一类高维向量值双正交小波包  

A Class of Biorthogonal Multivariate Vector-valued Wavelet Packets

作　　者：陈清江[1] 李淑玲[2] 李学志[3] 程正兴[1] 

机构地区：[1]西安建筑科技大学理学院 [2]商丘职业技术学院计算机系,河南商丘476000 [3]信阳师范学院数学系,河南信阳464000

出　　处：《河北大学学报（自然科学版）》2006年第6期565-569,共5页Journal of Hebei University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10371105);河南省自然科学基金资助项目(0211044800)

摘　　要：研究高维向量值双正交小波包的构造及性质.引进一类紧支撑高维向量值双正交小波包的概念.运用傅立叶变换、积分变换和算子理论,讨论了这种向量值双正交小波包的性质.This paper is to investigate the biorthogonal vector-valued wavelet packets in higher dimensions. A class of compactly supported biorthogonal vector-valued multivariate wavelet packets are defined and constructed. By using Fourier transform integral tramsform and operator theory,the properties of the biorthogonal multi- variate vector-valued wavelet packets are investigated and biorthogonality formulae are obtained.

关 键 词：双正交 高维 向量值多分辨分析 向量值尺度函数 向量值小波包 

分 类 号：O174.2[理学—数学]