Fourier transform

[foor-ee-ey trans-fawrm, -ee-er]

noun

Mathematics.

1. a mapping of a function, as a signal, that is defined in one domain, as space or time, into another domain, as wavelength or frequency, where the function is represented in terms of sines and cosines. FT

Fourier transform

noun

1. an integral transform, used in many branches of science, of the form F( x ) = [1/√(2π)]ʃe ^ixy f( y )d y , where the limits of integration are from –∞ to +∞ and the function F is the transform of the function f

Word History and Origins

Origin of Fourier transform¹

First recorded in 1920–25; Fourier analysis

Example Sentences

These amplitude-modulated signals of different frequencies are then superimposed onto a single conductor, and a Fast Fourier Transform algorithm is finally used to decipher the individual signals.

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This method can extract different fluorophore signals, similar to how the human ear uses a mathematical model known as a Fourier transform to extract different pitches from a piece of music.

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They are created by feeding an audio signal into a Fourier transform, a mathematical model for translating sounds into another format.

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She found out about the xylazine in the drugs she took recently with a device a called a Fourier transform infrared spectrometer, which a donor gave her group this year.

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Not like a college textbook—there is a man named Kalid Azad, and he has a website called Better Explained where he explains things like the Fourier transform, which is a calculus theorem.

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