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   -> Volume 1, Issue 8


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Author Message
John Sasso.
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PostPosted: Fri Oct 23, 1992 11:56 pm    
Subject: question
Reply with quote

question

We have been studying wavelets for some time now and have managed
to get through some of the math that is involved, successfully proving
some of the orthonormality conditions and such for the discrete wavelet
transform. However, I am having trouble with one proof of an
equation which is very important.

Given a set of Daubechies scaling function coefficioents, {h[k]},
k = 0,...,2N-1, the wavelet function psi(t) can be defined in terms of
the scaling function as

psi(t) = ok SUM( (-1)^k h[k+1] phi(2t+k) )

I have had the hardest time trying to derive this equation. I have looked
at Daubechies' proof and others, but I get lost due to the
vagueness of the proof steps. If anyone can send me e-mail on how
to do the proof, I would greatly appreciate it.

Thank you for your help.

John (sassoj@rpi.edu)
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