CHARACTERIZATIONS OF A CLASS OF ORTHOGONAL MULTIPLE VECTOR-VALUED WAVELET PACKETS-Reference-Cited by-同舟云学术

CHARACTERIZATIONS OF A CLASS OF ORTHOGONAL MULTIPLE VECTOR-VALUED WAVELET PACKETS

Published:2008-07 Issue:04 Volume:06 Page:631-641
ISSN:0219-6913
Container-title:International Journal of Wavelets, Multiresolution and Information Processing
language:en
Short-container-title:Int. J. Wavelets Multiresolut Inf. Process.

Author:

HAN JIN-CANG¹,CHEN QING-JIANG²

Affiliation:

1. School of Information Engineering, Lanzhou Commercial College, Lanzhou 730020, P. R. China

2. School of Science, Xi'an University of Architecture and Technology, Xi'an 710055, P. R. China

Abstract

The notion of multiple vector-valued wavelet packets is introduced. A procedure for constructing the multiple vector-valued wavelet packets is presented. Their characteristics are investigated by means of integral transformation and operator theory, and three orthogonality formulas concerning the multiple vector-valued wavelet packets. Finally, new orthogonal bases of L2(R, Cs × s) are constructed from these multiple vector-valued wavelet packets.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Information Systems,Signal Processing

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219691308002549

Reference12 articles.

1. R. Coifman, Y. Meyer and M. V. Wickerhauser, Wavelets and Their Applications, eds. M. B. Ruskai (Jones and Bartlett, 1992) pp. 153–178.

2. New image compression techniques using multiwavelets and multiwavelet packets

3. Fast solution of electromagnetic integral equations using adaptive wavelet packet transform

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