• DocumentCode
    417972
  • Title

    Active RC networks: what benefit is there in having conjugate real zeros in the second-order transfer function?

  • Author

    Goepel, Ernst

  • Author_Institution
    Siemens Building Technol., Munich, Germany
  • Volume
    1
  • fYear
    2004
  • fDate
    23-26 May 2004
  • Abstract
    The characteristics of a so-called real conjugate zero pair in the biquadratic transfer function are investigated and a new active RC network is provided to implement it. Different magnitude responses are obtained where the zero pair is varied while maintaining an invariant phase response. By this feature, the network can be seen as the counterpart to a phase shifter. With the aid of a simple additional circuit, the arithmetic transformation of a real conjugate zero pair into an imaginary conjugate, or into a double zero pair at the origin, is also demonstrated. This part of the network consists of operational amplifiers and resistors, each of equal value, which can be advantageously integrated. The result is an easy-to-design second-order filter section for multi-functional use.
  • Keywords
    RC circuits; active networks; frequency response; operational amplifiers; resistors; transfer functions; zero assignment; active RC networks; arithmetic transformation; biquadratic transfer function; conjugate real zeros; imaginary conjugate; magnitude responses; operational amplifiers; phase response; resistors; second-order filter; second-order transfer function; zero pair; Arithmetic; Circuits; Filters; Frequency; Intelligent networks; Operational amplifiers; Phase shifters; Poles and zeros; Resistors; Transfer functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits and Systems, 2004. ISCAS '04. Proceedings of the 2004 International Symposium on
  • Print_ISBN
    0-7803-8251-X
  • Type

    conf

  • DOI
    10.1109/ISCAS.2004.1328182
  • Filename
    1328182