What is the Fourier transform? At a high level the Fourier transform is a mathematical function which transforms a signal from the time domain to the frequency domain. This is a very powerful transformation which gives us the ability to understand the frequencies inside a signal.

What is the use of Fourier transform?

The Fourier transform can be used to interpolate functions and to smooth signals. For example, in the processing of pixelated images, the high spatial frequency edges of pixels can easily be removed with the aid of a two-dimensional Fourier transform.

How does Fourier transform work?

The Fourier Transform is a mathematical technique that transforms a function of time, x(t), to a function of frequency, X(ω). ... Making these substitutions in the previous equation yields the analysis equation for the Fourier Transform (also called the Forward Fourier Transform).