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基于广义多分辨结构的多尺度平移伪框架
Translation Pseud of Rames with Muti-scale Based on A Pyramid Decomposition Scheme
【摘要】 推广了双正交小波的概念.引进了多尺度平移伪框架的概念.给出了它的塔式分解格式及其存在的条件.进而得到平方可积函数空间的函数仿射伪框架展式.
【Abstract】 The notion of a generalized multiresolution structure biorthogonal wavelets is introduced,and the concept of affine pseudoframes of L2(R) is given. The pyramid decomposition scheme of a generalized multiresolution structure is presented,which is similar to Mallat’s pyramid algorithm.Anecessary and sufficient condition for the existence of the pyramid decomposition scheme is presented.Moreover,affine frame pseudoframe expansions of L2(R) are constructed by virtue of the pyramid decomposition scheme.
【关键词】 广义多分辨结构；
平移伪框架；
塔式分解格式；
仿射伪框架；
【Key words】 generalized multiresolution structure； translation pseudoframes； pyramid decomposition scheme； affine pseudoframes；
【Key words】 generalized multiresolution structure； translation pseudoframes； pyramid decomposition scheme； affine pseudoframes；
【基金】 国家自然科学基金资助项目(10571113)
- 【文献出处】 淮阴师范学院学报(自然科学版) ,Journal of Huaiyin Teachers College(Natural Science Edition) , 编辑部邮箱 ,2009年01期
- 【分类号】TN911.7
- 【下载频次】17