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 - <p style="text-align: justify;">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.</p>