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Distributed sparse signal sensing based on compressive sensing OFDR.

Shuai Qu, Zengguang Qin, Yanping Xu

    Optics Letters
    |June 16, 2020
    PubMed
    Summary
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    This study introduces a novel multi-frequency sub-Nyquist sampling method for optical frequency domain reflectometry (OFDR) systems. The technique enhances detectable vibration frequencies, overcoming limitations of traditional laser tuning rates.

    Area of Science:

    • Optical Engineering
    • Signal Processing
    • Vibration Analysis

    Background:

    • Optical frequency domain reflectometry (OFDR) systems face limitations in maximum detectable vibration frequency due to laser source tunable rates.
    • Conventional time-resolved methods with uniform sampling are constrained by these laser tuning speeds.
    • There is a need for advanced sampling techniques to improve OFDR performance in vibration monitoring.

    Purpose of the Study:

    • To develop and validate a novel sampling method for OFDR systems to enhance detectable vibration frequencies.
    • To overcome the limitations imposed by the laser source's tunable rate in OFDR.
    • To enable high-performance vibration analysis for structural condition evaluation.

    Main Methods:

    • Implemented a multi-frequency sub-Nyquist sampling method with randomly modulated sampling frequencies.

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  • Utilized compressive sensing techniques for the reconstruction of the vibration signal.
  • Conducted theoretical analysis to prove method equivalence to conventional approaches and performed proof-of-concept experiments.

    • Main Results:

    • Demonstrated that the proposed method achieves the same performance as conventional OFDR methods.
    • Successfully recovered sparse vibration signals up to 200 Hz with a laser sweeping rate of 40 nm/s.
    • Achieved vibration signal recovery with sampling rates below the Nyquist criterion.

    Conclusions:

    • The developed multi-frequency sub-Nyquist sampling method significantly enhances the measurable vibration frequency in OFDR systems.
    • This technique offers a viable solution for high-performance OFDR, particularly for evaluating the intrinsic frequencies of structural conditions.
    • The method represents a substantial advancement for OFDR applications requiring precise vibration analysis.