Comparing ordinates between FourierTransform[] and Fourier[]
I have a test function ff[t_] := Exp[-t^2 - t]
. I have calculated the Fourier transform with FourierTransform[]
:
f[\[Omega]_] = FourierTransform[Exp[-t^2 - t], t, \[Omega], FourierParameters -> {1, 1}]
Then, I have calculated the Fourier transform with Fourier[]
:
time = Range[1, 1000, 0.1];
Fa = Table[ff[time[[i]]], {i, 1, 1000}];
dF = Fourier[Fa, FourierParameters -> {1, 1}];
ListLinePlot[Abs[dF]]
I know how to get the DFT with the x-axis represented by the frequency.
(I’d need some examples representing the relationship between FT continues and DFT.) Why do not coincide me the values on the ordinate between Fourier[]
and FourierTransform[]
? is a problem of the directive FourierParameters
?