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    Area of Science:

    • Optics and Photonics
    • Computer Vision
    • Signal Processing

    Background:

    • Traditional LiDAR systems often rely on raster scanning, which can be time-consuming.
    • Achieving high signal-to-noise ratios in depth mapping can be challenging with detector-array based schemes.

    Purpose of the Study:

    • To develop an inexpensive architecture for converting frequency-modulated continuous-wave (FMCW) LiDAR into a compressive-sensing (CS) based depth-mapping camera.
    • To reduce the number of measurements required for depth map acquisition using compressive sensing techniques.

    Main Methods:

    • Utilizing compressive sensing instead of raster scanning to acquire depth information.
    • Employing a system ideally requiring two difference detectors, leveraging heterodyne detection and background subtraction.
    • Solving two linear equations with convex optimization methods to extract depth data from compressed measurements.

    Main Results:

    • Significantly reduced number of measurements compared to traditional scanning methods.
    • Achieved higher signal-to-noise ratios over detector-array based schemes.
    • Enabled faster scene scanning and efficient data storage (2m points from an n-pixel scene, m < n).

    Conclusions:

    • The proposed architecture offers an inexpensive and efficient solution for depth mapping using FMCW LiDAR.
    • Compressive sensing enables faster data acquisition and improved signal quality in depth-mapping applications.
    • The method allows for straightforward depth extraction through convex optimization, making it practical for real-world implementation.