I need to learn more about the FFT. from what ive learned so far, when FFTing a signal, the higher the sample rate, the better the resolution in frequency (makes sense, given the shanon/nyquist theorem) and the greater the number of periods the more accurate is the result.
The system I am trying to identify, supposably, has two complex poles at 0.25 +/- 0.9 so I need good frequency resolution between 10^(-1) and 1 rad/s
I used a 1kHz sample rate and this is the result I get:

When I change the sample rate to 10kHz this is what I get: