Definition of Fourier analysis

1. Noun. Analysis of a periodic function into a sum of simple sinusoidal components.

Exact synonyms: Harmonic Analysis
Generic synonyms: Analysis

Medical Definition of Fourier analysis

1. Analysis based on the mathematical function first formulated by jean-baptiste-joseph fourier in 1807. The function, known as the fourier transform, describes the sinusoidal pattern of any fluctuating pattern in the physical world in terms of its amplitude and its phase. It has broad applications in biomedicine, e.g., analysis of the X-ray crystallography data pivotal in identifying the double helical nature of DNA and in analysis of other molecules, including viruses, and the modified back-projection algorithm universally used in computerised tomography imaging, etc. (12 Dec 1998)

Fourier Analysis Pictures

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Lexicographical Neighbors of Fourier Analysis

fourdriniers
foure
foureyed
fourfold
fourfold point correlation
fourfoldness
fourfooted
fourgie
fourgies
fourgon
fourgons
fourgram
fourhanded
fourhorn sculpin
fourhorn sculpins
fourier analysis (current term)
fourish
fourlegged
fourling
fourlings
fourmarierite
fourneau
fourness
fournier's gangrene
fourpartite
fourpeat
fourpence
fourpences
fourpennies
fourpenny

Literary usage of Fourier analysis

Below you will find example usage of this term as found in modern and/or classical literature:

1. Studies from the Yale Psychological Laboratory by Yale University Psychological Laboratory, Edward Wheeler Scripture (1899)
"The FOURIER analysis in such a case undoubtedly expresses the nature of the tone. In the case of sung vowels the assumption that the vocal cords vibrate ..."

2. Pamphlets in Philology and the Humanities by Edward Wheeler Scripture, Fred Newton Scott, Jan Niecisław Baudouin de Courtenay, Clarence Linton Meader, Carl Schurz, Merle Harrold Thorpe, James Geddes, Calvin Milton Woodward, Orestes Pearle Rhyne, Claud Howard, Roger Wells, Otto Eduard Lessing (1907)
"The FOURIER analysis in such a case undoubtedly expresses the nature of the tone. In the case of sung vowels the assumption that the vocal cords vibrate ..."

3. Project Impact edited by Ann McNeal (1998)
"Short Course on fourier analysis, Bates College, Lewiston, ME, July 1994. ... "Visualizing the concepts of elementary fourier analysis with FOURIER," Proc. ..."

4. Aether and Matter: A Development of the Dynamical Relations of the Aether to by Sir Joseph Larmor (1900)
"The fourier analysis preparatory to the dynamics of refraction of compound radiation ... Of course the object of the theoretical fourier analysis ia only to ..."

5. Transactions of the American Institute of Electrical Engineers by American Institute of Electrical Engineers (1917)
"fourier analysis of flux waves in Fig. 11. ... The fourier analysis of the curves E0, Em and £,• are indicated in Fig. 10. The harmonics beyond the fifth ..."

6. Gaseous Electronics Conference Radio-Frequency Reference Cell: Reprint From edited by James K. Olthoff (1996)
"Therefore, the first step in the analysis of measured waveforms is almost always fourier analysis, most commonly accomplished using the Fast Fourier ..."

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