Echo Signal Extraction Based on Improved Singular Spectrum Analysis and Compressed Sensing in Wavelet Domain

A novel framework of signal extraction is proposed based on improved singular spectrum analysis (SSA) and compressed sensing (CS) for laser radar. The improved signal selection method, which locates a cut-off point on the singular spectrum curve, is fused into the SSA to reduce the noise. Afterward, the CS in the wavelet domain is employed to acquire the observation vector, and the improved reconstruction algorithm with a hard threshold denoising method reduces the noise furthermore. The simulations and experiments are performed to verify the superiority of the proposed algorithm compared with other algorithms. The proposed algorithm can enhance a signal-to-noise ratio while reducing the distortion of the received signal.