Research on the Wavelet-Based Algorithms for Signal Singularity Detection
Zhang De-feng · Computer Engineering and Science · 2007
The paper uses the characteristics of wavelet multiresolution to decompose singularity signals,and locates the singularity positions of singularity signals using the decomposed signals.The Lipschitz index is used to describe the function singularity quantitatively.When the wavelet transform scale becomes tinier and tinier,the maximum signal singularity points' attenuation speed of the wavelet transform modulus depends on the Lipschitz index of the relevant singularity point.Wavelet transform can not only decide the generation time of the singularity point,but also judge the singularity property further.