Fourier transform

The Fourier transform is a mathematical operation that converts a signal between the time/space domain and the frequency domain, decomposing a function into its constituent frequencies. It is often described in terms of transform pairs that map signals between complementary domains and used to simplify operations like convolution into multiplication.

Claims that use this term

• The Fourier transform trades costly time-domain convolution for simple frequency-domain multiplication
• The Fourier transform pair converts signals between time and frequency domains
• The Fourier transform unwinds periodic signals into flat DC