摘要
讨论框架多分辩分析{Vj}j∈Z的子空间V1中小波紧框架的存在性.根据泛函分析方法与矩阵理论,给出由子空间V1中的若干个函数γ1,γ2,…,γs成为小波紧框架的充分条件.
The existence of tight wavelet frames which are generated by several bivariate functions γ1,γ2,…,γs∈ V1 of a frame multiresolution analysis is discussed.A sufficient condition for the existence of wavelet tight frames generated from those functions{Vj}j∈Z is presented by virtue of functional analysis methods and matrix theory.
出处
《河南科学》
2009年第4期388-392,共5页
Henan Science
基金
国家自然科学基金资助项目(10671154)
关键词
框架多分辩分析
尺度函数
紧框架
加细方程
小波紧框架
frame multiresolution analysis
scaling function
tight frames
refinement equation
trivariate wavelet tight frame
