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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2010, Issue 2(76), Pages 57–71
(Mi vsgu148)
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Mathematics
On dyadic multiwavelet transform
P. G. Severov
Department of Functional Analysis and Operation Equations, Voronezh State University, Voronezh, 394006, Russia
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
In the paper continuous and dyadic multiwavelet transforms and dyadic multiwavelets are defined. The author considers admissibility condition. The theorem about signal reconstruction from its multiwavelet decomposition and analogs of other theorems from the theory of wavelets are proved.
Keywords:
multiwavelet, multiscaling function, multiresolution analysis of multiplicity $r$, continuous multiwavelet transformation, dyadic multiwavelet transformation.
Received: 16.11.2009
Revised: 16.11.2009
Citation:
P. G. Severov, “On dyadic multiwavelet transform”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2010, no. 2(76), 57–71
Linking options:
https://www.mathnet.ru/eng/vsgu148 https://www.mathnet.ru/eng/vsgu/y2010/i2/p57
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| Statistics & downloads: |
| Abstract page: | 135 | | Full-text PDF : | 61 | | References: | 41 | | First page: | 1 |
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