摘要
推广了多元正交小波包的概念,给出了多元多重向量值正交小波包的定义及其构造方法.讨论了这种向量值小波包的性质,由此得到空间L^2(R^n,C^r×r)的一组新的正交基.
The notion of orthogonal multivariate wavelet multivariate multiple vector-valued wavelet packets is packets given presented. The properties for the orthogonal multivariate discussed. Finally, a new orthogonal basis of L^2(R^n,C^r×r) is vector-valued wavelet packets. is generalized. The definition for orthogonal and a procedure for constructing them is multiple vector-valued wavelet packets are obtained by using the orthogonal muhivariate
出处
《北华大学学报(自然科学版)》
CAS
2006年第1期1-5,共5页
Journal of Beihua University(Natural Science)
基金
河南省自然科学基金项目(0211044800)
吉林省教育厅“十五”科研规划项目
关键词
正交
多元
向量值多分辨分析
向量值尺度函数
向量值小波包
Orthogonal
Multivariate
Vector-valued multiresolution analysis
Vector-valued scaling functions
Vector-valued wavelet packets