The Properties of a class of Higher-dimensional Composite Wavelet Packet Bases

被引：0
|
作者：
Li Hongwu [1 ]
Liao Dong [1 ]
机构：
[1] Nanyang Normal Univ, Sch Math & Stat, Nanyang 473061, Peoples R China
来源：
ADVANCED MEASUREMENT AND TEST, PARTS 1 AND 2 | 2010年 / 439-440卷
关键词：
Orthogonal; vector-valued wavelet packets; vector-valued scaling functions; bivariate; orthonormal wavelet packet bases; finite group theory; VECTOR-VALUED WAVELETS; MULTIWAVELETS;
D O I：
10.4028/www.scientific.net/KEM.439-440.1099
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
In this paper, we introduce a class of vector-valuedwavelet packets of space L(2) (R(d),C(r)), which are generalizations of multivariate wavelet packets. A procedure for constructing a class of biorthogonal vector-valued wavelet packets in higher dimensions is presented and their biorthogonality properties are characterized by virtue of matrix theory, time-frequency analysis method and operator theory. Three biorthogonality formulas regarding these wavelet packets are derived. Moreover, it is shown how to gain new Riesz bases of space L(2)(R(d),C(r)) from these wavelet packets. obtained.
引用
收藏
页码：1099 / 1104
页数：6
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