ARMA is very much based on stochastics. I don't see this relevant here.
Regards
Jens
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Am 07.09.2015 16:18, schrieb roger.corm...@ncf.ca:
Would you consider an ARMA model of the signal? You need to chose the order of 
the system so a bit of experimenting is needed. Just an idea.

Regards,

Roger.


___________________________
Dr. Roger Cormier, P.Eng.
Home Tel. & Fax: 613-823-7299


Le lun. 7 sept. 2015 à 08:26, Jens Simon Strom a écrit :

Hi Scilab users,

I want to analyse a microphone recording of the sound of a bell or gong. Given 
ia the equidistantly sampled sound pressure y(t) after a stroke for 10 s
.


The ansatz

y=sum(  A_i*exp(-d_i*t))*cos(2*%pi*f_i+alpha_i)  )
   for i=1,2,...5 or more


is assumed to approximate the signal where A_i, d_i, f_i, and alpha_i are the 
unknown amplitudes, danping factors, frequencies, and phase angles of y. The 
analysis may be restricted to the lowest 5 frequencies fi.
Does Scilab offer a method for this? FFT seems not to be adequate because the 
signal is aperiodic (silence after 10 s).
Is nonlinear regression (with which I'm fmiliar) a promising way. The lowest 
frequencies can probably be concluded from a short time DFT where damping is
negligible.
Kind regards
Jens

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