Designment Algorithm on Orthogonal Two-directional Vector-valued Wavelets with Three-scale Dilation Factor

摘要

In this work,the notion of orthogonal two-directional shortly supported wavelets with poly-scale is developed.A new method for designing two-directional orthogonal wavelet wraps is proposed and their properties is investigated by means of time-frequency analysis methodand,operator theory.The existence of shortly supported orthogonal two-directional vector-valued wavelets associated with a pair of orthogonal compactly supported vector-valued scaling functions is investigated.A new method for designing a sort of orthogonal shortly supported two-directional vector-valued wavelet functions is presented by using multiresolution analysis and matrix theory.