Year: 2015
Analysis in Theory and Applications, Vol. 31 (2015), Iss. 2 : pp. 109–122
Abstract
In this paper, we present a method for constructing multivariate tight framelet packets associated with an arbitrary dilation matrix using unitary extension principles. We also prove how to construct various tight frames for $L^2(\mathbb{R}^d)$ by replacing some mother framelets.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2015.v31.n2.2
Analysis in Theory and Applications, Vol. 31 (2015), Iss. 2 : pp. 109–122
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Wavelet tight frame framelet packet matrix dilation extension principle Fourier transform.