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    Passive speckle patterns in multimode waveguides can create effective measurement matrices for compressive sensing (CS). This microwave photonic approach offers a path toward integrated circuits for sparse gigahertz-band RF signal measurement.

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    Area of Science:

    • Photonics
    • Signal Processing
    • Microwave Engineering

    Background:

    • Compressive sensing (CS) offers advantages over traditional methods for RF signal sampling.
    • Developing efficient measurement matrices (MMs) is crucial for CS system performance.
    • Microwave photonics presents a promising avenue for compact and power-efficient CS systems.

    Purpose of the Study:

    • To investigate passive speckle patterns in multimode waveguides as potential MMs for CS.
    • To evaluate the performance of these speckle MMs for gigahertz-band RF signals.
    • To explore the feasibility of integrated photonic circuits for CS applications.

    Main Methods:

    • Measurement and calculation of MMs from multimode fibers and planar waveguides.
    • CS system simulations utilizing the measured and calculated speckle MMs.
    • Analysis of speckle MM properties, including phase transition and coherence, compared to sub-Gaussian MMs.

    Main Results:

    • Speckle patterns in multimode waveguides exhibit properties suitable for CS MMs.
    • Speckle MMs demonstrate robust performance for sparse signals in time, frequency, and wavelet domains.
    • Multimode planar waveguides can be engineered to produce speckle MMs comparable to those from multimode fibers.

    Conclusions:

    • Passive speckle patterns in multimode waveguides are viable MMs for compressive sensing.
    • This research paves the way for integrated microwave photonic CS systems for RF signal measurement.
    • The proposed method offers a potential solution for high-performance, compact RF signal acquisition.