DocumentCode
519441
Title
The Characteristics of a Type of Biorthogonal Wavelet Packets with Eight-scale Factor in Higher Dimensions
Author
Song, Shuyun ; Huo, Ailian
Author_Institution
Sch. of Educ., Nanyang Inst. of Technol., Nanyang, China
Volume
1
fYear
2010
fDate
6-7 March 2010
Firstpage
370
Lastpage
373
Abstract
In this paper, the notion of vector-valued wavelet packets for space L^2(R^n)^s is introduced, which are generalizations of univariate wavelet packets. A constructive method for a class of biorthogonal vector-valued multivariate wavelet packets is presented and their biorthogonality properties are characterized by virtue of matrix theory, and operator theory. Three biorthogonality formulas concerning these wavelet packets are provided. Furthermore, new Riesz bases of space L^2(R^n)^s from these wavelet packets are obtained.
Keywords
Aggregates; Computer science education; Educational technology; Filter bank; Hydrogen; Multiresolution analysis; Pixel; Space technology; Wavelet analysis; Wavelet packets; biorthogonality properties; multivariate; wavelet packets;
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.2010.228
Filename
5493152
Link To Document