Use of System Idenitification Method and Hilbert Transform

[nkayfive]

Suppose you model a damped free vibration of a beam in Matlab and then use a Hilbert Transform to fit its "envelope" that shows the decay...how can you get the information about the decay constant and frequency in Matlab?

 

[SomptingGuy]

You can get the decay constant from the slope of the abs() of the hilbert transform. And you can get the frequency by differentiating its unwrapped angle().