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Backing Out Impulse Response From Signal

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Anthony LoCurto
Anthony LoCurto on 21 Aug 2019
Commented: Rajiv Singh on 26 Aug 2019
I am sure this has been answered somewhere, but I can't seem to locate an answer anywhere. I have a modeled signal and an experimentally obtained signal (taken with a 150 MHz photodiode). It is obvious that there is signal ringing associated with the impulse response. How could I (a) model the impulse response on the modeled signal, or (b) remove the impulse response from the experimentally obtained signal? With my current setup I can't measure the response of the photodiode with a Dirac-delta function input which is making this a little bit more difficult. I assume that I should be able to arrive at a transfer function for the photodiode. I tried convolving the model with a damped oscillator based on the photodiode specs, but that didn't give me the right solution.
Rajiv Singh
Rajiv Singh on 26 Aug 2019
No sure what you mean. But let us say you measured a certain signal "y" from a system. Pretend that the signal is in response to a impulsive impact applied to the system. Then your input can be u = [1; zeros(length(y)-1,1)]. Pack this data so:
z = iddata(y,u,Ts); % Ts is sampling interval of y.
model = ssest(z,2); % second order state-space
x = impulse(model); % x is the impulse response that you should compare to y
model can also be obtained using tfest, oe, impulseest etc.

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