Construction of Multivariate Tight Framelet Packets Associated with Dilation Matrix
Anal. Theory Appl., 31 (2015), pp. 109-122.
Published online: 2017-04
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@Article{ATA-31-109,
author = {F. A. Shah and Abdullah},
title = {Construction of Multivariate Tight Framelet Packets Associated with Dilation Matrix},
journal = {Analysis in Theory and Applications},
year = {2017},
volume = {31},
number = {2},
pages = {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.
}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2015.v31.n2.2}, url = {http://global-sci.org/intro/article_detail/ata/4627.html} }
TY - JOUR
T1 - Construction of Multivariate Tight Framelet Packets Associated with Dilation Matrix
AU - F. A. Shah & Abdullah
JO - Analysis in Theory and Applications
VL - 2
SP - 109
EP - 122
PY - 2017
DA - 2017/04
SN - 31
DO - http://doi.org/10.4208/ata.2015.v31.n2.2
UR - https://global-sci.org/intro/article_detail/ata/4627.html
KW - Wavelet, tight frame, framelet packet, matrix dilation, extension principle, Fourier transform.
AB -
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.
F. A. Shah and Abdullah. (2017). Construction of Multivariate Tight Framelet Packets Associated with Dilation Matrix.
Analysis in Theory and Applications. 31 (2).
109-122.
doi:10.4208/ata.2015.v31.n2.2
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