Direct sequential evaluation of optimal orthonormal eigenvectors of the discrete Fourier transform matrix by constrained optimization

Magdy Tawfik Hanna

doi:10.1016/j.dsp.2012.02.010

Direct sequential evaluation of optimal orthonormal eigenvectors of the discrete Fourier transform matrix by constrained optimization

Digital Signal Processing ◽

10.1016/j.dsp.2012.02.010 ◽

2012 ◽

Vol 22 (4) ◽

pp. 681-689 ◽

Cited By ~ 6

Author(s):

Magdy Tawfik Hanna

Keyword(s):

Fourier Transform ◽

Constrained Optimization ◽

Discrete Fourier Transform ◽

Transform Matrix ◽

Sequential Evaluation

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Hermite-Gaussian-like eigenvectors of the discrete Fourier transform matrix based on the direct utilization of the orthogonal projection matrices on its eigenspaces

IEEE Transactions on Signal Processing ◽

10.1109/tsp.2006.873497 ◽

2006 ◽

Vol 54 (7) ◽

pp. 2815-2819 ◽

Cited By ~ 25

Author(s):

M.T. Hanna ◽

N.P.A. Seif ◽

W.A.E.M. Ahmed

Keyword(s):

Fourier Transform ◽

Discrete Fourier Transform ◽

Orthogonal Projection ◽

Transform Matrix ◽

Projection Matrices

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Computation of a real eigenbasis for the Simpson discrete Fourier transform matrix

ScienceAsia ◽

10.2306/scienceasia1513-1874.2014.40s.051 ◽

2014 ◽

Vol 40S (1) ◽

pp. 51

Author(s):

Virath Singh ◽

Pravin Singh

Keyword(s):

Fourier Transform ◽

Discrete Fourier Transform ◽

Transform Matrix

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Simplification and factorization of the discrete Fourier transform matrix

Discrete Transforms ◽

10.1007/978-94-011-2358-7_6 ◽

1992 ◽

pp. 141-155

Author(s):

Jean M. Firth

Keyword(s):

Fourier Transform ◽

Discrete Fourier Transform ◽

Transform Matrix

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Hermite–Gaussian-Like Eigenvectors of the Discrete Fourier Transform Matrix Based on the Singular-Value Decomposition of Its Orthogonal Projection Matrices

IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications ◽

10.1109/tcsi.2004.836850 ◽

2004 ◽

Vol 51 (11) ◽

pp. 2245-2254 ◽

Cited By ~ 30

Author(s):

M.T. Hanna ◽

N.P.A. Seif ◽

W.A.E.M. Ahmed

Keyword(s):

Fourier Transform ◽

Singular Value Decomposition ◽

Discrete Fourier Transform ◽

Orthogonal Projection ◽

Singular Value ◽

Transform Matrix ◽

Value Decomposition ◽

Projection Matrices

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Processor arrays for two-dimensional discrete Fourier transform

IEE Proceedings E Computers and Digital Techniques ◽

10.1049/ip-e.1993.0014 ◽

1993 ◽

Vol 140 (2) ◽

pp. 101

Author(s):

D.V. Korchev ◽

Ju.S. Kanevsky

Keyword(s):

Fourier Transform ◽

Discrete Fourier Transform ◽

Two Dimensional ◽

Processor Arrays

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Randomness Test to Solve Discrete Fourier Transform Test Problems

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1587/transfun.e101.a.1204 ◽

2018 ◽

Vol E101.A (8) ◽

pp. 1204-1214 ◽

Cited By ~ 1

Author(s):

Atsushi IWASAKI ◽

Ken UMENO

Keyword(s):

Fourier Transform ◽

Discrete Fourier Transform ◽

Test Problems ◽

Randomness Test

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Control of Resonant Electromagnetic Vibrational Drive Using a Digital Filtering Algorithm Based on Discrete Fourier Transform

Journal of Automation and Information Sciences ◽

10.1615/jautomatinfscien.v46.i7.50 ◽

2014 ◽

Vol 46 (7) ◽

pp. 53-68 ◽

Cited By ~ 3

Author(s):

Alexander A. Cherno

Keyword(s):

Fourier Transform ◽

Discrete Fourier Transform ◽

Digital Filtering ◽

Filtering Algorithm

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On the Highest Accuracy of Spectral Estimation of Harmonic Signals by the Discrete Fourier Transform

Journal of Automation and Information Sciences ◽

10.1615/jautomatinfscien.v31.i1-3.110 ◽

1999 ◽

Vol 31 (1-3) ◽

pp. 87-94

Author(s):

Yu. E. Ivanov

Keyword(s):

Fourier Transform ◽

Discrete Fourier Transform ◽

Spectral Estimation ◽

Harmonic Signals

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2-D Octonion Discrete Fourier Transform: Fast Algorithms - Authors

Electronic Imaging ◽

10.2352/issn.2470-1173.2017.13.ipas-200-errata1 ◽

2017 ◽

Keyword(s):

Fourier Transform ◽

Discrete Fourier Transform ◽

Fast Algorithms

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Digital Image Watermarking in Discrete Fourier Transform domain

International Journal of Computer Sciences and Engineering ◽

10.26438/ijcse/v6i5.1622 ◽

2018 ◽

Vol 6 (5) ◽

pp. 16-22

Author(s):

Ningombam Jimson ◽

◽

Kattamanchi Hemachandran

Keyword(s):

Fourier Transform ◽

Discrete Fourier Transform ◽

Digital Image ◽

Image Watermarking ◽

Digital Image Watermarking ◽

Transform Domain ◽

Fourier Transform Domain

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