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JOURNALS // Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya // Archive

Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2010 Issue 2(76), Pages 57–71 (Mi vsgu148)

Mathematics

On dyadic multiwavelet transform

P. G. Severov

Department of Functional Analysis and Operation Equations, Voronezh State University, Voronezh, 394006, Russia

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.

UDC: 517.5

Received: 16.11.2009
Revised: 16.11.2009



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