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   -> Volume 2, Issue 7

Preprint: Parameterizations for Daubechies wavelets
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Jean-Marc Lina, Atlantic Nuclear Services Ltd.

PostPosted: Fri Nov 29, 2002 3:29 pm    
Subject: Preprint: Parameterizations for Daubechies wavelets
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Preprint: 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)


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.

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