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   -> Volume 2, Issue 12


Preprint available: An inverse DWT for nonorthogonal wavelets
 
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Mark Shensa, NCCOSC, San Diego.
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PostPosted: Fri Nov 29, 2002 3:34 pm    
Subject: Preprint available: An inverse DWT for nonorthogonal wavelets
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Preprint available: An inverse DWT for nonorthogonal wavelets

The following preprint is available:

AN INVERSE DWT FOR NONORTHOGONAL WAVELETS

M. J. Shensa

Abstract:
Discrete nonorthogonal wavelet transforms play an
important role in signal processing by offering finer
resolution in time and scale than their orthogonal
counterparts. The standard inversion procedure for such
transforms is a finite expansion in terms of the analyzing
wavelet. While this approximation works quite well for many
signals, it fails to achieve good accuracy or requires an
excessive number of scales for others. This paper proposes
several algorithms which provide more adequate inversion
and compares them in the case of Morlet wavelets. In the
process, both practical and theoretical issues for the
inversion of nonorthogonal wavelet transforms are discussed.

NCCOSC Technical Report 1621, July 1993.

A postscript copy of this report is available from
the ftp site gandalf.nosc.mil (128.49.4.118) in the
file /pub/Shensa/WTinverse-TR1621.ps.
(login: anonymous; password: your-name.)

Mark Shensa, NCCOSC, San Diego, CA 92152-6146
shensa@nosc.mil
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