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   -> Volume 2, Issue 7


Preprint: Parameterizations for Daubechies wavelets
 
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Jean-Marc Lina, Atlantic Nuclear Services Ltd.
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PostPosted: Fri Nov 29, 2002 3:29 pm    
Subject: Preprint: Parameterizations for Daubechies wavelets
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Preprint: Parameterizations for Daubechies wavelets


PARAMETERIZATIONS FOR DAUBECHIES WAVELETS
Jean-Marc LINA and Michel MAYRAND
Atlantic Nuclear Services Ltd. and
Laboratoire de Physique Nucl'eaire, Universit'e de Montr'eal

(plain TeX, 10 pages, 3 figs)

Abstract

Two parameterizations are presented for the Daubechies wavelets.
The first one is based on the correspondence between the set of
multiresolution analysis with compact support orthonormal basis
and the group $SU_I(2,complexe [z,z^{-1}])$ developped by Pollen.
In the second parameterization, emphasis is put on the regularity
condition of the Daubechies wavelets and a solitonic cellular
automata algorithm is introduced to solve the orthonormality
conditions characterizing the Daubechies wavelets.

send your request to lina@lps.umontreal.ca
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