Fourier Transform

The mathematically rigorous operation which transforms from the time domain to the frequency domain and vice versa.

The fourier transform of f(t) is

the inverse fourier transform of F(ω) is

See also: Fast Fourier Transform, Laplace Transform, Leakage.

Further reading:
• Fourier Transform and Its Applications, Ronald Bracewell, McGraw-Hill Book Company Ltd
• Fast Fourier Transform and Its Applications, E.Oran Brigham, Prentice-Hall