Definitions

1. noun

A mathematician who developed the mathematical theory of the representation of functions as sums of sinusoidal components, especially Joseph Fourier (1768-1830).

“The mathematician was a renowned Fourier expert.”

2. noun

A mathematical technique or analysis using the Fourier method, especially for representing periodic functions.

“The Fourier analysis revealed the underlying pattern in the data.”

3. noun

A mathematical transform or function that decomposes a function or signal into its constituent frequencies, especially the discrete Fourier transform (DFT) or the fast Fourier transform (FFT).

“The DFT was used to decompose the signal into its frequency components.”

4. verb

To apply the Fourier method or transform to a function or signal.

“The signal was Fourier transformed to reveal its frequency components.”