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High-spatial-resolution localization algorithm based on cascade deconvolution in a distributed Sagnac interferometer

Shaohua Pi, Bingjie Wang, Jiang Zhao

    Applied Optics
    |November 10, 2016
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    Summary

    This study introduces deconvolution to enhance spatial resolution in Sagnac fiber optic interferometers. The method improves localization accuracy by restoring the original invasion waveform.

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    Area of Science:

    • Optics and Photonics
    • Signal Processing
    • Interferometry

    Background:

    • Sagnac fiber optic interferometers are crucial for precise measurements.
    • Phase difference signals in these systems are often convolved with transfer functions, limiting spatial resolution.
    • Improving localization accuracy is essential for various applications.

    Purpose of the Study:

    • To introduce and validate a deconvolution-based algorithm for enhancing spatial resolution in Sagnac fiber optic interferometers.
    • To achieve a spatial resolution of 26 meters at a sampling rate of 4x10^6 s^-1.
    • To restore the original invasion waveform for further analysis.

    Main Methods:

    • The algorithm involves transforming the phase difference signal into the real cepstrum domain.
    • It utilizes coarse and fine sweeping of the transfer function to narrow down the invasion distance.
    • The minimum standard deviation of the restored invasion waveform is used as the primary criterion.

    Main Results:

    • The deconvolution method successfully improves spatial resolution for localization.
    • A spatial resolution of 26 meters was achieved with the specified sampling rate.
    • The original invasion waveform was restored as a byproduct, offering pure characteristics.

    Conclusions:

    • Deconvolution is an effective technique for enhancing spatial resolution in Sagnac fiber optic interferometers.
    • The restored waveform provides valuable data for subsequent processing, such as pattern recognition.
    • This approach offers a significant advancement in precise localization within fiber optic systems.