Minimum-energy multiwavelet frames with arbitrary integer dilation factor (Q1955032)
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scientific article; zbMATH DE number 6173453
| Language | Label | Description | Also known as |
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| English | Minimum-energy multiwavelet frames with arbitrary integer dilation factor |
scientific article; zbMATH DE number 6173453 |
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Minimum-energy multiwavelet frames with arbitrary integer dilation factor (English)
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11 June 2013
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Summary: In order to organically combine the minimum-energy frame with the significant properties of multiwavelets, minimum-energy multiwavelet frames with arbitrary integer dilation factor are studied. Firstly, we define the concept of minimum-energy multiwavelet frame with arbitrary dilation factor and present its equivalent characterizations. Secondly, some necessary conditions and sufficient conditions for minimum-energy multiwavelet frame are given. Thirdly, the decomposition and reconstruction formulas of minimum-energy multiwavelet frame with arbitrary integer dilation factor are deduced. Finally, we give several numerical examples based on B-spline functions.
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