• 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