Construction of wavelet frames using lifting like schemes (Q2910456)
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scientific article; zbMATH DE number 6080748
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Construction of wavelet frames using lifting like schemes |
scientific article; zbMATH DE number 6080748 |
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11 September 2012
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wavelets
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frames
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polyphase components
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mixed extension principle
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Construction of wavelet frames using lifting like schemes (English)
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Recently, the unitary extension principle and mixed extension principles have been applied to construct compactly supported wavelet frames [\textit{M. Skopina}, Appl. Comput. Harmon. Anal. 27, No. 1, 55--72 (2009; Zbl 1171.42021)], where necessary and sufficient conditions under which a pair of refinable functions generates dual wavelet frames with a given number of vanishing moments have been found. The author shows how this approach can be combined with the lifting like scheme to improve the number of vanishing moments of a given MRA--based wavelet frame. A simple way of the construction of wavelet frames using the polyphase components of the filter is also presented. Examples are given.
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