Abstract: A continuous wavelet transform detection algorithm based on singularity information is proposed, which is used to detect shock wave signal. It is shown that prior information regarding the singularity of the signal to be detected is efficiently incorporated into the detection problem formulation. Based on the generalized likelihood ratio test, the theoretical analysis and experimental analysis of the detection performance of the algorithm are carried out. The theoretical analysis and simulation experiments show that the proposed detection algorithm can effectively improve the detection performance under low SNR.