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   -> Volume 6, Issue 9

Preprint: Multiwavelet Orthogonal Prefilters.
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David W Roach (

PostPosted: Fri Aug 29, 1997 5:49 pm    
Subject: Preprint: Multiwavelet Orthogonal Prefilters.
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#6 Preprint: Multiwavelet Orthogonal Prefilters.

Title: Multiwavelet Prefilters I:
Orthogonal prefilers preserving
approximation order p<=2

Authors: Douglas P. Hardin
Mathematics Department
Vanderbilt University
Nashville, TN 37240
David W. Roach
Applied and Numerical Mathematics 9222
Sandia National Laboratory
Albuquerque, NM 87185-1110


In applications using multiwavelets, there is a necessary step of
associating a given discrete signal with a function in the scaling
function space $V_0$. This association is equivalent to including a
prefilter and a postfilter for the filterbank determined by the
underlying multiwavelets. We give a construction for orthogonal
(paraunitary) FIR prefilters that preserve the approximation order of
a given arbitrary scaling vector $Phi$ with approximation order p<=2.
We give several such prefilters for the DGHM multiwavelet.

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