@Article{ATA-31-109, author = {}, 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} }