• DocumentCode
    1296257
  • Title

    Derivation of the Class of Digital Filters With All Second-Order Modes Equal

  • Author

    Yamaki, Shunsuke ; Abe, Masahide ; Kawamata, Masayuki

  • Author_Institution
    Dept. of Electron. Eng., Tohoku Univ., Sendai, Japan
  • Volume
    59
  • Issue
    11
  • fYear
    2011
  • Firstpage
    5236
  • Lastpage
    5242
  • Abstract
    This paper reveals the class of digital filters with all second-order modes equal. We first prove that if the second-order modes of a digital filter are all equal, the L2-sensitivity minimization problem of the digital filter can be solved analytically. We derive a general expression of the transfer function of digital filters with all second-order modes equal. Furthermore, we show that the general expression is obtained by a frequency transformation on a first-order prototype FIR digital filter.
  • Keywords
    FIR filters; transfer functions; all second-order modes equal; first-order prototype FIR digital filter; frequency transformation; transfer function; Controllability; Eigenvalues and eigenfunctions; Genetic expression; Minimization; Observability; Optimized production technology; Transfer functions; Analytical solutions\´ $L_{2}$-sensitivity minimization; first-order FIR digital filters; frequency transformations; second-order modes; state-space digital filters;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/TSP.2011.2164403
  • Filename
    5982445
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1296257