郑州大学学报（理学版）2012，Vol.44Issue(3)：61-65,5.DOI:10.3969/j.issn/1671-6841.2012.03.016
具有整数伸缩因子的多变量向量值双正交多小波包
Biorthogonal Vector-valued Multivariable Multiwavelet Packets with an Integer-valued Dilation Factor
摘要
Abstract
The definition of the biorthogonal vector-valued multivariate multiwavelet packets was given and vector-valued multiresolution analysis was introduced. A procedure for construction was presented. The properties for the biorthogonal multiple vector-valued multivariate wavelet packets were investigated by virtue of iterative algorithms and operator theory. Biorthogonality formulas concerning these wavelet packets were formulated. Finally, a new basis of L2 ( Rs,Cn ) was constructed by using the biorthogonal multiple vector-valued multivariate wavelet packets.关键词
多变量/多重/双正交/向量值多分辨分析/迭代算法/向量值小波包Key words
multivariable/ multiple/ biorthogonal/ vector-valued multiresolution analysis/ iterative algorithm/ vector-valued wavelet packets分类
数理科学引用本文复制引用
朱玉清,卫艳荣,程正兴..具有整数伸缩因子的多变量向量值双正交多小波包[J].郑州大学学报（理学版）,2012,44(3):61-65,5.基金项目
国家自然科学基金资助项目,编号10571113 （）
陕西省自然科学基金资助项目,编号2009JM1002. （）
