Detection of transients using discrete wavelet transform

A scheme for the detection of transient signals with unknown waveforms and arrival times is presented. The detection is performed in the discrete wavelet transform (DWT) domain, where the presence of a transient is indicated by a peak at a location that depends on the values of the dilation and translation parameters. By choosing these parameters appropriately one can control the sharpness of this peak as well as the distance between different peaks that correspond to different arrival times. As a result, transients that partially overlap in time can be resolved in the DWT domain. The DWT domain preserves the arrival time information even when the transient is corrupted by additive zero-mean noise at a very low signal-to-noise ratio