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Related Experiment Video

Updated: Oct 2, 2025

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
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Kalman filter polarization demultiplexing algorithm based on diagonalized matrix treatment.

Qi Zhang, Nan Cui, Xue Li

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    Summary

    A new diagonalized Kalman filter (DKF) simplifies polarization equalization in optical systems. This method significantly reduces computational complexity while maintaining high performance for polarization-division multiplexing.

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    Area of Science:

    • Optical Communications
    • Signal Processing
    • Filter Design

    Background:

    • Kalman filters (KF) are crucial for polarization equalization in coherent optical systems.
    • High dimensionality in KF algorithms leads to significant computational complexity, hindering practical application.
    • Polarization-division multiplexing (PDM) systems require efficient equalization techniques.

    Purpose of the Study:

    • To propose a novel, computationally efficient Kalman filter-based algorithm for polarization demultiplexing.
    • To introduce the diagonalized Kalman filter (DKF) by diagonalizing the state error covariance matrix.
    • To validate the DKF's performance in high-speed PDM QPSK and 16QAM coherent optical systems.

    Main Methods:

    • Implemented a diagonalized Kalman filter (DKF) by simplifying the state error covariance matrix.
    • Theoretically analyzed the feasibility and performance of the DKF.
    • Conducted simulations on 64 Gbaud PDM QPSK and 16QAM Nyquist systems under various impairments.

    Main Results:

    • The DKF achieved OSNR penalties within 0.5 dB for QPSK and 2 dB for 16-QAM compared to systems without impairment.
    • Demonstrated a computational complexity reduction of over 30% compared to the conventional KF.
    • Observed a convergence delay of approximately 50 symbols for the DKF.

    Conclusions:

    • The DKF offers a practical and efficient solution for polarization equalization in high-speed coherent optical communication systems.
    • The DKF effectively mitigates polarization impairments with minimal performance degradation.
    • The proposed DKF significantly reduces computational load, making it suitable for complex optical systems.