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Shumin Pan, Qiang Ge, Gang Zhang

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    This study enhances ellipse fitting algorithms (EFAs) for 3x3 coupler demodulation, improving performance with small signals. The new method boosts accuracy and dynamic range, ensuring reliable phase demodulation.

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    Area of Science:

    • Optical Engineering
    • Signal Processing

    Background:

    • Ellipse fitting algorithms (EFAs) are crucial for 3x3 coupler demodulation, but struggle with small stimulating signals.
    • Existing methods require high symmetry in 3x3 couplers, limiting their application.

    Purpose of the Study:

    • To address the limitations of EFAs with small signals in 3x3 coupler demodulation.
    • To improve the accuracy and dynamic range of phase demodulation systems.

    Main Methods:

    • Introduced a phase shift judgment module to determine EFA execution based on Lissajous figure size.
    • Implemented real-time parameter updates for continuous ellipse correction.
    • Developed a method to maintain EFA functionality under small phase shift conditions.

    Main Results:

    • Improved total harmonic distortion (THD) by 1.28% compared to standard EFA at 30 mV stimulus amplitude.
    • Achieved a dynamic range of 125.64 dB @ 1 kHz with 1% THD.
    • Demonstrated enhanced accuracy in phase demodulation.

    Conclusions:

    • The proposed algorithm effectively overcomes EFA limitations with small signals.
    • The enhanced EFA significantly improves the performance and dynamic range of 3x3 coupler demodulation systems.
    • Real-time parameter updates ensure high precision and reliable phase demodulation.