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   -> Volume 7, Issue 3


Preprint: Unsubsampled Wavelet Transform and the Lifting Scheme
 
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"Alexander Stoffel" (stoffel@nebsy.nt.fh-koeln.de)
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PostPosted: Fri Feb 20, 1998 11:12 am    
Subject: Preprint: Unsubsampled Wavelet Transform and the Lifting Scheme
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#2 Preprint: Unsubsampled Wavelet Transform and the Lifting Scheme

Title: Remarks on the Unsubsampled Wavelet Transform and the Lifting Scheme

Author: Alexander Stoffel, Fachhochschule Koeln,
Fachbereich Nachrichtentechnik, Betzdorfer Strasse 2,
D-50679 Koeln, Germany,
e-mail:
stoffel@nebsy.nt.fh-koeln.de

Abstract:

The lifting scheme, which is known as a very useful tool for the
wavelet transform, is adapted to the calculation of the unsubsampled
wavelet coefficients. It is shown that - as in the subsampled case -
the two-band transform for each FIR filter pair without common zeros
can be performed by a finite number of lifting steps. Inverting each
step, one gets a perfect reconstruction equivalent to the arithmetic
mean of the result of two different reconstruction filters. Because of
this easy inversion, the lifting scheme offers a great flexibility
treating boundary conditions in the case of finitely many data.

Keywords: Wavelet, filter bank, lifting scheme, finite length signals

Status: Submitted to Signal Processing

The preprint is available as compressed PostScript or PDF file at

http://www.fh-koeln.de/fb/fb-nt-inf/stoffel/lifting.html

A previous (longer) version is also available from this web site.

Alexander Stoffel
Fachhochschule Koeln
Fachbereich Nachrichtentechnik
e-Mail: stoffel@nebsy.nt.fh-koeln.de
http://www.fh-koeln.de/fb/fb-nt-inf/stoffel/stoffel.html
Tel.:(49) 221 830 15 83
Fax :(49) 221 82 75 24 45
All times are GMT + 1 Hour
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