How to obtain damping ratio with Curve Fitting Toolbox

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Sim
Sim 2016-1-13
编辑： Sim 2016-1-14
Hi everybody,
I have some experimental data from an oscillating system (time domaine) and I would like to get an approximation of the damping ratio (zeta). I have already try to use the half-power band width method with the vibrationdata Matlab package designed by Tom Irvine. But I would like to double-check the result with another method.
I found several methods in this paper : www.vce.at/sites/default/files/uploads/downloads/2007_damping_estimation.pdf and I would like to try to do the curve fitting method with the Curve Fitting Toolbox of Matlab (R2014b) (2.2.2 Curve fitting in the paper).
It's the first I use this Toolbox with a custom equation, so, I do not really know how to do it with my sample data.
Can anybody help me with this ? I have attached the .txt file sample data to this post.
Cheers

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