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   -> Volume 6, Issue 6

Question: Integral of wavelet functions.
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Author Message (Group Account for Goswammi)

PostPosted: Thu Jan 01, 1970 12:59 am    
Subject: Question: Integral of wavelet functions.
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#17 Question: Integral of wavelet functions.

Dear Colleagues, 28 May 1997

I have a question of rather general interest. While it is clearly
known that it is possible to determine the local contribution to
the energy from the wavelet transform coefficeints, I wish to
know if it is possible to determine the local contributions to
the mean using wavelet transforms.

My doubt is on account of the wavelet being a zero mean function.
So the question if rephrased would be: can one expand a signal
with a non-zero mean using wavelets of zero mean?

Or put in another way, from the usual expansion:

non zero mean signal =

sum of scalar product of (wavelets . their coefficients),

how does one determine how much the contribution to the mean is
from each wavelet transform coefficient? Or, does anyone know of
any expansion that provides for determining the contribution to
the mean?

Any clue would be highly appreciated and gratefully acknowledged.

Thanking you,

T. G. Prasad

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