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   -> Volume 7, Issue 4


Question: Morlet wavelet
 
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"Nubia S.D. Brito" (nubia@shannon.dee.ufpb.br)
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PostPosted: Tue Apr 07, 1998 7:07 pm    
Subject: Question: Morlet wavelet
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#24 Question: Morlet wavelet

Dear Wavelet Digest Team,

I am a PhD student at the Federal University of Paraiba, Brazil
and I am working on the application of wavelets for power system transients.
I would like to use the Morlet wavelet for this application.
The Morlet wavelet is:
g(t)=exp(j*w*t)exp(-t**2/2).

According to the wavelet literature, this function is a wavelet if
w=5.336. In this case the condition required for wavelets:
integral(g(t)dt)=0.0
is satisfied because the value obtained was 0.0000093.
Recently, a research proposed the following function for power
system transients:
h(t)=exp(-2.7*t**2)cos(1.47*t).
In this case:
integral(h(t)dt)=0.88.
I conclude that the function h(t) is not a wavelet. Am I right?
Can I change the parameters of the Morlet wavelet?
I would like to receive some informations about admissibility
condition for wavelets.
I would appreciate any information about these questions.
Thank you.

Nubia S.D.Brito.
e-mail: nubia@dee.ufpb.br
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