A Novel Weighted Wavelet with Subdivision
一种新的细分加权小波

A novel weighted wavelet is constructed by using the subdivision scheme andrecursive average interpolated method.Its characteristics is respectively proved to be compactsupported,smooth,vanishing moment,and orthogonal.Cornpared with the common waveletby the Fourier transform,the decay of weighted wavelet coefficient is faster than that of thecommon wavelet.Furthermore,the method is simple and easily applied.Its computationalcomplexity is greatly reduced.The simulation demonstrate that the weighted wavelet issufficiently smooth even though the weighted function has a large jump,and that it canapproximate functions exactly and the approximated convergence is faster.