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DFT matrix

In applied mathematics, a DFT matrix is a square matrix as an expression of a discrete Fourier transform (DFT) as a transformation matrix, which can be applied to a signal through matrix multiplication.

Definition, Examples & A limiting case: The Fourier operator

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Overview

Definition

Examples

Unitary transform

A limiting case: The Fourier operator

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Map overview Semantic statistics

DFT matrix

Nodes25
Edges24
Triples21
Avg. degree1.92
Density0.08
Components1

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DFT matrix

Top relations

related to A limiting case: The Fourier operator · 7
DFT matrix → DFT, Fourier, Fredholm, In, N-point DFT, One, The
related to Definition · 6
DFT matrix → An N-point DFT, DFT, N-1, N-by-N, The, Wx
related to Other properties · 3
DFT matrix → DFT, For, Fourier
related to Four-point · 2
DFT matrix → DFT, The
is a · 1
DFT matrix → square matrix as an expression of a discrete Fourier transform

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Important terminology

matrix displaystyle dft fourier transform signal sqrt row unitary omega frequency square case operator complex measures negative fractional transformation multiplication

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
DFT matrixis asquare matrix as an expression of a discrete Fourier transform0.90text
Hadamard matrixinstance ofSimilar techniques can be applied for multiplications by matrices0.80text
the Walsh matrixinstance ofSimilar techniques can be applied for multiplications by matrices0.80text
DFT matrixrelated to A limiting case: The Fourier operatorThe0.60section
DFT matrixrelated to A limiting case: The Fourier operatorFourier0.60section
DFT matrixrelated to A limiting case: The Fourier operatorOne0.60section
DFT matrixrelated to A limiting case: The Fourier operatorN-point DFT0.60section
DFT matrixrelated to A limiting case: The Fourier operatorIn0.60section
DFT matrixrelated to A limiting case: The Fourier operatorFredholm0.60section
DFT matrixrelated to A limiting case: The Fourier operatorDFT0.60section
DFT matrixrelated to DefinitionAn N-point DFT0.60section
DFT matrixrelated to DefinitionWx0.60section

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