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I have two sets of one second voltage data sampled with 4000Hz and I can plot all the voltage points vs time points in MATLAB. So it means I have a data matrix with with length of 4000 one column for the time in seconds the other for the voltage.

Now I have simultaneously sampled two data matrix in time domain with this way. One is input to a filter (Vin,t) the other is output (Vout,t). I want to find the transfer function both for amplitude and phase shift.

How can I take the Laplace transform of this data? Can I do it without converting it to a expressible function like poly-fit?

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Since you are sampling a real signal, you can just use the a Fourier transform, the fft function in MATLAB. You can divide the FFT of the output by the input, and then fit a curve to the result to approximate the transfer function

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  • $\begingroup$ How about phase shift data? $\endgroup$ – HelpMee Nov 20 '17 at 18:58
  • $\begingroup$ Do you mean semilogx(abs(fft(out))./abs(fft(in)))? $\endgroup$ – HelpMee Nov 20 '17 at 19:03
  • $\begingroup$ @user1234 You could interpolate real and imaginary parts separately $\endgroup$ – Robert L. May 20 '18 at 5:22

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