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Biorthogonal Wavelet Packets Associated with Nonuniform Multiresolution

Year:    2014

Journal of Information and Computing Science, Vol. 9 (2014), Iss. 1 : pp. 11–21

Abstract

In this paper, we introduce the notion of biorthogonal wavelet packets associated with nonuniform multiresoltion analysis and study their characteristics by means of Fourier transform. Three biorthogonal formulas regarding these wavelet packets are established. Moreover, it is shown how to obtain several new Riesz bases of the space (cid:1838)(cid:2870)(ℝ) by constructing a series of subspaces of these nonuniform wavelet packets.

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2024-JICS-22592

Journal of Information and Computing Science, Vol. 9 (2014), Iss. 1 : pp. 11–21

Published online:    2014-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

Keywords: