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 0
-frequency.
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., 0.02m
?