DocumentCode :
1859395
Title :
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(Ru, Cv) 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
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=1859395
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