11-411: Fourier may refer to: Fourier (surname) , French surname Mathematics [ edit ] Fourier series , a weighted sum of sinusoids having a common period, the result of Fourier analysis of a periodic function Fourier analysis , the description of functions as sums of sinusoids Fourier transform , the type of linear canonical transform that
22-529: A short term of time, used in the area of signal analysis Fractional Fourier transform (FRFT), a linear transformation generalizing the Fourier transform, used in the area of harmonic analysis Discrete-time Fourier transform (DTFT), the reverse of the Fourier series, a special case of the Z-transform around the unit circle in the complex plane Discrete Fourier transform (DFT), occasionally called
33-455: Is different from Wikidata All set index articles List of Fourier-related transforms This is a list of linear transformations of functions related to Fourier analysis . Such transformations map a function to a set of coefficients of basis functions , where the basis functions are sinusoidal and are therefore strongly localized in the frequency spectrum . (These transforms are generally designed to be invertible.) In
44-457: Is the generalization of the Fourier series Fourier operator , the kernel of the Fredholm integral of the first kind that defines the continuous Fourier transform Fourier inversion theorem , any one of several theorems by which Fourier inversion recovers a function from its Fourier transform Short-time Fourier transform or short-term Fourier transform (STFT), a Fourier transform during
55-643: The surname Fourier . If an internal link intending to refer to a specific person led you to this page, you may wish to change that link by adding the person's given name (s) to the link. Retrieved from " https://en.wikipedia.org/w/index.php?title=Fourier_(surname)&oldid=1226859825 " Categories : Surnames French-language surnames Occupational surnames Surnames of French origin Surnames of Belgian origin Hidden categories: Articles with short description Short description
66-442: The Fourier modulus), a ratio α t / d 2 {\displaystyle \alpha t/d^{2}} of the rate of heat conduction α t {\displaystyle \alpha t} to the rate of thermal energy storage d 2 {\displaystyle d^{2}} Fourier-transform spectroscopy , a measurement technique whereby spectra are collected based on measurements of
77-450: The case of the Fourier transform, each basis function corresponds to a single frequency component. Applied to functions of continuous arguments, Fourier-related transforms include: For usage on computers , number theory and algebra, discrete arguments (e.g. functions of a series of discrete samples) are often more appropriate, and are handled by the transforms (analogous to the continuous cases above): The use of all of these transforms
88-698: The finite Fourier transform, the Fourier transform of a discrete periodic sequence (yielding discrete periodic frequencies), which can also be thought of as the DTFT of a finite-length sequence evaluated at discrete frequencies Fast Fourier transform (FFT), a fast algorithm for computing a discrete Fourier transform Generalized Fourier series , generalizations of Fourier series that are special cases of decompositions over an orthonormal basis of an inner product space In physics and engineering [ edit ] The Fourier number ( F o {\displaystyle {\mathit {Fo}}} ) (also known as
99-525: The free dictionary. Fourier is a surname. Notable people with the surname include: Charles Fourier (1772–1837), French utopian socialist thinker Joseph Fourier (1768–1830), French mathematician and physicist Peter Fourier (1565–1640), French saint in the Roman Catholic Church and priest of Mattaincourt See also [ edit ] Fourier (disambiguation) [REDACTED] Surname list This page lists people with
110-517: The link to point directly to the intended article. Retrieved from " https://en.wikipedia.org/w/index.php?title=Fourier&oldid=1226859000 " Category : Disambiguation pages Hidden categories: Short description is different from Wikidata All article disambiguation pages All disambiguation pages Fourier (surname) [REDACTED] Look up Fourier in Wiktionary,
121-481: The temporal coherence of a radiative source See also [ edit ] List of Fourier-related transforms , a list of linear transformations of functions related to Fourier analysis Fourier (crater) Fourier Island , small rocky island near Cape Mousse, Antarctica Topics referred to by the same term [REDACTED] This disambiguation page lists articles associated with the title Fourier . If an internal link led you here, you may wish to change
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