The Characters of Semiorthogonal Vector-valued Multivariant Wavelet Packets

被引：0
|
作者：
Han Ke-zhong [1 ]
机构：
[1] Zhengzhou Inst Aeronaut Ind Management, Informat & Stat Vocat Coll, Zhengzhou 450011, Peoples R China
来源：
2011 INTERNATIONAL CONFERENCE ON FUTURE INFORMATION ENGINEERING (ICFIE 2011) | 2011年 / 8卷
关键词：
Biorthogonality Traits; wavelet Transfer; multivariant; Riesz bases;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A sort of vector-valued multivariate wavelet packets of space of multi-dimensional vector valued functions, which are generalizations of multivariate wavelet packets, are introduced. Sampling theorems play a basic role in digital signal processing. They ensure that continuous signals can be represented and processed by their discrete samples. The classical Shannon Sampling Theorem asserts that bandlimited signals can beexactly represented by their uniform samples as long as the sampling rate is not less than the Nyquist rate.A procedure for constructing a class of biorthogonal vector-valued multivariate wavelet packets is presented and their biorthogonality trait are characterized by means of time-frequency analysis method, harmonic analysis method, and frame theory. Three biorthogonality formulas concerning these wavelet packets are established.
引用
收藏
页码：294 / 299
页数：6
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