• DocumentCode
    3023848
  • Title

    Transfer functions of second-order digital filters with two equal second-order modes

  • Author

    Yamaki, Shunsuke ; Abe, Masahide ; Kawamata, Masayuki

  • Author_Institution
    Dept. of Electron. Eng., Tohoku Univ., Sendai, Japan
  • fYear
    2012
  • fDate
    20-23 May 2012
  • Firstpage
    3178
  • Lastpage
    3181
  • Abstract
    This paper clarifies the class of second-order digital filters with two second-order modes equal. We consider three cases for second-order digital filters: complex conjugate poles, distinct real poles, and multiple real poles. We derive a general expression of the transfer function of second-order digital filters with two 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; FIR digital filter; complex conjugate poles; distinct real poles; multiple real poles; second-order digital filters; second-order modes; transfer functions; Controllability; Finite impulse response filter; Genetic expression; Minimization; Prototypes; Transfer functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits and Systems (ISCAS), 2012 IEEE International Symposium on
  • Conference_Location
    Seoul
  • ISSN
    0271-4302
  • Print_ISBN
    978-1-4673-0218-0
  • Type

    conf

  • DOI
    10.1109/ISCAS.2012.6271998
  • Filename
    6271998