One of the most powerful tools in engineering is the ability to take a complex signal (like sound or radio waves) and break it down into its individual frequencies. This is done using the Fourier Transform.

It converts a signal from the time domain into the frequency domain using this beautiful integral:
$$F(\omega) = \int_{-\infty}^{\infty} f(t) e^{-j\omega t} dt$$
Here is how you can use Python to find the frequencies inside a signal using the Fast Fourier Transform (FFT):

import nu