The Characterization of a kind of Vector-valued Multivariate Wavelet Packets with Composite Dilation Matrix

被引：0
|
作者：
Peng, Jing [1 ]
Li, Hua [2 ]
机构：
[1] Xian Univ Architecture & Technol, Sch Sci, Xian 710055, Peoples R China
[2] Xinyang Vocat & Tech Coll, Dept Comp Sci, Xinyang 464000, Peoples R China
来源：
ADVANCED MEASUREMENT AND TEST, PARTS 1 AND 2 | 2010年 / 439-440卷
关键词：
Biorthogonality; multivariate; vector-valued wavelet packets; refinable functions; para-unitary vector filter bank theory; Riesz bases; dilation matrix;
D O I：
10.4028/www.scientific.net/KEM.439-440.932
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 article, the notion of a kind of multivariate vector-valued wavelet packets with composite dilation matrix is introduced. A new method for designing a kind of biorthogonal vector-valued wavelet packets in higher dimensions is developed and their biorthogonality property is investigated by virtue of matrix theory, time-frequency analysis method, and operator theory. Two biorthogonality formulas concerning these wavelet packets are presented. Moreover, it is shown how to gain new Riesz bases of space L-2(R-u,C-v) by constructing a series of subspace of wavelet packets.
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页码：932 / +
页数：2
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