Singularity detecting with the second generation wavelet
Binglian Xu, YI Xu-ming · Wuhan University Journal of Natural Sciences · 2004
Adopting the lifting scheme, introduced by Sweldens, a new wavelet is constructed. It overcomes the shortcoming of the classical wavelets that has no flexibility in the number of vanishing moment. Two examples are given to prove the second-generation wavelets's potentialities in the singularity detection of signal: a wavelet with vanishing moment and symmetry can be constructed according to the problem.