DocumentCode :
3545423
Title :
The Orthogonality Properties of Vector-Valued Two-dimensional Wavelet Packets with an Integer Dilation Factor
Author :
Liang, Ying ; Yu, Yumin
Author_Institution :
Dept. of Appl. Math., Nanyang Inst. of Technol., Nanyang, China
fYear :
2009
fDate :
21-22 Nov. 2009
Firstpage :
153
Lastpage :
156
Abstract :
Wavelet analysis has been developing a popular mathematical branch for twenty years. In this paper the notion of orthogonal vector-valued two-dimensional wavelet packets, which is a generalization of uni-wavelet packets, is introduced. Their orthogonality properties are discussed by virtue of time-frequency analysis method, operator theory and matrix theory. Orthogonality formulas are established. Three orthonormal basis of L2(R2,Cu) is established from these orthogonal vector-valued wavelet packets.
Keywords :
integral equations; time-frequency analysis; wavelet transforms; integer dilation factor; matrix theory; operator theory; orthogonal vector-valued 2D wavelet packet; orthogonality formula; orthogonality property; orthonormal basis; time-frequency analysis; uni-wavelet packet; wavelet analysis; Aggregates; Control system analysis; Fourier transforms; Information analysis; Information technology; Integral equations; Mathematics; Optimal control; Wavelet analysis; Wavelet packets; orthogonality formulas; orthonormal basis; two-dimensional; vector-valued; wavelet packets;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Intelligent Information Technology Application Workshops, 2009. IITAW '09. Third International Symposium on
Conference_Location :
Nanchang
Print_ISBN :
978-1-4244-6420-3
Electronic_ISBN :
978-1-4244-6421-0
Type :
conf
DOI :
10.1109/IITAW.2009.33
Filename :
5419473
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=3545423
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