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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The Fourier transform goes back and forth between these two sides.
—
Erica Klarreich, Quanta Magazine, 19 July 2024
For those of you who don’t remember your college signal processing, a Fourier transform is a mathematical tool that turns a signal in time, such as the oscillation of voltage in a circuit, into a signal in frequency.
—IEEE Spectrum, 22 Dec. 2023
The Fourier transform has played a fundamental role in solving differential equations, expressing quantum mechanical ideas like the Heisenberg uncertainty principle, and analyzing and processing signals — making things like modern mobile phones possible.
—Quanta Magazine, 12 Sep. 2023
This later inspired mathematicians to develop a hierarchy of conjectures about the higher-dimensional behavior of the Fourier transform.
—Jordana Cepelewicz, Quanta Magazine, 11 July 2023
As a result, the Fourier transform has led directly to a number of applications in scientific research and technology.
—Quanta Magazine, 13 Oct. 2021
Similar to the discrete Fourier transform, the DCT converts a signal or image from the spatial domain (a matrix of pixels) to the frequency domain (in which images are represented by mathematical functions).
—Jae Jeong Hwang, IEEE Spectrum, 1 Apr. 2023
Performing a Fourier transform involves representing a signal in terms of its sines and cosines of various frequencies, Stern says.
—Kat Friedrich, Popular Mechanics, 13 Feb. 2023
Wavelets came about as a kind of update to an enormously useful mathematical technique known as the Fourier transform.
—Quanta Magazine, 13 Oct. 2021
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Erica Klarreich, Quanta Magazine, 19 July 2024
For those of you who don’t remember your college signal processing, a Fourier transform is a mathematical tool that turns a signal in time, such as the oscillation of voltage in a circuit, into a signal in frequency.
—IEEE Spectrum, 22 Dec. 2023
The Fourier transform has played a fundamental role in solving differential equations, expressing quantum mechanical ideas like the Heisenberg uncertainty principle, and analyzing and processing signals — making things like modern mobile phones possible.
—Quanta Magazine, 12 Sep. 2023
This later inspired mathematicians to develop a hierarchy of conjectures about the higher-dimensional behavior of the Fourier transform.
—Jordana Cepelewicz, Quanta Magazine, 11 July 2023
As a result, the Fourier transform has led directly to a number of applications in scientific research and technology.
—Quanta Magazine, 13 Oct. 2021
Similar to the discrete Fourier transform, the DCT converts a signal or image from the spatial domain (a matrix of pixels) to the frequency domain (in which images are represented by mathematical functions).
—Jae Jeong Hwang, IEEE Spectrum, 1 Apr. 2023
Performing a Fourier transform involves representing a signal in terms of its sines and cosines of various frequencies, Stern says.
—Kat Friedrich, Popular Mechanics, 13 Feb. 2023
Wavelets came about as a kind of update to an enormously useful mathematical technique known as the Fourier transform.
—Quanta Magazine, 13 Oct. 2021
Dictionary Entries Near Fourier transform
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“Fourier transform.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/Fourier%20transform. Accessed 14 Nov. 2024.
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