摘要
引进了仿射伪框架的概念,建立了广义多分辨结构的塔式分解格式,给出了塔式分解格式成立的充要条件.由塔式分解格式导出空间L2(R)的函数仿射框架展式.
The definition of aftine pseudoframes for subspaces is introduced. The pyramid decomposition scheme of a generalized multiresolution structure is proposed, which is similar to Mallat＇s pyramid algorithm. A necessary and sufficient condition for the existence of the pyramid decomposition scheme is presented. Finally,affine frames of L^2（R） are constructed by virtue of the pyramid decomposition scheme.
出处
《信阳师范学院学报（自然科学版）》
CAS
北大核心
2007年第4期388-391,共4页
Journal of Xinyang Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(10671154)
西安建筑科技大学资助项目(RC0701
JC0718)
关键词
广义多分辨结构
塔式分解格式
子空间伪框架
仿射框架
generalized muhiresolution structure
pyramid decomposition scheme
pseudoframes of subspaces
affine frames
