Application of Wavelet Analysis inSignal Singularity Detection

The wavelet transformation can be used to determine the location of mutation of signals.However,further research discovered that the single sub-band algorithm improved from wavelet transformation could recognize the singular signal of the first type effectively,but it could not recognize the singular signal of second type.The reason of resulting this problem is that the improved algorithm did not transfer the signal smoothly.This paper proposed the improved single sub-band reconstruction algorithm,and resolved the issue of recognizing the transient signal of the second type by introducing transition functions.The effectiveness of this method has been proved by related experiments.