Fourier analysis

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Related to Fourier analysis: Fourier series
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  • noun

Synonyms for Fourier analysis

analysis of a periodic function into a sum of simple sinusoidal components

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References in periodicals archive ?
Fourier analysis has several drawbacks when it is applied to the time-domain signal which is corrupted by noise.
Slepian, Prolate spheroidal wavefunctions, Fourier analysis and uncertainty, IV: Extensions to many dimensions; generalized prolate spheroidal functions, Bell Sys.
We first use Fourier analysis to gain some insight into the behavior of the Chambolle iterations and the associated Algorithm 3.
Wavelet-based methods offer a viable alternative to the ubiquitous Fourier analysis (e.
Some of these include peak, valley and zero finding, Fourier analysis, smoothing, interpolating and extracting sections of data.
On one page, an engineer describes how she applies the Fourier analysis techniques she learned in math class to the work she does now.
The net constructed this generating function in a method somewhat analogous to the mathematical technique called Fourier analysis, which enables scientists to approximate any curve by adding together sine waves of different frequency, phase and amplitude Instead of sine waves, however, the net used another trigonometric function, hyperbolic tangents (tanh).
Familiarity with Fourier analysis will enhance understanding of some topics.
Objective: "This project aims to develop the field of Harmonic Analysis, and more precisely to study problems at the interface between Fourier Analysis and PDEs (and also some Geometry).
In sections on finite dimensional perturbations, applications to optimization and Markov processes, and infinite dimensional perturbations, they discuss such topics as the inversion of analytically perturbed matrices, polynomial perturbation of algebraic nonlinear systems, applications to Markov decision processes, the analytic perturbation of linear operators, and background on Hilbert spaces and Fourier analysis.
Fourier Analysis and Its Application, Thomson Brooks/Cole, ISBN 9780534170943, Pacific Grove
Most chapters use nothing more than simple plots and basic algebra, but some topics require calculus, vector operations, and Fourier analysis.
Some comments on Fourier analysis, uncertainty and modeling.