Reference : A note about non stationary multiresolution analysis
Scientific congresses and symposiums : Unpublished conference
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/2268/113469
A note about non stationary multiresolution analysis
English
Simons, Laurent mailto [Université de Liège - ULg > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes >]
28-Jul-2011
No
No
International
International Conference on Applied Harmonic Analysis and Multiscale Computing
du 25 juillet 2011 au 31 juillet 2011
Elena Braverman, Bin Han, Rong-Qing Jia, Yau Shu Wong, Ozgur Yilmaz
Edmonton
Canada
[en] Wavelets ; Multiresolution Analysis ; Orthonormal Basis
[en] An orthonormal basis of wavelets of $L^2(\mathbb{R})$ is an orthonormal basis of $L^2(\mathbb{R})$ of type
\[
\psi_{j,k}=2^{j/2}\psi(2^j\cdot-k),\quad j,k\in\mathbb{Z}.
\]
A classical method to obtain such bases consists in constructing a multiresolution analysis. When the mother wavelet $\psi$ depends on the scale (i.e. the index $j$), a non stationary version of multiresolution analysis is then used. We generalize different characterizations of orthonormal bases of wavelets to the non stationary case (as main reference for the stationary case, we used results presented in "A First Course of Wavelets" of E. Hernandez and G. Weiss).
Researchers ; Professionals
http://hdl.handle.net/2268/113469

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Restricted access
AHAMC_Pres_SIMONS.pdfPublisher postprint382.5 kBRequest copy

Bookmark and Share SFX Query

All documents in ORBi are protected by a user license.