• DocumentCode
    1168221
  • Title

    Optimum RC phase-shift network between two arbitrary impedances

  • Author

    Pang, Khee K.

  • Volume
    18
  • Issue
    2
  • fYear
    1971
  • fDate
    3/1/1971 12:00:00 AM
  • Firstpage
    255
  • Lastpage
    259
  • Abstract
    The following problem is investigated. Given two terminating impedances Z_{1} and Z_{2} , design an RC ladder network of n sections such that the terminated transfer voltage ratio |V_{2}/V_{1}(j \\omega _{0})| is maximized at a given phase shift (\\angle V_{2}/V_{1}(j \\omega _{0})=\\phi_{0}) . This problem is solved explicitly. It was found that the optimum RC phase-shift network is a geometrical progression network-properly terminated at both ends. In the distributed case ( n approaches infinity), the optimum RC network is an exponentially tapered line, terminated by four lumped impedances.
  • Keywords
    Distributed linear networks; Distributed networks; Distributed networks, linear; Phase-shift networks; RC networks; Bandwidth; Circuit theory; Equations; H infinity control; Impedance; Oscillators; Valves; Voltage;
  • fLanguage
    English
  • Journal_Title
    Circuit Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9324
  • Type

    jour

  • DOI
    10.1109/TCT.1971.1083250
  • Filename
    1083250