Waves and mathematical physics

Fourier transform

A transformation that represents a signal or function through frequency components.

Common notation Xₖ=Σxₙe⁻ⁱ²πkn/N

In one sentence

What does Fourier transform mean?

A transformation that represents a signal or function through frequency components.

How it is written

Xₖ=Σxₙe⁻ⁱ²πkn/N

A compact example

A four-sample discrete transform separates the samples into four frequency bins.

Other names and search terms

DFT, frequency transform.

Clear answers

Questions about Fourier transform

What does Fourier transform mean in mathematics?

A transformation that represents a signal or function through frequency components.

How is Fourier transform written?

A common notation is Xₖ=Σxₙe⁻ⁱ²πkn/N.

What is an example of Fourier transform?

A four-sample discrete transform separates the samples into four frequency bins.