Properties of vector-valued multivariable wavelet packets with m-scale

Author

Chen, Qingjiang ; An, Zongling

Author_Institution

Sch. of Sci., Xi´´an Univ. of Archit.&Technol., Xi´´an, China

fYear

2009

fDate

17-19 June 2009

Firstpage

1826

Lastpage

1829

Abstract

In this paper, we introduce a sort of vector-valued wavelet packets for vector-valued multivariable function space, which are generalizations of univariate wavelet packets. A method for constructing a class of biorthogonal multivariable vector-valued wavelet packets is proposed and their nice properties are discussed by means of operator theory and time-frequency analysis method. The biorthogonality formulas concerning these wavelet packets are derived. Furthermore, it is shown how to draw new Riesz bases of space L²(Rⁿ, C^p) by constructing a series of subspaces of the vector-valued multivariable wavelet packets.

Keywords

time-frequency analysis; wavelet transforms; Riesz bases; biorthogonal multivariable vector-valued wavelet packets; biorthogonality formulas; m-scale; operator theory; time-frequency analysis; univariate wavelet packets; vector-valued multivariable wavelet packets; Discrete transforms; Educational technology; Electronic mail; Fractals; Image processing; Signal analysis; Space technology; Time frequency analysis; Wavelet analysis; Wavelet packets; Biorthogonal; Multivariable; Riesz bases; Vector-valued wavelet packets;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference, 2009. CCDC '09. Chinese

Conference_Location

Guilin

Print_ISBN

978-1-4244-2722-2

Electronic_ISBN

978-1-4244-2723-9

Type

conf

DOI

10.1109/CCDC.2009.5192381

Filename

5192381