The Wavelet Digest Homepage
Return to the homepage
Search the complete Wavelet Digest database
Help about the Wavelet Digest mailing list
About the Wavelet Digest
The Digest The Community
 Latest Issue  Back Issues  Events  Gallery
The Wavelet Digest
   -> Volume 3, Issue 8


Answer: WD 3.7 #9
 
images/spacer.gifimages/spacer.gif Reply into Digest
Previous :: Next  
Author Message
victor@kirk.wustl.edu (Mladen Victor Wickerhauser)
Guest





PostPosted: Mon Dec 02, 2002 1:06 pm    
Subject: Answer: WD 3.7 #9
Reply with quote

Answer: WD 3.7 #9

In wavelet digest 3.7, you wrote:

In the document Ten Lectures on Wavelets by Ingrid Daubechies, 1992
Tables 8.2 (page 277) and 8.3 (page 279), the coefficients taken for
Synthesis (inverse) filter to be the m_0^tilde filter, seem NOT to
produce exact reconstruction? for DBS(3,7).

There is a transposition of two digits in one of the coefficients of the
(3,7) biorthogonal quadrature filter. Here are the correct coefficients:

[ SR2OVER2E14 is sqrt(2.0)/(1<<14); in Daubechies'
normalization, you don't need the sqrt(2.0) ]

Low-pass High-pass
-------- ---------
35.0*SR2OVER2E14 -35.0*SR2OVER2E14
-105.0*SR2OVER2E14 -105.0*SR2OVER2E14
-195.0*SR2OVER2E14 195.0*SR2OVER2E14
865.0*SR2OVER2E14 865.0*SR2OVER2E14
363.0*SR2OVER2E14 -363.0*SR2OVER2E14
-3489.0*SR2OVER2E14 -3489.0*SR2OVER2E14
-307.0*SR2OVER2E14 307.0*SR2OVER2E14
11025.0*SR2OVER2E14 11025.0*SR2OVER2E14
11025.0*SR2OVER2E14 -11025.0*SR2OVER2E14
-307.0*SR2OVER2E14 -307.0*SR2OVER2E14
-3489.0*SR2OVER2E14 3489.0*SR2OVER2E14
363.0*SR2OVER2E14 363.0*SR2OVER2E14
865.0*SR2OVER2E14 -865.0*SR2OVER2E14
-195.0*SR2OVER2E14 -195.0*SR2OVER2E14
-105.0*SR2OVER2E14 105.0*SR2OVER2E14
35.0*SR2OVER2E14 35.0*SR2OVER2E14

Professor Mladen Victor Wickerhauser <victor@math.wustl.edu>
Department of Mathematics, Campus Box 1146, One Brookings Drive
Washington University in Saint Louis, Missouri 63130 USA
Telephone: USA+(314)935-6771; Facsimile: USA+(314)935-5799
All times are GMT + 1 Hour
Page 1 of 1

 
Jump to: 
 


disclaimer - webmaster@wavelet.org
Powered by phpBB

This page was created in 0.025940 seconds : 18 queries executed : GZIP compression disabled