Single pulse threshold detection method with lifting wavelet denoising based on modified particle swarm optimization

We proposed a single pulse threshold detection method with lifting wavelet denoising algorithm based on modified particle swarm optimization (MPSO). The detection probability and false alarm probability of single pulse fixed threshold, variable threshold and random threshold detection were simulated and analyzed. The results show that in the condition of low signal-to-noise ratio (SNR), false alarm probability can be constant, and the detection probability of the target detection could be effectively enhanced using random threshold detection. But random threshold detection method has defect. Therefore, the modified lifting wavelet adaptive nonlinear denoised algorithm was put forward with MPSO. The simulation and experimental results show that the algorithm can make up defect of random threshold detection and effectively improve the SNR of echo signal. It provides theoretical basis and implementation method for weak echo signal detection.