When making frequency domain to time domain signal what is the best procedure to get the sampling time from the frequency range?
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I have a 16*16*751 matrix signal and the frequency range is from .5GHz to 2 GHz. I convert the signal from freqency domain to time domain using IFFTSHIFT(IFFT(x(f))). Now, I need the time samples for this converted signals.
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Star Strider
2021-7-14
Getting the sampling time from the Fourier transform is only possible if you know that the maximum frequency is the Nyquist frequency. The sampling frequency is two times that, and the sampling time is the inverse of the sampling frequency.
If you do not know with absolute certainty that the highest frequency of the Fourier traqnsform is the Nyquist frequency, the sampling interval will forever remain a mystery.
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Walter Roberson
2021-7-14
The frequency domain signal has 751 entries. Assuming the first entry is the DC component, then that leaves 750 entries for frequencies, half positive frequencies and half negative. So 750/2 = 375 frequency bins, covering 2 GHz, gives
format long g
2e9/375
hertz per bin, or
375 / 2e9
seconds per sample.
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