Construction and Properties of Vector Bivariate Wavelet Packets with Respect to a Quantity Dilation Matrix

被引：0
作者：
Wang, Huailing [1 ]
Ma, Ge [2 ]
机构：
[1] Pingdingshan Coll Educ, Dept Math, Pingdingshan, Peoples R China
[2] Nanyang Inst Technol, Dept Appl Math, Nanyang 473004, Peoples R China
来源：
2010 2ND INTERNATIONAL CONFERENCE ON COMPUTER AND AUTOMATION ENGINEERING (ICCAE 2010), VOL 2 | 2010年
关键词：
biorthogonal; scaling function; bivariate; wavelet packets; Riesz basis;
D O I：
10.1109/ICCAE.2010.5451737
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this work, the notion of vector-valued multiresolution analysis of space L-2(R-2,R- C-r) is introduced. An approach for constructing biorthogonal vector-valued bivariate wavelet packets is presented and their properties are investigated by means of time-frequency analysis method, matrix theory and operator theory. Three biorthogonality formulas regarding the wavelet packets are obtained. Finally, new Riesz bases of space L-2(R-2, C-r) are constructed by designing a series of subspaces composed of these wavelet packets.
引用
收藏
页码：701 / 705
页数：5
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