Fourier

FFT of a gaussian signal in Python

FFT of a gaussian signal in Python
  1. What is the Fourier transform of a Gaussian signal?
  2. How do you calculate FFT frequency in Python?

What is the Fourier transform of a Gaussian signal?

The Fourier transform of a Gaussian function of x is a Gaussian function of k. The standard deviation of is inversely proportional to the standard deviation of . If the function is an even function, its Fourier transform can be a Fourier cosine transform: (11.39)

How do you calculate FFT frequency in Python?

We can obtain the magnitude of frequency from a set of complex numbers obtained after performing FFT i.e Fast Fourier Transform in Python. The frequency can be obtained by calculating the magnitude of the complex number. So simple ab(x) on each of those complex numbers should return the frequency.

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