Fourier transform

noun

: any of various functions (such as F(u)) that under suitable conditions can be obtained from given functions (such as f(x)) by multiplying by eiux and integrating over all values of x and that in scientific instrumentation describe the dependence of the average of a series of measurements (as of a spectrum) on a quantity of interest (such as brightness) especially of a very small magnitude

called also Fourier transformation

Examples of Fourier transform in a Sentence

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Once that measurement is obtained, the team uses a mathematical process called the Fourier transform to identify any problematic frequencies that might be causing undue vibration. Kristin Shaw, Popular Science, 25 June 2025 In addition, each chip possesses a fast Fourier transform accelerator for efficient low-power signal processing. IEEE Spectrum, 5 June 2025 Tower of Dreams The conjecture’s resolution is a seismic shift for the field of harmonic analysis, which studies the details of the Fourier transform. Joseph Howlett, Quanta Magazine, 14 Mar. 2025 The researchers used advanced techniques, including gas chromatography and Fourier transform infrared spectroscopy, to determine what the tunic was made from. Marco Rubio, Newsweek, 1 Nov. 2024

Word History

First Known Use

1923, in the meaning defined above

Time Traveler
The first known use of Fourier transform was in 1923

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Cite this Entry

“Fourier transform.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/Fourier%20transform. Accessed 5 Sep. 2025.

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