摘要
引进了基于数量矩阵伸缩的紧支撑多元多重向量值双正交小波包的概念.运用泛函分析方法、傅立叶变换与积分变换,讨论了它们的双正交性,得到关于多元多重向量值小波包的双正交公式.
The notion of a class of compactly supported biorthogonal multiple vaector-valued multivariate wavelet packets, which are associated with a quantity dilation matrix, is introduced. The biorthogonality properties of the multiple vaector-valued wavelet packets in higher dimensions are investigated by virtue of functional analysis methods and Fourier transform, and biorthogonality formulae regarding these wavelet packets are obtained.
出处
《河南大学学报（自然科学版）》
CAS
北大核心
2007年第5期444-447,共4页
Journal of Henan University:Natural Science
基金
河南自然科学基金资助项目(0511013500)
关键词
多元
双正交
多重向量值多分辨分析
多重向量值尺度函数
多重向量值小波包
multivariate
biorthogonal, multiple vaector- valued multiresolution analysis
multiple vaector- valued scaling function
multiple vaector-valued wavelet packets
