The Research of orthogonal vector-valued wavelet packets

被引：0
|
作者：
Wang, Hui [1 ]
Song, Suluo [2 ]
机构：
[1] Nanyang Inst Technol, Sch Educ, Nanyang 473000, Peoples R China
[2] Nanyang Inst Technol, Dept Math Appl, Nanyang 473000, Peoples R China
来源：
CCDC 2009: 21ST CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, PROCEEDINGS | 2009年
关键词：
Univariate; Orthogonal; Vector-valued multiresolution analysis; Vector-valued wavelets; Vector-valued wavelet packets;
D O I：
10.1109/CCDC.2009.5192624
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Wavelet analysis has been developing a branch of mathematics. In this paper, the notion of vector-valued univariate wavelet packets is introduced. A new procedure for constructing the vector-valued wavelet packets is presented. Their properties are discussed by virtue of time-frequency analysis method and operator theory. Orthogonality formulas, are established. Finally, two new orthogonal bases of L-2(R, C-n) are constructed from these orthogonal multiple vector-valued wavelet packets.
引用
收藏
页码：1258 / +
页数：2
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