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Discrete Fourier transform

In mathematics, the discrete Fourier transform (DFT) is a discrete version of the Fourier transform that converts a finite sequence of numbers into another sequence of the same length, representing the amplitude and phase of different frequency components. In this way, it changes data from a description in terms of sampled values to a description in…

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Overview

Definition

Properties

Generalized DFT (shifted and non-linear phase)

Multidimensional DFT

Applications

Generalizations

Alternatives

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Discrete Fourier transform

Nodes163
Edges162
Triples162
Avg. degree1.99
Density0.01227
Components1

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Discrete Fourier transform

Top relations

related to Further reading · 82
Discrete Fourier transform → Acoustics, Ahmed, Algorithms, Applications, Applied, Archived, Audio, Bibcode, Bradley, Brigham, CA, Calif, California Technical Publishing, Candan, Casper, Chapter, Charles, Circuits, Clifford Stein, Computational Harmonic Analysis
related to External links · 21
Discrete Fourier transform → DFT, DFTMathematics, DFTMatlab, Discrete Fourier Transformation Archived, Discrete Fourier TransformDiscrete Fourier, Fast, FORTRAN, Fourier TransformIndexing, GDFT, General Public License, General Purpose FFT Package, GPL, Interactive, Julius, Nonlinear Phase, Smith IIIFFTW, The Discrete Fourier TransformDiscrete, Transform, Transform PropertiesGeneralized Discrete Fourier, Wayback MachineInteractive
related to Generalized DFT (shifted and non-linear phase) · 10
Discrete Fourier transform → DFT, Fourier, GDFT, It, Most, O2 DFT, Such, This, Thus, While
related to Data compression · 9
Discrete Fourier transform → Compression, DFT, For, Fourier, In, JPEG, JPEG2000, Some, The
related to Alternatives · 8
Discrete Fourier transform → As, DFT, DWT, For, Fourier, From, The, There
related to Other fields · 8
Discrete Fourier transform → DFT, FFT, For, Fourier, Many, NTTs, Plancherel/Parseval, Such
related to Partial differential equations · 8
Discrete Fourier transform → DFT, Discrete Fourier, Fourier, However, One, Such, The, Thus
related to Uniqueness of the Discrete Fourier Transform · 5
Discrete Fourier transform → As, DFT, Fourier, It, Since
has application · 4
Discrete Fourier transform → All, DFT, Fourier, The DFT
related to Definition · 3
Discrete Fourier transform → Fourier, N-1, The

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Important terminology

displaystyle dft transform fourier discrete sequence frequency function eigenvectors also inverse fft data finite used complex mathbf dtft coefficients vector

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
convolutions or multiplying large integers.Since the DFT deals with a finite amount of datainstance ofand to perform other operations0.80text
it can be implemented in computers by numerical algorithms or even dedicated hardwareinstance ofand to perform other operations0.80text
Discrete Fourier transformhas applicationThe DFT0.60section
Discrete Fourier transformhas applicationAll0.60section
Discrete Fourier transformhas applicationDFT0.60section
Discrete Fourier transformhas applicationFourier0.60section
Discrete Fourier transformrelated to AlternativesThere0.60section
Discrete Fourier transformrelated to AlternativesDFT0.60section
Discrete Fourier transformrelated to AlternativesThe0.60section
Discrete Fourier transformrelated to AlternativesDWT0.60section
Discrete Fourier transformrelated to AlternativesFrom0.60section
Discrete Fourier transformrelated to AlternativesFourier0.60section

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