| A Class of Compactly Supported Nonseparable Orthogonal Wavelets of $L^2(\mathbb{R}^n)$ |
| Received:November 10, 2011 Revised:February 20, 2012 |
| Key Words:
nonseparable multivariate orthogonal compactly supported stability.
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| Fund Project:Supported by the Guangdong Province Key Laboratory of Computational Science at the Sun Yat-sen University. |
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| Abstract: |
| In this paper, we present a concrete method for constructing a class of compactly supported nonseparable orthogonal wavelet bases of $L^{2}(\mathbb{R}^{n}),\ n \geq2$. The orthogonal wavelets are associated with dilation matrix $\alpha I_{n}\ (\alpha\geq2,\ \alpha \in \mathbb{Z})$, where $I_{n}$ is the identity matrix of order $n$. In the end, two examples are given to illustrate how to use our method to construct nonseparable orthogonal wavelet bases. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2013.02.008 |
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