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I am using FFT (
Fourier) on a dataset that contains the temperature along a rod
1m long. The data is sampled with a spacing of
0.01m, so I have 100 measurements in total.
This gives me a sampling rate of
100 1/m. Now, when I call
Fourier I get out a list with
100 numbers in frequency-space, where the first corresponds to
Say I shift the data so the
0-frequency will be in the center. I am unsure of what the largest and smallest wavevector is.
Is it simply
-50 (smallest) and
+49 (largest)? Thereby implying that the smallest perturbation my FFT can resolve is
1/0.02 = 50, i.e.,