• Chinese Optics Letters
  • Vol. 20, Issue 2, 020603 (2022)
Shaohua Hu1, Jing Zhang1、*, Qun Liu1, Linchangchun Bai1, Xingwen Yi2, Bo Xu1, and Kun Qiu1
Author Affiliations
  • 1Key Laboratory of Optical Fiber Sensing and Communications, University of Electronic Science and Technology of China, Chengdu 611731, China
  • 2School of Electronics and Information Technology, Sun Yat-sen University, Guangzhou 510275, China
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    DOI: 10.3788/COL202220.020603 Cite this Article Set citation alerts
    Shaohua Hu, Jing Zhang, Qun Liu, Linchangchun Bai, Xingwen Yi, Bo Xu, Kun Qiu. Impacts of the measurement equation modification of the adaptive Kalman filter on joint polarization and laser phase noise tracking[J]. Chinese Optics Letters, 2022, 20(2): 020603 Copy Citation Text show less
    Measurement residuals of CKF and MKF.
    Fig. 1. Measurement residuals of CKF and MKF.
    Equalization model and state estimation process of MKF.
    Fig. 2. Equalization model and state estimation process of MKF.
    (a) Variance of process noise versus the measurement error; (b) variance of measurement noise versus the process noise.
    Fig. 3. (a) Variance of process noise versus the measurement error; (b) variance of measurement noise versus the process noise.
    Variance rate of measurement errors versus SNR.
    Fig. 4. Variance rate of measurement errors versus SNR.
    BER of the recovered signal versus OSNR. The scrambling rate is (a) 10 MHz and (b) 20 MHz. The reference curves (gray dashed lines) are under the back-to-back (B2B) case without RSOP.
    Fig. 5. BER of the recovered signal versus OSNR. The scrambling rate is (a) 10 MHz and (b) 20 MHz. The reference curves (gray dashed lines) are under the back-to-back (B2B) case without RSOP.
    (a) Signal qualities versus scrambling rates at the OSNR of 24 dB; (b) signal qualities versus scrambling rates at the OSNR of 20 dB.
    Fig. 6. (a) Signal qualities versus scrambling rates at the OSNR of 24 dB; (b) signal qualities versus scrambling rates at the OSNR of 20 dB.
    Initialization tolerance of Q/R parameter for linear CKF and MKF at the OSNR of 30 dB and 10 MHz scrambling rate. (a) CKF without Q/R adaptive algorithm; (b) CKF with Q/R adaptive algorithm; (c) MKF without Q/R adaptive algorithm; (d) MKF with Q/R adaptive algorithm.
    Fig. 7. Initialization tolerance of Q/R parameter for linear CKF and MKF at the OSNR of 30 dB and 10 MHz scrambling rate. (a) CKF without Q/R adaptive algorithm; (b) CKF with Q/R adaptive algorithm; (c) MKF without Q/R adaptive algorithm; (d) MKF with Q/R adaptive algorithm.
    ParameterValue
    Baud rate28 GBaud
    Pulse shapingRRC
    Training length100
    Signal linewidth100 kHz
    PMD coefficient0.1ps/km1/2
    Dispersion16 ps/(nm·km)
    Sampling rate112 GSa/s
    Rolling factor0.1
    Freq. offset100 MHz
    Fiber length400 km
    Linewidth (LO)100 kHz
    Table 1. Simulation Parameter Setup
    Filter TypeMin. OSNR at 10 MHz RSOP (dB)Max. RSOP at 24 dB OSNR (MHz)Max. RSOP at 20 dB OSNR (MHz)Initialization Tolerance without Adaptive Algorithm
    CKF22 22 Worse
    MKF19 37 20 Better
    Table 2. Performance Comparison for Kalman Filters
    Shaohua Hu, Jing Zhang, Qun Liu, Linchangchun Bai, Xingwen Yi, Bo Xu, Kun Qiu. Impacts of the measurement equation modification of the adaptive Kalman filter on joint polarization and laser phase noise tracking[J]. Chinese Optics Letters, 2022, 20(2): 020603
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