• DocumentCode
    396481
  • Title

    Angular decompositions for the discrete fractional signal transforms

  • Author

    Yeh, Man-Hung

  • Author_Institution
    Dept. of Electron. Eng., Nat. I-LAN Inst. of Technol., Taiwan
  • Volume
    4
  • fYear
    2003
  • fDate
    25-28 May 2003
  • Abstract
    In this paper, a generalized angular decomposition algorithm for the discrete fractional signal transforms is proposed. By the angular decomposition algorithm, the discrete fractional signal transforms can be computed by a weighted summation of the transform evaluated at special angles. Also the weighting coefficients are just equal to the inverse discrete Fourier transform of the eigenvalues of the fractional signal transform kernels.
  • Keywords
    discrete Fourier transforms; eigenvalues and eigenfunctions; signal processing; discrete fractional signal transforms; eigenvalues; fractional signal transform kernels; generalized angular decomposition algorithm; inverse DFT; inverse discrete Fourier transform; transform weighted summation; weighting coefficients; Discrete Fourier transforms; Discrete cosine transforms; Discrete transforms; Eigenvalues and eigenfunctions; Fourier transforms; Karhunen-Loeve transforms; Kernel; Signal detection; Time frequency analysis;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits and Systems, 2003. ISCAS '03. Proceedings of the 2003 International Symposium on
  • Print_ISBN
    0-7803-7761-3
  • Type

    conf

  • DOI
    10.1109/ISCAS.2003.1205781
  • Filename
    1205781