a尺度多重双向正交小波包

摘要

多小波由于可以同时拥有许多好的性质，成为研究热点，出于多通道滤波器理论研究的需要，研究a尺度小波成为必需。最近，杨守志教授引入正交双向多分辨分析和正交双向小波的理论。本文在以上研究的基础上，利用向量截断法，建立了a尺度正交多重小波包的理论框架，文章的研究是正交双向小波和正交双向小波包研究的最一般形式的推广。%Multiwavelet can passes many good properties simultaneously, so it become the research cen- tre of wavelet theory recently. In order to study the theory of multi--channel filter bank, the study of a scale wavelet is needed. Professor shouzhi Yang introduced the theory of Multifesolution and two--direc- tion Multiresolution and two--direction orthogonal wavelet. Based on the formers ~ study, by the method of the cut--off ofvectors, In this paper , we develop the theory of orthogonal two--direction Multiwavelet packet with scale a. And oyr study is the most generalization of the study in orthogonal two--direction wavelet and orthogonal two--direction wavelet packet.