Fourier Transform Time And Frequency Domains (small)

Fourier may refer to:

* Fourier (surname), French surname

Mathematics

*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 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 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 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

*The Fourier number ($\mathit$) (also known as the Fourier modulus), a ratio $\alpha t/d^2$ of the rate of heat conduction $\alpha t$ to the rate of thermal energy storage $d^2$
*Fourier-transform spectroscopy, a measurement technique whereby spectra are collected based on measurements of the temporal coherence of a radiative source

See also

*List of Fourier-related transforms, a list of linear transformations of functions related to Fourier analysis
*Fourier (crater)
* Fourier (company), a Chinese robotics company
* Fourier Island, small rocky island near Cape Mousse, Antarctica

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