Minimum-energy multiwavelet frame on the interval \([0,1]\) (Q1665126)
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scientific article; zbMATH DE number 6925888
| Language | Label | Description | Also known as |
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| English | Minimum-energy multiwavelet frame on the interval \([0,1]\) |
scientific article; zbMATH DE number 6925888 |
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Minimum-energy multiwavelet frame on the interval \([0,1]\) (English)
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27 August 2018
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Summary: Drawing inspiration from the idea of combining multiwavelets on the interval with frame theory organically, we study minimum-energy multiwavelet frame on the interval \([0,1]\) (MEMWFI). Firstly, left boundary multiscaling functions, right boundary multiscaling functions, and the definition of MEMWFI are put forward, and the equivalent characterizations of MEMWFI are given. Then, two algorithms of constructing MEMWFI are proposed. Finally, the decomposition formula, reconstruction formulas, and numerical examples are given.
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