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 ?
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.
The resultant elliptic Fourier coefficients from the Elliptic Fourier Analysis were then subjected to Multivariate Analysis of Variance (MANOVA) and Canonical Variate Analysis (CVA).
Pollak, Prolate spheroidal wavefunctions, Fourier analysis and uncertainty III, Bell Sys.
Fourier analysis is the decomposition of a signal in terms of sinusoidal functions of different frequencies that can be recombined to obtain the original signal.
Carried out by the authors analysis of the received signal with application of Fourier analysis (Figure 2) confirmed presented above conclusions about possibility of identification of global stages (events) of a technological process.
Presenting a practical, problem-based approach to color physics, this book describes the key issues encountered in modern color engineering, including efficient representation of color information, fourier analysis of reflectance spectra and advanced colorimetric computation.
image restoration, nonlinear partial differential equations, singularity, nonlinear iterations, Fourier analysis, multigrid method
In essence, wavelet estimators extend the main ideas of Fourier analysis to situations, in which different forms of non-stationary behavior are expected.
The use of Fourier analysis and Mandelbrot's fractal equation in the generation of computer or techno music could be mentioned as an interesting application, along with other well-known applications of the fractal equation in studies of climatology, coastlines, soil erosion, mountains, seismic patterns and other aspects of nature such as: snowflakes, ferns, the branches of a tree, and the florets of a cauliflower.
int] from a Fourier analysis of the photodiode signal when the magnetometer is operated under optimal conditions (Fig.
Automated Fourier Analysis (FFT) routines offer a level of diagnosis that removes a good deal of the guesswork as to the origin of machine related variations," he said.