Researches into orthogonal multivariate wavelet packets with finite support

Authors:
Jinshun Feng;Xuejun Qiao
Affiliations:
School of Education, Nanyang Institute of Technology, Nanyang, China;School of Science, Xi'an University of Arch. and Tech., Xi'an, China
Venue:
IITA'09 Proceedings of the 3rd international conference on Intelligent information technology application
Year:
2009

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Abstract

Wavelet theory has been the focus of active research for twenty years, both in theory and applications. In this paper, the notion of orthogonal vector-valued multivariate wavelet packets with five-scale is proposed. A novel procedure for constructing them is developed. Their orthogonal properties are characterized by virtue finite group theory, time-frequency analysis method and matrix theory. Orthogonality formulas are established. New orthonormal bases of L2(Rs,Cr) are obtained drawn from these vector-valued wavelet packets.