A general construction of nonseparable multivariate orthonormal wavelet bases |
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| Authors: | Abderrazek Karoui |
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| Institution: | (1) Department of Mathematics, Faculty of Sciences of Bizerte, University November 7th at Carthage, Carthage, Tunisia |
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| Abstract: | The construction of nonseparable and compactly supported orthonormal wavelet bases of L
2(R
n
); n ≥ 2, is still a challenging and an open research problem. In this paper, we provide a special method for the construction
of such wavelet bases. The wavelets constructed by this method are dyadic wavelets. Also, we show that our proposed method
can be adapted for an eventual construction of multidimensional orthogonal multiwavelet matrix masks, candidates for generating
multidimensional multiwavelet bases.
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| Keywords: | multidimensional wavelets non-separable orthogonal wavelet bases stability transition operator multidimensional multiwavelet masks |
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