DocumentCode :
2096218
Title :
The Properties of a Class of Higher-dimensional Wavelet Packets According to an Integer-valued Dilation Matrix
Author :
Wang, Xiaofeng ; Lv, Baoxian
Author_Institution :
Dept. of Math. & Phys., Henan Univ. of Urban Constr., Pingdingshan, China
fYear :
2010
fDate :
28-31 March 2010
Firstpage :
1
Lastpage :
4
Abstract :
The notion of the higher-dimensional matrix-valued wavelet packets is proposed. A method for designing biorthogonal matrix-valued multivariate wavelet packets is developed and their properties are discussed by means of time-frequency analysis method and matrix theory. Three orthogonality formulas concerning these wavelet packets are obtained. One new Riesz basis of L2 (Rd, Cr × r) are constructed from these wavelet packets.
Keywords :
matrix algebra; time-frequency analysis; wavelet transforms; biorthogonal matrix-valued multivariate wavelet packets; higher-dimensional wavelet packets; integer-valued dilation matrix; time-frequency analysis; Design methodology; Discrete transforms; Eigenvalues and eigenfunctions; Image coding; Mathematics; Multiresolution analysis; Physics; Time frequency analysis; Wavelet analysis; Wavelet packets;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Power and Energy Engineering Conference (APPEEC), 2010 Asia-Pacific
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-4812-8
Electronic_ISBN :
978-1-4244-4813-5
Type :
conf
DOI :
10.1109/APPEEC.2010.5448537
Filename :
5448537
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=2096218
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