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 ?
An improved method called Window Fourier Transform (WFT) (Lei et al.
It is known that the Fourier transform weakness is manifested in lack of response to local changes in the signal, and impossibility to identify this signal by its frequency spectrum [4].
As a result, the discrete-time Fourier transform facilitates digital storage and computation of real-world signals and their reperformance, since the operation can be time inverted.
alpha]] coincides with the classical Fourier transform.
In this paper, we thus, compute time domain expressions /closed forms of band limited signal pulses using Fourier transform properties sensibly.
Power system transients analysis and signal processing can be carried out by transforming the signal from the time domain to the frequency domain by using, among other tools, the Fourier Transform (FFT) or the Wavelet Transform (WT) (Robertson et al, 1996; Gomez-Luna et al, 2013).
Keywords: Circular convolution, circular deconvolution, discrete Fourier transform, circular convolution equations.
Application of Fourier Transform techniques to the results has lowered the detection limit from the microgram to the nanogram range and from the ppm to ppb level.
1) applies to a Fourier transform pair of variables.
Saxena, "Improved Fractional Fourier Transform Based Receiver for Spatially Multiplexed MIMO Antenna Systems", Wireless Personal Communications, Springer Netherlands, vol.
The traditional fast Fourier transform (FFT) algorithm is the most popular approach to evaluate the Fourier transform.
Fourier Transform Infrared Spectroscopy analysis results in an absorption spectra which provides information about the chemical bonds and molecular structure of a material.
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