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
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;
Conference_Titel :
Information Science and Engineering (ICISE), 2009 1st International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-4909-5
DOI :
10.1109/ICISE.2009.388
