\(l^\infty \)-stability for linear multiresolution algorithms: A new explicit approach. I: The basic rules and the Daubechies case (Q2379027)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(l^\infty \)-stability for linear multiresolution algorithms: A new explicit approach. I: The basic rules and the Daubechies case |
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\(l^\infty \)-stability for linear multiresolution algorithms: A new explicit approach. I: The basic rules and the Daubechies case (English)
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14 January 2009
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The stability of the fast orthogonal wavelet transform in one space dimension is investigated. Stability bounds with respect to the \(L^\infty\) norm are derived for the specific case of Daubechies wavelets, for both the wavelet decomposition and the reconstruction. Numerical examples illustrate the theoretical results.
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wavelets
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multiresolution
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stability
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infinity norm
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