• Chinese Optics Letters
  • Vol. 14, Issue 11, 110601 (2016)
Yanfu Yang1, Qun Zhang1, Yong Yao1、*, Guoliang Cao1, Kangping Zhong2, Xian Zhou2, Alan Pak Tao Lau2, and Chao Lu3
Author Affiliations
  • 1Department of Electronic and Information Engineering, Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen 518055, China
  • 2Photonics Research Center, Department of Electrical Engineering, The Hong Kong Polytechnic University, Hong Kong, China
  • 3Photonics Research Center, Department of Electronic and Information Engineering, The Hong Kong Polytechnic University, Hong Kong, China
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    DOI: 10.3788/COL201614.110601 Cite this Article Set citation alerts
    Yanfu Yang, Qun Zhang, Yong Yao, Guoliang Cao, Kangping Zhong, Xian Zhou, Alan Pak Tao Lau, Chao Lu. Decision-free radius-directed Kalman filter for universal polarization demultiplexing of square M-QAM and hybrid QAM signals[J]. Chinese Optics Letters, 2016, 14(11): 110601 Copy Citation Text show less

    Abstract

    We propose and experimentally demonstrate a universal and blind polarization-state tracking scheme for M-quadrature amplitude modulation (QAM) signals based on a decision-free radius-directed linear Kalman filter (RD-LKF). The polarization tracking performance is investigated through simulation and experiments for both quadrature phase-shift keying (QPSK) and 16-QAM signals. The influence of the filter parameters on the static polarization demultiplexing performance and dynamic tracking capability are discussed via simulation. The optimization strategy of the filter parameters in modulation-format-independent scenarios is proposed and simulations are carried out to evaluate the polarization demultiplexing penalty for QPSK, 16QAM, and hybrid QPSK/16QAM signals. Finally, the proposed decision-free RD-LKF is experimentally compared to the respective algorithms of constant modulus algorithm and multimodulus algorithm for QPSK and 16-QAM and the advantage of ultrafast polarization tracking ability is confirmed.
    Z(t)=αJ(t)[X(t)·ej(Δωt)·ejθ(t)+ξ(t)],(1)

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    U(t)=X(t)·ej(Δωt)·ejθ(t)+ξ(t)=[αJ(t)1]Z(t)=[a(t)+jb(t)c(t)+jd(t)c(t)+jd(t)a(t)jb(t)][Zx(t)Zy(t)].(2)

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    H(k)=[Zx(k)jZx(k)Zy(k)jZy(k)Zy(k)jZy(k)Zx(k)Zx(k)],(3)

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    S(k)=[a(k)b(k)c(k)d(k)]T,(4)

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    U(k)=H(k)S(k)+v(k),(5)

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    S(k)=S(k1)+w(k),(6)

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    S(k)=S(k1),(7)

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    P(k)=P(k1)+Q,(8)

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    K(k)=P(k)HT(k)[H(k)P(k)HT(k)+R]1,(9)

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    ΔU(k)=Uc(k)U(k)=Uc(k)H(k)S(k),(10)

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    S(k)=S(k)+K(k)ΔU(k),(11)

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    P(k)=P(k)K(k)H(k)P(k).(12)

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    Yanfu Yang, Qun Zhang, Yong Yao, Guoliang Cao, Kangping Zhong, Xian Zhou, Alan Pak Tao Lau, Chao Lu. Decision-free radius-directed Kalman filter for universal polarization demultiplexing of square M-QAM and hybrid QAM signals[J]. Chinese Optics Letters, 2016, 14(11): 110601
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