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the analysis, interpretation and manipulation of signals
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Accepted
Gaussian function power spectrum (Matlab)
The problem is your calculation of the theoretical Fourier values.
When you do a DFT with N points, the interval between points on the frequency axis is \$ \Delta f = 1/(N t_s) \$ where \$ t_s\$ den …
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Gaussian Function Fourier Transform (Matlab)
The FFT looks flat, because the value of your a is too high.
Secondly, you should use a different x-axis for the FFT plot. With N+1 time values, you get FFT points for nu values from -N/2 to +N/2.
Y …