Wavelet Transform and its Application to ICESat-GLAS Full Waveform Data

Based on wavelet transform (WT), this paper proposed an approach to extract ICESat/GLAS full waveform characteristics. Through wavelet decomposition of the full waveform data, setting the threshold function and reconstructing signal, the filtered waveforms were achieved. All comparisons were performed on simulated LiDAR full waveform signals with typical back scattering noise. In the simulation and comparison, the root mean square error (RMSE) of the coefficients dropped by 0.7188 in this way, and the Signal-to-Noise Ratio (SNR) increased by 16.17 dB. The results showed that the wavelet transform method was better than the Gaussian method on de-noising and the signal by wavelet transform reserved useful information of the echo waveform. In the filtering process, the wavelet transform can effectively suppress the waveform "overlay" problem.