Definition:Fast Fourier Transform

Definition

The fast Fourier transform is a way of evaluating the discrete Fourier transform in a number of operations proportional to $n \ln n$ for a sequence of $n$ points.

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Also see

• Results about fast Fourier transforms can be found here.

Source of Name

This entry was named for Joseph Fourier.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): discrete Fourier transform
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): fast Fourier transform (FFT)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): discrete Fourier transform
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): fast Fourier transform (FFT)