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When magnetic nuclei in a sample achieve resonance and undergo relaxation, the signal detected in NMR is an approximately exponential free induction decay. Fourier transform of an exponential decay yields a Lorentzian peak in the frequency domain. Lorentzian peaks in an NMR spectrum are defined by their amplitude, full width at half maximum, and position, where the peak width is governed by the spin-spin relaxation time alone. In real experiments, however, the applied magnetic field is rendered...
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Correction algorithm of the frequency-modulated continuous-wave LIDAR ranging system.

Xinyu Cao, Ping Song, Zhikang Pan

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    |November 23, 2021
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    Summary
    This summary is machine-generated.

    A new algorithm, VMD-based refined cross-power spectral density (VRCPSD), improves Frequency-modulated continuous-wave LIDAR (FMCW LIDAR) performance. This method enhances signal correction, reducing ranging errors to the centimeter level for more accurate distance measurements.

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    Area of Science:

    • Optical Engineering
    • Signal Processing
    • Laser Technology

    Background:

    • Frequency-modulated continuous-wave LIDAR (FMCW LIDAR) offers high resolution and long-range capabilities compared to pulse LIDAR.
    • FMCW LIDAR systems are susceptible to environmental noise, spectrum aliasing, and spectrum leakage, degrading performance.
    • Existing filtering and signal transformation algorithms provide limited effectiveness in mitigating these issues.

    Purpose of the Study:

    • To propose and evaluate a novel signal correction algorithm for FMCW LIDAR systems.
    • To address limitations of traditional methods in handling noise and spectral distortions.
    • To enhance the accuracy and reliability of distance measurements in FMCW LIDAR.

    Main Methods:

    • Development of the VMD-based refined cross-power spectral density (VRCPSD) algorithm.
    • Integration of variational mode decomposition (VMD) for signal denoising.
    • Application of improved spectrum refinement and cross-power spectral density techniques for signal processing.

    Main Results:

    • The VRCPSD algorithm demonstrated superior spectrum correction performance on a high-speed linear array APD FMCW LIDAR experimental platform.
    • Comparison with traditional spectrum correction algorithms showed significant improvements.
    • The VRCPSD algorithm successfully reduced the margin of error to the centimeter level.

    Conclusions:

    • The VRCPSD algorithm effectively improves the signal waveform and spectral correction in FMCW LIDAR systems.
    • This advanced signal processing technique leads to more accurate distance measurements.
    • The VRCPSD algorithm shows significant promise for enhancing the practical applications of FMCW laser radar ranging.