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Analysis of compressive sensing with optical mixing using a spatial light modulator.

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    Photonic compressive sensing (CS) uses a spatial light modulator (SLM) for faster signal mixing. However, the SLM

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    Area of Science:

    • Photonics
    • Signal Processing
    • Optical Engineering

    Background:

    • Compressive sensing (CS) is crucial for acquiring wideband sparse signals.
    • Photonic implementations offer high-speed signal acquisition.
    • Optical mixing with pseudorandom sequences is essential in photonic CS.

    Purpose of the Study:

    • To investigate the performance and limitations of photonic compressive sensing (CS) utilizing a spatial light modulator (SLM).
    • To develop a theoretical model for optical mixing based on frequency-to-time mapping in SLM-based photonic CS.
    • To identify and analyze the constraints imposed by the SLM on the pseudorandom sequence length.

    Main Methods:

    • Modulating sparse signals onto chirped optical pulses.
    • Encoding pseudorandom sequences onto a spatial light modulator (SLM) within a pulse shaper.
    • Implementing optical mixing in the frequency domain via frequency-to-time mapping.
    • Developing a theoretical model and conducting numerical and experimental verification.

    Main Results:

    • A theoretical model for optical mixing using frequency-to-time mapping in SLM-based photonic CS was established.
    • An upper limit on the pseudorandom sequence length for the SLM was identified, stemming from the far-field approximation.
    • Numerical and experimental results validated the theoretical findings regarding the SLM's limitations.

    Conclusions:

    • The length of the pseudorandom sequence significantly impacts CS signal recovery performance.
    • System design for photonic CS with frequency-domain optical mixing must consider the SLM's pseudorandom sequence length limitation.
    • Understanding these limitations is key to optimizing photonic CS system performance.