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
Link To Document :
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