The Properties of Vector-valued Higher-dimensional Wavelet Packets

被引：0
|
作者：
Wang Xiao-feng [1 ]
Luo Ping [2 ]
机构：
[1] Pingdinoshan Inst Technol, Dept Elementary Sci, Pingdingshan 467001, Peoples R China
[2] Henan Polytech Inst, Dept Elementary Sci, Nanyang 473009, Peoples R China
来源：
ICNC 2008: FOURTH INTERNATIONAL CONFERENCE ON NATURAL COMPUTATION, VOL 4, PROCEEDINGS | 2008年
关键词：
D O I：
10.1109/ICNC.2008.182
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper we introduce a class of vector-valued wavelet packets of space L-2 (R-d, R-u), 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, R-u) from these wavelet packets.
引用
收藏
页码：272 / +
页数：2
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