Fourier analysis


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Related to Fourier analysis: Fourier series

Fourier analysis

n.
The branch of mathematics concerned with the approximation of periodic functions by the Fourier series and with generalizations of such approximations to a wider class of functions.

Fourier analysis

(ˈfʊərɪˌeɪ)
n
(Mathematics) the analysis of a periodic function into its simple sinusoidal or harmonic components, whose sum forms a Fourier series
[C19: named after Baron Jean Baptiste Joseph Fourier (1768–1830), French mathematician, Egyptologist, and administrator]

Fou′rier anal`ysis


n.
the expression of any periodic function as a sum of sine and cosine functions, as in an electromagnetic wave function.
[1925–30; after J.B.J. Fourier]
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.Fourier analysis - analysis of a periodic function into a sum of simple sinusoidal components
analysis - a branch of mathematics involving calculus and the theory of limits; sequences and series and integration and differentiation
Translations
Fourier-Analyse
References in periodicals archive ?
cochisei, as well as the shape of the hybrid individuals, quantified by the elliptical Fourier analysis (Fig.
Three years after Wiener's (1948) publication of Cybernetics, David Bohm (1951) stressed the importance of Fourier's equations on the first page of his well-received 646-page textbook, Quantum, Theory, where he encouraged a familiarity with Fourier analysis for an ontological understanding of quantum phenomena:
The results of Fourier analysis studies can be summarized and visualized using principal component analysis (PCA).
The book, Albert Michelson's Harmonic Analyzer: A Visual Tour of a Nineteenth Century Machine That Performs Fourier Analysis, is available as a free PDF download at www.
Prony method is a technique for modeling time series data as a linear combination of exponentials and it extends Fourier analysis.
By combining the time domain and classical Fourier analysis, the wavelet transform provides simultaneously spectral representation and temporal order of the signal decomposition components, which is also applied to perform the analysis of NDE ultrasonic signal received during the inspection of reinforced composite materials.
To this end, we analyze the business cycles observed throughout the XX century and the elapsed years of the XXI century in light of the DJIA/GF ups and downs; then, a Fourier analysis allows one to have a deep understanding of the strongly cyclical behavior of the DJIA/GF ratio; and, finally, we build a predictive model based on artificial intelligence methodologies, i.
At present, the most common outline methods involve Fourier analysis (Campana & Casselman, 1993), and elliptical Fourier series analysis to describe the shape of otoliths (Kuhl & Giardina, 1982; Stransky et al.
This requires specific mathematical methods which go beyond the classical Fourier analysis.
Another algorithm which was based on the Fourier analysis for CSAR was presented in [12].
Pollak, Prolate spheroidal wave functions, Fourier analysis and uncertainty II, Bell Sys.