The Biorthogonality Property of the Trivariate Multiwavelet Wraps and Applications in Education Technology and Materials Science

被引：0

作者：

Fang, Lanran ^{[1
]}

机构：

[1] Nanyang Inst Technol, Sch Sci, Nanyang 473000, Peoples R China

来源：

ADVANCES IN FUTURE COMPUTER AND CONTROL SYSTEMS, VOL 2 | 2012年 / 160卷

关键词：

Education management; education theory; biorthogonality property; trivariate multiwav elet wraps; Riesz bases; Fourier transfer; iteration method; WAVELET PACKETS;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The rise of wavelet analysis in applied mathematics is due to its applications and the flexibility. A sort of multiwavelet wraps with multi-scale dilation factor for space L-2 (R-3, C-1) is introduced, which is the generalization of multivariate wavelet wraps. An approach for designing a sort of biorthogonal rnultiwavelet wraps in three-dimensional space is presented and their biorthogonality property is characterized by virtue of iteration method and time-frequency analysis method. The biorthogonality formulas concerning these wavelet wraps are established. Moreover, it is shown how to obtain new Riesz bases of space L-2 (R-3, C-1) from these wavelet packets.

引用

页码：553 / 559

页数：7

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