DFT matrix

Known as: Discrete Fourier transform matrix, Fourier coordinates 
In applied mathematics, a DFT matrix is an expression of a discrete Fourier transform (DFT) as a transformation matrix, which can be applied to a… (More)
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Related topics

Related topics

13 relations
Boson samplingDiscrete Fourier transformDiscrete wavelet transformFast Fourier transform
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Broader (2)

Digital signal processingFourier analysis

Papers overview

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2016
2016
Efficient Hardware Architecture for Compressed Sensing with DFT Sensing Matrix
The reconstruction of a sparse signal from an undersampled set of linear measurements can be found in many engineering fields. In… (More)
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2011
2011
The discrete fractional Fourier transform based on the DFT matrix
We introduce a new discrete fractional Fourier transform (DFrFT) based on only the DFT matrix and its powers. Eigenvectors of the… (More)
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2011
2011
The su ( 2 ) α Hahn oscillator and a discrete Hahn-Fourier transform
We define the quadratic algebra su(2)α which is a one-parameter deformation of the Lie algebra su(2) extended by a parity… (More)
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2009
2009
Periodic Odd-Shift Orthogonal Sequences Based on Interleaved DFT Matrix
A class of multiphase sequences with periodic odd-shift orthogonal properties is presented. The constructed sequences are based… (More)
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2008
2008
Direct Batch Evaluation of Optimal Orthonormal Eigenvectors of the DFT Matrix
The generation of Hermite-Gaussian-like orthonormal eigenvectors of the discrete Fourier transform (DFT) matrix F is an essential… (More)
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Highly Cited
2007
Highly Cited
2007
Multi-object tracking with representations of the symmetric group
We present an efficient algorithm for approximately maintaining and updating a distribution over permutations matching tracks to… (More)
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2005
2005
Theoretical analysis on reconstruction-based super-resolution for an arbitrary PSF
This study presents and proves a condition number theorem for super-resolution (SR). The SR condition number theorem provides the… (More)
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Highly Cited
2000
Highly Cited
2000
The discrete fractional Fourier transform
We propose and consolidate a definition of the discrete fractional Fourier transform that generalizes the discrete Fourier… (More)
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Highly Cited
2000
Highly Cited
2000
Systematic design of unitary space-time constellations
We propose a systematic method for creating constellations of unitary space-time signals for multipleantenna communication links… (More)
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1997
1997
A new discrete fractional Fourier transform based on constrained eigendecomposition of DFT matrix by Largrange multiplier method
This paper is concerned with the definition of the discrete fractional Fourier transform (DFRFT). First, an eigendecomposition of… (More)
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