Fast Fourier Transform


Also found in: Medical, Acronyms, Wikipedia.

fast Fourier transform

[¦fast ‚fu̇r·ē‚ā ′tranz‚fȯrm]
(mathematics)
A Fourier transform employing the Cooley-Tukey algorithm to reduce the number of operations. Abbreviated FFT.

Fast Fourier Transform

(algorithm)
(FFT) An algorithm for computing the Fourier transform of a set of discrete data values. Given a finite set of data points, for example a periodic sampling taken from a real-world signal, the FFT expresses the data in terms of its component frequencies. It also solves the essentially identical inverse problem of reconstructing a signal from the frequency data.

The FFT is a mainstay of numerical analysis. Gilbert Strang described it as "the most important algorithm of our generation". The FFT also provides the asymptotically fastest known algorithm for multiplying two polynomials.

Versions of the algorithm (in C and Fortran) can be found on-line from the GAMS server here.

["Numerical Methods and Analysis", Buchanan and Turner].
Mentioned in ?
References in periodicals archive ?
The averaging values reflect the change of wind speed over time of the year and the seasonality of wind environment in the two cities are further investigated in detail by conducting Fast Fourier Transform (FFT) of the one-year wind data and results are shown in Figure 1.
Temporal Analysis of Wind Data for Wind-Driven Ventilation Assessment
Aggarwal, "Digital image Watermarking using Two Dimensional Discrete Wavelet Transform, Discrete Cosine Transform and Fast Fourier Transform," International Journal of Recent Trends in Engineering, vol.
Robust Digital Watermarking for High-definition Video using Steerable Pyramid Transform, Two Dimensional Fast Fourier Transform and Ensemble Position-based Error Correcting
Zeng, "Measuring residual stress of anisotropic thin film by fast Fourier transform," Optics Express, vol.
Effect of Oxygen Flow Rate on the Optical, Electrical, and Mechanical Properties of DC Sputtering ITO Thin Films
The processing procedure are divided into two stages; Fast Fourier Transform (FFT) and Wavelet Analysis (WA).
PARTIAL DISCHARGE DETECTION METHOD AND PATTERN RECOGNITION USING FAST FOURIER TRANSFORM AND WAVELET ANALYSIS
Finally, all the results via the reduction technique based on complex modes (for the time series, the spectral content, and the limit cycles with the Fast Fourier Transform) are in perfect agreement with the reference performed via the finite element model without any interface condensation.
Simulation of Transient Nonlinear Friction-Induced Vibrations Using Complex Interface Modes: Application to the Prediction of Squeal Events
We combined the matrix form of this discrete Laplace transform with a generalized fast Fourier transform in a purely algebraic fashion, where we used the decomposition of the Laplace transform explicitly and a small number of generalized FFTs as black box.
FAST EVALUATION OF REAL AND COMPLEX EXPONENTIAL SUMS
To design such antenna patterns we adopted an iterative fast Fourier transform method [13, 14].
Synthesizing Sum and Difference Patterns with Low Complexity Feeding Network by Sharing Element Excitations
In this paper, we propose a new fast Fourier transform subspace-based optimization method (NFFT-SOM) which avoids a full SVD of [[??].sub.[partial derivative]], and fast Fourier transform can be used to accelerate the computational speed at the same time.
Two FFT Subspace-Based Optimization Methods for Electrical Impedance Tomography
The purpose of this research is segmentation of optic disc using the combination of Gaussian dan Fast Fourier Transform and median filter as the preprocessing stage and binary thresholding for the detection of the optic disc in the retinal image.
Gaussian and fast fourier transform for automatic retinal optic disc detection
The derived (D), the discrete fast Fourier transform (DFFT), the discrete cosine transform (DCT), and the discrete wavelet transform (DWT).
Compressive Sensing Hardware in 1-D Signals/Hardware de compressive sensing en senales 1D
2 Nearly optimal Sparse Fast Fourier Transform algorithm
Implementacion software eficiente de la Transformada de Fourier Escasa casi optima para el caso con ruido
What this means is a Fast Fourier Transform can decompose A-scans to yield a separate acoustic image for each sinusoid.
Advanced acoustic methods for locating flip chip faults: echoes can reveal otherwise elusive defects beneath the die

Encyclopedia browser ?
Full browser ?