• DocumentCode
    642642
  • Title

    A class of generalized orthonormal functions

  • Author

    Fortuna, Luigi ; Frasca, Mattia ; Xibilia, Maria Gabriella

  • Author_Institution
    Dept. of Electr., Electron. & Comput. Eng., Univ. of Catania, Catania, Italy
  • fYear
    2013
  • fDate
    8-12 Sept. 2013
  • Firstpage
    1
  • Lastpage
    4
  • Abstract
    In this paper a new class of orthonormal functions which includes as particular case the Laguerre filters are introduced. These functions are defined as the product of a fixed transfer function of order n and of an all-pass filter of order n × h for any n and h. The orthogonality of these functions is proven in the general case. Moreover, the singular values of the sum of the first Nh members of this class are shown to be all equal to the orthonormalization constant.
  • Keywords
    all-pass filters; transfer functions; Laguerre filters; all-pass filter; generalized orthonormal functions; orthonormalization constant; transfer function; Approximation methods; Convergence; Educational institutions; Linear systems; Signal processing; Time-domain analysis; Transfer functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuit Theory and Design (ECCTD), 2013 European Conference on
  • Conference_Location
    Dresden
  • Type

    conf

  • DOI
    10.1109/ECCTD.2013.6662193
  • Filename
    6662193
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=642642