Fig. 1. Shearlets frequency domain segmentation and its supporting basis

Fig. 2. Atmospheric aerosol lidar GBQ L-01

Fig. 3. The spatiotemporal distribution of aerosols over the entire sky on July 27, 2017. (a) Parallel component distance squared correction signal; (b) Vertical component distance squared correction signal; (c) Polarization ratio

Fig. 4. Changes observed by lidar on July 27, 2017. (a) 532 nm wavelength PRR signal strength; (b) Boundary layer height inversion using gradient method, wavelet covariance method, and wavelet multi-scale method for 532 nm wavelength

Fig. 5. Scatter plot of atmospheric boundary layer height comparison. （a） The scatter plot of PBLH_WCT compared to PBLH_Shearlet; （b）The scatter plot of PBLH_Gradient compared to PBLH_Shearlet

Fig. 6. Vertical component distance squared correction signal, time scale energy spectrum at 08:00:45

Fig. 7. Vertical component distance squared correction signal, time scale energy spectrum at 18:30:36

Fig. 8. Vertical component distance squared correction signal, time scale energy spectrum at 23:00:37