Fourier transform

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

[After Baron Jean Baptiste Joseph Fourier.]

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

Fourier transform

(Mathematics) an integral transform, used in many branches of science, of the form F(x) = [1/√(2π)]∫e^ixyf(y)dy, where the limits of integration are from –∞ to +∞ and the function F is the transform of the function f

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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.

Temporal Analysis of Wind Data for Wind-Driven Ventilation Assessment

Relationship between Quaternion Fourier Transform (QFT) and Quaternion Linear Canonical Transform (QLCT)

A Version of Uncertainty Principle for Quaternion Linear Canonical Transform

Haseth, Fourier Transform Infrared Spectrometry, Wiley, New York, 1986.

The Designing of Magnetic-Driven Micromirror for Portable FTIRs

In this paper, we propose a method for resolving overlapping signals based on Fourier transform and inverse Fourier transform.

Overlapping Signal Separation Method Using Superresolution Technique Based on Experimental Echo Shape

(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.

Accurate 2-D AOA Estimation and Ambiguity Resolution for a Single Source under Fixed Uniform Circular Arrays

In [7], the author studied that the fractional Fourier transform (FrFT) can be reduced to the classical Fourier transform.

Relation between Quaternion Fourier Transform and Quaternion Wigner-Ville Distribution Associated with Linear Canonical Transform

The main idea now consists in a combination of the discrete Laplace and a nonequispaced Fourier transform [6, 11, 12, 18, 19, 23, 27].

FAST EVALUATION OF REAL AND COMPLEX EXPONENTIAL SUMS

An improved method called Window Fourier Transform (WFT) (Lei et al., 2010) is put up by Gbaor.

Comparative study on three-dimensional reconstruction of wheel surface by FTP and WTP methods