The Biorthogonality Property of the Multidimensional Wavelet Packets with Multi-Scale Factor


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In this article, we introduce a sort of vector-valued wavelet packets with multi-scale dilation of space , which are generalizations of multivariaale wavelet packets. A method for designing a sort of biorthogonal vector-valued wavelet packets in higher dimensions is presented and their biorthogonality property is characterized by virtue of time-frequency analysis method, matrix theory, and operator theory. Three biorthogonality formulas regarding these wavelet packets are established. Furtherore, it is shown how to obtain new Riesz bases of space from these wavelet packets.



Key Engineering Materials (Volumes 439-440)

Edited by:

Yanwen Wu






J. F. Zhou and P. A. Wang, "The Biorthogonality Property of the Multidimensional Wavelet Packets with Multi-Scale Factor", Key Engineering Materials, Vols. 439-440, pp. 1093-1098, 2010

Online since:

June 2010




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