DocumentCode
519446
Title
Discussion of Properties of a Class of Three-dimensional Wavelet Packets with Five-scale Dilation
Author
Li, Zhifei ; Li, Hua
Volume
1
fYear
2010
fDate
6-7 March 2010
Firstpage
394
Lastpage
397
Abstract
In this paper, we introduce a class of biorthogonal vector wavelet packets for vector-valued multivariate function space, which are generalizations of univariate wavelet packets. A procedure for constructing a class of biorthogonal vector wavelet packets in higher dimensions is presented and their biorthogonality property is characterized by virtue of matrix theory, time-frequency analysis method. Three biorthogonality formulas regarding these wavelet packets are derived. Moreover, it is shown how to gain new Riesz bases of space $L^2(R^3,C^{u})$ from these wavelet packets.
Keywords
Computer science; Discrete transforms; Educational institutions; Fractals; Image processing; Image reconstruction; Signal analysis; Time frequency analysis; Wavelet analysis; Wavelet packets; biorthogonality properties; time-frequency analysis method; trivariate; vector-valued wavelets;
fLanguage
English
Publisher
ieee
Conference_Titel
Challenges in Environmental Science and Computer Engineering (CESCE), 2010 International Conference on
Conference_Location
Wuhan, China
Print_ISBN
978-0-7695-3972-0
Electronic_ISBN
978-1-4244-5924-7
Type
conf
DOI
10.1109/CESCE.2010.240
Filename
5493158
Link To Document