Fourier transform of Gaussian noise

Question

So I was doing a Fourier transform on a Gaussian distribution, the histogram of which is as follows. And by the way I sampled a million data, as shown in the image. What is such distribution? I find Weibull Distribution and Beta Distribution similar to the histogram, but I'm not sure.

Answer 1

The magnitude of the signal follows a Rice distribution: https://en.wikipedia.org/wiki/Rice_distribution