Effects of filter length and vanishing moment on the construction of biorthonormal wavelets
Ding Xuan-hao · Journal of Guilin University of Electronic Technology · 2007
Several good quality biorthonormal bases of compactly supported symmetrical wavelets with high-ordered vanishing moment had been constructed before.However,further study needs to be done regarding how filter length and vanishing moment influence the construction of these wavelets.Our study leads us to such a finding that in constructing even length and odd length symmetrical wavelets with vanishing moment respectively only the even-order and odd-order derivatives are needed respectively.The quantity of computation can thus be cut down to a half.We have also studied a few examples and obtained results of the format of these wavelets as well as the number of order of vanishing moment.