### Definition of Fourier analysis

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

### 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

### 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 ..."