DocumentCode
3208501
Title
Revised Direct Batch Evaluation of optimal orthonormal eigenvectors of the DFT matrix
Author
Hanna, Magdy Tawfik
Author_Institution
Dept. of Eng. Math. & Phys., Fayoum Univ., Fayoum, Egypt
fYear
2012
fDate
5-8 Aug. 2012
Firstpage
1124
Lastpage
1127
Abstract
A Revised and more numerically accurate version of the Direct Batch Evaluation by constrained Optimization Algorithm (RDBEOA) of orthonormal eigenvectors of the DFT matrix F is (RDBEOA) of orthonormal eigenvectors of the DFT matrix F is from the fact that it performs the singular value decomposition (SVD) of a matrix whose elements have almost half the range of values of the elements of the matrix to which the SVD is applied in the previous Direct Batch Evaluation by constrained Optimization Algorithm (DBEOA). Having more accurate Hermite-Gaussian-like (HGL) orthonormal eigenvectors of matrix F is a main requirement in the development of the discrete fractional Fourier transform (DFRFT).
Keywords
discrete Fourier transforms; eigenvalues and eigenfunctions; matrix algebra; optimisation; singular value decomposition; DFT matrix; Hermite-Gaussian-like orthonormal eigenvector; constrained optimization algorithm; direct batch evaluation; discrete fractional Fourier transform; optimal orthonormal eigenvector; singular value decomposition; Approximation algorithms; Discrete Fourier transforms; Equations; Matrix decomposition; Optimization; Direct Batch Evaluation by constrained Optimization Algorithm (DBEOA); Hermite-Gaussian-like (HGL) eigenvectors; discrete Fourier transform (DFT); discrete fractional Fourier transform (DFRFT); singular value decomposition (SVD);
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems (MWSCAS), 2012 IEEE 55th International Midwest Symposium on
Conference_Location
Boise, ID
ISSN
1548-3746
Print_ISBN
978-1-4673-2526-4
Electronic_ISBN
1548-3746
Type
conf
DOI
10.1109/MWSCAS.2012.6292222
Filename
6292222
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