Asymptotics of Daubechies filters, scaling functions, and wavelets (Q1271626)
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scientific article; zbMATH DE number 1221111
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotics of Daubechies filters, scaling functions, and wavelets |
scientific article; zbMATH DE number 1221111 |
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Asymptotics of Daubechies filters, scaling functions, and wavelets (English)
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3 May 1999
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Daubechies wavelets are known for each \(p=1,2,3,\ldots\) and are orthogonal on \([0,2p-1]\) with \(p\) vanishing moments. The paper studies the asymptotic behavior of the corresponding filter coefficients, the scaling function and the wavelets as \(p\to\infty\). Stationary phase methods for integrals are used, and the asymptotic expressions are in terms of oscillatory, exponential and Airy functions.
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Daubechies wavelets
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asymptotic expansion
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scaling functions
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