Fourier analysis


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Related to Fourier analysis: Fourier series

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.
References in periodicals archive ?
Elliptic Fourier analysis were conducted with a software package for quantitive evaluation of biological shapes based on EFDs (SHAPE ver.
This decomposition of periodic functions is a part of the very Fourier analysis.
Usefulness of Fourier analysis of otolith shape for Atlantic mackerel (Scomber scombrus) stock discrimination.
This procedure generated a total of 1,503,600 Cartesian (x and y) outline coordinates, which was used as data in elliptic Fourier analysis (EFA).
Elliptical Fourier analysis decomposes the outline of an object into a series of closed curves (called harmonics) that vary in size, shape, and orientation and that are generated by a known mathematical function.
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.
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.
Fourier Analysis (Fast Fourier Transform--FFT) (identify region of interest and edits performed on spectrum, such as spike cut, spike boost, low pass filter, and high pass filter)
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.