DocumentCode
2212437
Title
Characteristics of Vector-Valued Three-Dimensional Wavelet Packets with Arbitrary Integer-Valued Matrix Dilation
Author
Zhang, Tongqi ; Liu, Longfei
Author_Institution
Dept. of Math, & Inf. Sci., Weinan Teachers Univ., Weinan, China
fYear
2009
fDate
26-28 Dec. 2009
Firstpage
4792
Lastpage
4795
Abstract
In this work the notion of orthogonal vector-valued trivariate wavelet packets, which is a generalization of uni-wavelet packets, is introduced. A new method for constructing them is developed, and their characteristics is discussed by using time-frequency analysis method, matrix theory and finite group theory. Orthogonality formulas are established.
Keywords
group theory; matrix algebra; time-frequency analysis; vectors; wavelet transforms; finite group theory; integer-valued matrix dilation; matrix theory; orthogonal vector; orthogonality formula; time-frequency analysis; trivariate wavelet packet; uniwavelet packet; vector-valued three-dimensional wavelet packet; Aggregates; Fourier transforms; Information science; Mathematics; Multidimensional signal processing; Power system analysis computing; Power system harmonics; Time frequency analysis; Wavelet analysis; Wavelet packets;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Science and Engineering (ICISE), 2009 1st International Conference on
Conference_Location
Nanjing
Print_ISBN
978-1-4244-4909-5
Type
conf
DOI
10.1109/ICISE.2009.388
Filename
5454715
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