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   -> Volume 6, Issue 10


Preprint: Balanced MultiWavelets - Theory and Design
 
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"J. Lebrun" (lebrun@de.epfl.ch)
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PostPosted: Thu Sep 25, 1997 12:34 pm    
Subject: Preprint: Balanced MultiWavelets - Theory and Design
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#8 Preprint: Balanced MultiWavelets - Theory and Design

The following preprint is available at the URL
http://lcavwww.epfl.ch/~lebrun/preprints/bmw_ieee98.ps.gz

Title: Balanced MultiWavelets - Theory and Design

Authors: Jerome Lebrun and Martin Vetterli
AudioVisual Communications Lab.
Communication Systems Division
Swiss Federal Institute of Technology
CH 1015 Lausanne, Switzerland
lebrun@de.epfl.ch or vetterli@de.epfl.ch

Abstract:
This paper deals with multiwavelets which are a recent
generalization of wavelets in the context of multirate filter banks
and with their applications to signal processing and especially
compression. By their inherent structure, multiwavelets are fit for
processing multi-channel signals. First, we will recall some general
results on multiwavelets and their implementations as multifilter
banks but also time-varying filter banks. Then, we will recall some
useful results on the convergence of the iterated matrix product
leading to them. Then, we will define under what conditions we can
apply systems based on multiwavelets to one-dimensional signals in a
simple way. That means we will give some natural and simple conditions
that should help in the design of new multiwavelets for signal
processing. Finally, we will provide some tools in order to construct
multiwavelets with the required properties, the so-called `balanced
multiwavelets'.

A longer version (technical report) is also available at
http://sscwww.epfl.ch/Pages/publications/ps_files/tr97_016.ps
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