I have frequency response data of an analog system that I would like to turn into a digital filter in Matlab. Is it kosher to think of my frequency samples as constituting a DFT of the system impulse response, even though there was never a time-domain signal in the first place? If I do an ifft on the frequency response data, can this be treated as the impulse response of the system? If so, what is the sample rate? Do I assume it is twice the highest measured frequency?
Is there a way to build a digital filter from impulse response data without knowing the sample rate?