摘要
研究高维矩阵值双正交小波包的构造及性质.引进了基于数量矩阵伸缩的紧支撑高维矩阵值正交小波包的概念.运用傅立叶变换、积分变换和算子理论,讨论了它们的性质,得到关于高维矩阵值小波包的双正交公式.
This article is to investigate biorthogonal matrix-valued wavelet packets in higher dimensions. A class of compactly supported biorthogonal matrix-valued multivariate wavelet packets are defined and constructed. The properties of the biorthogoanl multivariate matrix-valued wavelet packets are investigated and biorthogonality formulae are obtained by using the Fourier transform and operator theoy.
出处
《江西师范大学学报（自然科学版）》
CAS
北大核心
2007年第4期370-374,共5页
Journal of Jiangxi Normal University(Natural Science Edition)
基金
河南省自然科学基金项目(0511013500)
关键词
双正交
高维
矩阵值多分辨分析
矩阵值尺度函数
矩阵值小波包
biorthogonal
multivariate
matrix-valued muhiresolution analysis
matrix-valued scaling function
matrix-valued wavelet packets
