摘要
研究向量值小波包.给出一类3尺度多重向量值双正交小波包的定义及构造.运用积分理论与算子理论,刻划了多重向量值双正交小波包的特征,得到多重向量值小波包的双正交公式.进而,得到向量值函数空间L2R,Cs×s)新的Riesz基.
It is been to investigate the vector-valued wavelet packets. A class of 3 - scale biorthogonal multiple vector-valued wavelet packets is defined and a procedure for constructing them is presented. The properties for the biorthogonal multiple vector-valued wavelet packets are characterized. Biorthogonality fomulae for the multiple vector-valued wavelet packets are obtained. Furthermore, new Riesz bases of L^2 （R, C^s×s） are constructed from the biorthogonal multiple vector-valued wavelet packets.
出处
《云南大学学报（自然科学版）》
CAS
CSCD
北大核心
2006年第6期472-477,482,共7页
Journal of Yunnan University(Natural Sciences 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
多重
向量值多分辨分析
向量值尺度函数
向量值小波
向量值小波包
biorthogonal
multiple
vector-valued multiresolution analysis
vector-valued scaling functions
vector-valued wavelet
vector-valued wavelet packets
