摘要
研究高维向量值双正交小波包的构造及性质.引进一类紧支撑高维向量值双正交小波包的概念.运用傅立叶变换、积分变换和算子理论,讨论了这种向量值双正交小波包的性质.
This paper is to investigate the biorthogonal vector-valued wavelet packets in higher dimensions. A class of compactly supported biorthogonal vector-valued multivariate wavelet packets are defined and constructed. By using Fourier transform integral tramsform and operator theory,the properties of the biorthogonal multi- variate vector-valued wavelet packets are investigated and biorthogonality formulae are obtained.
出处
《河北大学学报（自然科学版）》
CAS
北大核心
2006年第6期565-569,共5页
Journal of Hebei University(Natural Science Edition)
基金
国家自然科学基金资助项目(10371105)
河南省自然科学基金资助项目(0211044800)
关键词
双正交
高维
向量值多分辨分析
向量值尺度函数
向量值小波包
biorthogonal
multivariate
vector-valued multiresolution analysis
vector-valued scaling function
vector-valued wavelet packets
