• Acta Optica Sinica
  • Vol. 45, Issue 6, 0601010 (2025)
Yuehui Song*, Xinying Liu, Shichun Li, Fei Gao..., Yufeng Wang and Dengxin Hua|Show fewer author(s)
Author Affiliations
  • School of Mechanical and Precision Instrumental Engineering, Xi’an University of Technology, Xi’an 710048, Shaanxi , China
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    DOI: 10.3788/AOS241499 Cite this Article Set citation alerts
    Yuehui Song, Xinying Liu, Shichun Li, Fei Gao, Yufeng Wang, Dengxin Hua. Research on Processing Algorithms for Ground-Based Mie Lidar Echo Signal Based on Compressed Sensing[J]. Acta Optica Sinica, 2025, 45(6): 0601010 Copy Citation Text show less
    Lidar echo signal of the ground-based Mie lidar
    Fig. 1. Lidar echo signal of the ground-based Mie lidar
    Frequency characteristics of the ground-based Mie lidar echo signal
    Fig. 2. Frequency characteristics of the ground-based Mie lidar echo signal
    Wavelet decomposition coefficient of Mie lidar echo signal. (a)(b) Low-frequency coefficients and high-frequency coefficients of the first level decomposition; (c)(d) low-frequency coefficients and high-frequency coefficients of the second level decomposition; (e)(f) low-frequency coefficients and high-frequency coefficients of the third level decomposition
    Fig. 3. Wavelet decomposition coefficient of Mie lidar echo signal. (a)(b) Low-frequency coefficients and high-frequency coefficients of the first level decomposition; (c)(d) low-frequency coefficients and high-frequency coefficients of the second level decomposition; (e)(f) low-frequency coefficients and high-frequency coefficients of the third level decomposition
    Reconstructed lidar signal with the threshold processed wavelet decomposition coefficient
    Fig. 4. Reconstructed lidar signal with the threshold processed wavelet decomposition coefficient
    Simulation flow for reconstructing lidar echo signal based on CS
    Fig. 5. Simulation flow for reconstructing lidar echo signal based on CS
    Reconstructed signal and original signal in one experiment
    Fig. 6. Reconstructed signal and original signal in one experiment
    Comparison of original signal with reconstructed signals of different SNRs. (a) Original signal; (b) 35 dB; (c) 30 dB; (d) 25 dB; (e) 20 dB; (f) 15 dB; (g) 10 dB
    Fig. 7. Comparison of original signal with reconstructed signals of different SNRs. (a) Original signal; (b) 35 dB; (c) 30 dB; (d) 25 dB; (e) 20 dB; (f) 15 dB; (g) 10 dB
    Reconstruction effect when the SNR of input signal is different. (a) SNR of input signal; (b) increment of SNR; (c) C; (d) RMSE
    Fig. 8. Reconstruction effect when the SNR of input signal is different. (a) SNR of input signal; (b) increment of SNR; (c) C; (d) RMSE
    Processing effect of OMP algorithm on Gaussian white noise. (a) Input noise; (b) noise processed by OMP algorithm
    Fig. 9. Processing effect of OMP algorithm on Gaussian white noise. (a) Input noise; (b) noise processed by OMP algorithm
    Comparison of standard atmosphere model and retrieved extinction coefficient from reconstructed signal. (a) Extinction coefficient of aerosols in standard atmosphere model; (b) extinction coefficient of reconstructed echo signal inversion under 30 dB SNR conditions
    Fig. 10. Comparison of standard atmosphere model and retrieved extinction coefficient from reconstructed signal. (a) Extinction coefficient of aerosols in standard atmosphere model; (b) extinction coefficient of reconstructed echo signal inversion under 30 dB SNR conditions
    Errors of retrieved extinction coefficient. (a) Absolute error; (b) relative error
    Fig. 11. Errors of retrieved extinction coefficient. (a) Absolute error; (b) relative error
    ParameterValue
    TransmitterNd∶YAG laser
    Wavelength /nm532
    Half-beam divergence /mrad0.2
    ReceiverSchmidt-cassegrain telescope
    Diameter of primary mirror /m0.254
    Half field angle /mrad0.3
    Optical axis distance /m0.2
    Table 1. Transceiver system parameters of the Mie lidar
    Experiment No.CRMSE
    10.99981.732×10-19
    20.99981.414×10-19
    30.99981.732×10-19
    40.99981.414×10-19
    50.99981.015×10-18
    60.99981.010×10-18
    70.99991.414×10-19
    80.99991.732×10-19
    90.99981.414×10-19
    100.99991.010×10-18
    Average0.999834.1202×10-19
    Table 2. Performance of the ten reconstruction experiments
    SNR of input signal /dBSNR of reconstructed signal /dBCRMSE /10-13Increment of SNR /dB
    3537.1440.99970.57632.144
    3032.1430.99911.03302.143
    2527.1440.99721.76902.144
    2022.1440.99193.26502.144
    1517.1420.97005.91202.142
    1012.1120.92579.93702.112
    Table 3. Reconstruction effect when SNR of input signal is different
    Yuehui Song, Xinying Liu, Shichun Li, Fei Gao, Yufeng Wang, Dengxin Hua. Research on Processing Algorithms for Ground-Based Mie Lidar Echo Signal Based on Compressed Sensing[J]. Acta Optica Sinica, 2025, 45(6): 0601010
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