关于向量值双正交小波的构造算法  

An algorithm for construction of biorthogonal vector-valued wavelets

作　　者：陈清江[1,2] 胡松瀛[3] 程正兴[2] 

机构地区：[1]西安建筑科技大学理学院,陕西西安710055 [2]西安交通大学理学院,陕西西安710049 [3]商丘职业技术学院机电工程系,河南商丘476000

出　　处：《兰州理工大学学报》2009年第1期152-155,共4页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(10571113);陕西省教育厅专项科研基金(08JK340)

摘　　要：引进向量值双正交小波的概念.给出向量值双正交小波存在的条件.利用多分辨分析与时频分析理论,给出一类紧支撑向量值双正交小波的构造算法.The concept of biorthogonal vector-valued wavelet were introduced. A necessary condition for the existence of biorthogonal vector-valued wavelets was given. An algorithm for constructing a class of compactly supported biorthogonal vector-valued wavelets was proposed by using multiresolution analysis and theory.

关 键 词：双正交 向量值多分辨分析 向量值小波 加细方程 RIESZ基 

分 类 号：O174.2[理学—数学]