A general construction of nonseparable multivariate orthonormal wavelet bases

• Autorzy: Abderrazek Karoui
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

multidimensional wavelets; non-separable orthogonal wavelet bases; stability; transition operator; multidimensional multiwavelet masks

Kategorie tematyczne

• 42C40: Wavelets and other special systems
• 42C15: General harmonic expansions, frames
• 42C05: Orthogonal functions and polynomials, general theory

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2008
• Tom: 6
• Numer: 4
• Strony: 504-525

Daty

wydano

2008-12-01

online

2008-10-08

Twórcy

autor

Abderrazek Karoui

• University November 7th at Carthage

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-008-0052-6