The construction of wavelets from generalized conjugate mirror filters in \(L^2(\mathbb R^n)\) (Q1867385)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The construction of wavelets from generalized conjugate mirror filters in \(L^2(\mathbb R^n)\) |
scientific article; zbMATH DE number 1891401
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The construction of wavelets from generalized conjugate mirror filters in \(L^2(\mathbb R^n)\) |
scientific article; zbMATH DE number 1891401 |
Statements
The construction of wavelets from generalized conjugate mirror filters in \(L^2(\mathbb R^n)\) (English)
0 references
2 April 2003
0 references
It is well known how to construct multiresolution analyses (MRA) and wavelets via quadrature mirror filters. In the present paper, this is extended to a construction of wavelets which are not associated with an MRA (they are associated to certain generalized MRA's). As an example it is proved how one, for an arbitrarily large interval \(I\), can construct a non-MRA wavelet whose Fourier transform is \(C^\infty\) on \(I\).
0 references
multiresolution analyses
0 references
wavelets
0 references
quadrature mirror filters
0 references
0 references
0 references
