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}]
![hAdjE Comparing ordinates between FourierTransform[] and Fourier[]](https://i.stack.imgur.com/hAdjE.png "Comparing ordinates between FourierTransform[] and Fourier[]")
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]]
![plWhe Comparing ordinates between FourierTransform[] and Fourier[]](https://i.stack.imgur.com/plWhe.png "Comparing ordinates between FourierTransform[] and Fourier[]")
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?