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   -> Volume 7, Issue 7

Question: Normalisation of the sinc wavelet filter bank
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Gary Mc Darby (

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

Phone: 0061-2-93855315
All times are GMT + 1 Hour
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