# Fourier transform

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## Fourier transform

n.
An operation that maps a function to its corresponding Fourier series or to an analogous continuous frequency distribution.

[After Baron Jean Baptiste Joseph Fourier.]

## Fourier transform

n
(Mathematics) an integral transform, used in many branches of science, of the form F(x) = [1/√(2π)]∫eixyf(y)dy, where the limits of integration are from –∞ to +∞ and the function F is the transform of the function f
References in periodicals archive ?
Discrete Time Fourier Transform (DTFT) has been tremendously used to study cyclical behaviors in a wide range of fields (Alam et al.
Relationship between Quaternion Fourier Transform (QFT) and Quaternion Linear Canonical Transform (QLCT)
Haseth, Fourier Transform Infrared Spectrometry, Wiley, New York, 1986.
In this paper, we propose a method for resolving overlapping signals based on Fourier transform and inverse Fourier transform.
(3) A novel ambiguity resolution based on integer search and inverse Fourier transform is developed for fixed UCAs, and hence, it is applicable to real-time AOA estimations.
The special affine Fourier transform (SAFT) [3, 4], also known as the offset linear canonical transform [5, 6] or the inhomogeneous canonical transform [5], is a six-parameter (a, b, c, d, [u.sub.0], [w.sub.0]) class of linear integral transform.
In [7], the author studied that the fractional Fourier transform (FrFT) can be reduced to the classical Fourier transform.
Fourier Transform. This is an integral transform that transforms a function of one or more variables (in spatial domain) to another function (in frequency domain) of the same number of variables [3, 13, 14].
The main idea now consists in a combination of the discrete Laplace and a nonequispaced Fourier transform [6, 11, 12, 18, 19, 23, 27].
An improved method called Window Fourier Transform (WFT) (Lei et al., 2010) is put up by Gbaor.
The main problem here is to determine which properties of f guarantees the p-summability of its periodic Fourier transform. In this topic, chronologically one should apparently start with the celebrated paper by S.N.
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