The Description for Properties of Biorthogonal Vector-Valued Wavelet Packets with Six-Scale Factor

Author

Zhai Meijuan ; Wu Hong-e

Author_Institution

Sch. of Sci., Xi´an Univ. of Arch. & Tech., Xi´an, China

fYear

2010

fDate

22-24 Jan. 2010

Firstpage

325

Lastpage

328

Abstract

In this work, we introduce a class of vector-valued wavelet packets with six-scale dilation factor for vector-valued higher dimensional function space. The definition of biorthogonal vector-valued mul dimensional wavelet packets is proposed and their biorthogonality properties are investigated by virtue of matrix theory, time-frequency analysis method, and operator theory. Three biorthogonality formulas regarding these wavelet packets are established. Moreover, it is shown how to gain new Riesz bases of space L²(R^u, C^v) from these wavelet packets.

Keywords

matrix algebra; time-frequency analysis; wavelet transforms; Riesz bases; biorthogonal vector-valued multidimensional wavelet packets; biorthogonal vector-valued wavelet packets; biorthogonality formulas; biorthogonality properties; matrix theory; operator theory; six-scale dilation factor; six-scale factor; time-frequency analysis; vector-valued higher dimensional function space; Electronic learning; Fourier transforms; Image coding; Mathematics; Multiresolution analysis; Signal processing; Space technology; Time frequency analysis; Wavelet analysis; Wavelet packets; Fourier transform; multiresolution analysis; wavelet packets;

fLanguage

English

Publisher

ieee

Conference_Titel

e-Education, e-Business, e-Management, and e-Learning, 2010. IC4E '10. International Conference on

Conference_Location

Sanya

Print_ISBN

978-1-4244-5680-2

Electronic_ISBN

978-1-4244-5681-9

Type

conf

DOI

10.1109/IC4E.2010.142

Filename

5432451