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   -> Volume 3, Issue 15


Question: Wavelet packets and reconstruction
 
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shen@enel.ucalgary.ca (Liang Shen)
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PostPosted: Mon Dec 02, 2002 1:23 pm    
Subject: Question: Wavelet packets and reconstruction
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Question: Wavelet packets and reconstruction

Hi, there,

I have two questions on wavelet transform. As we know, wavelet (packet)
transformation could be used to decompose a signal into different frequency
bands. The problem of this frequency localization is the lose of time
resolution. My questions are:

(1) How about using the part of decomposed signal to reconstruct the
original signal by the same wavelet? I know this could be regarded
as a kind of signal interpolation. However, is the problem of time
resolution overcomed by this method?

(2) By selecting different parts of decomposed signal for reconstruction,
the reconstructed signal will be a signal with a specific frequency
band of original signal. The question is what the differences between
this approach and direct low-/band-pass filtering method are?

Any inputs and/or pointers are greatly appreciated. I will provide a summary
if there is enough interest.

Thanks in advance.

Liang SHEN Voice : (403) 220-8797 (O)
Department of Electrical (403) 284-2179 (H)
and Computer Engineering Fax : (403) 282-6855
University of Calgary
Calgary, Alberta, Canada T2N 1N4 Internet : shen@enel.ucalgary.ca
All times are GMT + 1 Hour
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