseandpolarizationtrackingincoherentopticalsystem AT yongyao apilotsymbolsaidedadaptivekalmanfilterforjointcarrierphaseandpolarizationtrackingincoherentopticalsystem AT juntaocao pilotsymbolsaidedadaptivekalmanfilterforjointcarrierphaseandpolarizationtrackingincoherentopticalsystem AT yanfuyang pilotsymbolsaidedadaptivekalmanfilterforjointcarrierphaseandpolarizationtrackingincoherentopticalsystem AT qianxiang pilotsymbolsaidedadaptivekalmanfilterforjointcarrierphaseandpolarizationtrackingincoherentopticalsystem AT qunzhang pilotsymbolsaidedadaptivekalmanfilterforjointcarrierphaseandpolarizationtrackingincoherentopticalsystem AT linshengfan pilotsymbolsaidedadaptivekalmanfilterforjointcarrierphaseandpolarizationtrackingincoherentopticalsystem AT yongyao pilotsymbolsaidedadaptivekalmanfilterforjointcarrierphaseandpolarizationtrackingincoherentopticalsystem |