Eight-Band Orthogonal Wavelets for Fast Calculation

Abstract

The symmetry or anti-symmetry 8-bank orthogonal wavelet filters for fast calculation with high order vanishing moment and short support are constructed by using the ingenious structure. The low-pass filter can determine seven high-pass filters by changing the sign and position in this wavelet system. This construction brings a lot of convenience for our calculation, which can be applied to the engineering background for using the free degrees.