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Fourier analysis
Fourier analysisn. 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] Thesaurus| Noun | 1. | Fourier analysis - analysis of a periodic function into a sum of simple sinusoidal componentsharmonic analysisanalysis - a branch of mathematics involving calculus and the theory of limits; sequences and series and integration and differentiation |
TranslationsFourier analysis
Fourier analysis[‚fu̇r·ē‚ā ə‚nal·ə·səs] (mathematics) The study of convergence of Fourier series and when and how a function is approximated by its Fourier series or transform. Fourier analysis
Fou·ri·er a·nal·y·sis (fūr-ē-ā'), a mathematical approximation of a function as the sum of periodic functions (sine and/or cosine waves) of different frequencies; a method of converting a function of time or space into a function of frequency; used in reconstruction of images in computed tomography and magnetic resonance imaging in radiology and in analysis of any kind of signal for its frequency content. Synonym(s): Fourier transfer, Fourier transformFou·ri·er a·nal·y·sis (fūr-ē-ā' ă-nal'i-sis) A mathematical approximation of a function as the sum of periodic functions (sine waves) of different frequencies; used in reconstruction of magnetic resonance images and computed tomographs and analysis of any kind of signal for its frequency content. Fourier, J.B.J., French mathematician and administrator, 1768-1830. Fourier analysis - used in reconstruction of images in computed tomography and magnetic resonance imaging in radiology and in analysis of any kind of signal for its frequency content. Synonym(s): Fourier law; Fourier transformFourier law - Synonym(s): Fourier analysisFourier transform - Synonym(s): Fourier analysisFourier analysisThe mathematical breakdown of waveforms into simple sine wave constituents. Any complex waveform consists of sine waves of different frequencies: the slowest (fundamental) frequency and harmonics thereof (these are frequencies which are odd multiples of the fundamental frequency). It is used in analysis and reconstruction of waveforms as, for example, analysing the spatial frequency components of a visual image. Syn. Fourier transform. See contrast sensitivity.AcronymsSeefanartFourier analysis
Related to Fourier analysis: Fourier seriesSynonyms for Fourier analysisnoun analysis of a periodic function into a sum of simple sinusoidal componentsSynonymsRelated Words |