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多元多重向量值双正交小波包的刻划
引用本文:方勤华,徐冬梅.多元多重向量值双正交小波包的刻划[J].兰州理工大学学报,2007,33(4):138-142.
作者姓名:方勤华  徐冬梅
作者单位:1. 信阳师范学院,数学与信息科学学院,河南,信阳,464000
2. 西安交通大学,附属中学,陕西,西安,710048
基金项目:河南省自然科学基金(0511013500)
摘    要:给出多元多重向量值双正交小波包的定义及其构造方法.运用积分变换与矩阵理论,刻划它们的性质,得到两个双正交公式.

关 键 词:双正交  多元  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
文章编号:1673-5196(2007)04-0138-05
修稿时间:2006-03-27

Characterization of biorthogonal multiple vector-valued multivariate wavelet packets
FANG Qin-hua,XU Dong-mei.Characterization of biorthogonal multiple vector-valued multivariate wavelet packets[J].Journal of Lanzhou University of Technology,2007,33(4):138-142.
Authors:FANG Qin-hua  XU Dong-mei
Abstract:The definition of the biorthogonal multiple vector-valued multivariate wavelet packets and a procedure for constructing them were given.Their properties were characterized by using integral transformation and matrix theory.Two biorthogonality formulae for the multiple vector-valued multivariate wavelet packets were obtained.
Keywords:biorthogonality  multivariable  vector-valued multi-resolution analysis  multiple vector-valued scaling functions  multiple vector-valued wavelet packets
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