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 7, Issue 7


Question: Normalisation of the sinc wavelet filter bank
 
images/spacer.gifimages/spacer.gif Reply into Digest
Previous :: Next  
Author Message
Gary Mc Darby (gmcdarby@ee.unsw.edu.au)
Guest





PostPosted: Fri Jul 17, 1998 12:51 am    
Subject: Question: Normalisation of the sinc wavelet filter bank
Reply with quote

#14 Question: Normalisation of the sinc wavelet filter bank

To the wavelet mathematicians,

I am presently trying to develop a theoretical backround on how
wavelets are designed. I am still in the early stages of this work and
am looking at how the Haar and sinc wavelets and their associated
filter banks are related.

Could somebody explain to me (or point me to some relevant literature)
the reason why, in the case of the sinc wavelet, one needs to
introduce a phase shift into the high pass filter in order for the
basis to be complete? Secondly, if the gain of the analysis filters =
sqrt(2), why is the gain of the synthesis filters not the inverse of
this in order for perfect reconstruction? It seems to me that if the
gains in both the analysis filters and synthesis filters are sqrt(2)
then the overall gain of the filter bank is 2. Is this correct?

Thanking you in advance

Best regards

Gary Mc Darby B.E. MEngSc CEng

Department of Electrical Engineering
University of New South Wales
Sydney 2052
Australia

Email: gmcdarby@ee.unsw.edu.au
Phone: 0061-2-93855315
All times are GMT + 1 Hour
Page 1 of 1

 
Jump to: 
 


disclaimer - webmaster@wavelet.org
Powered by phpBB

This page was created in 0.647193 seconds : 18 queries executed : GZIP compression disabled