• DocumentCode
    744969
  • Title

    On Stochastic Phase-Lock Loop Solutions

  • Author

    Taylor, Fred J.

  • Author_Institution
    Univ. of Cincinnati, Cincinnati, OH, USA
  • Volume
    24
  • Issue
    1
  • fYear
    1976
  • fDate
    1/1/1976 12:00:00 AM
  • Firstpage
    138
  • Lastpage
    140
  • Abstract
    The solutions to stochastic first- and second-order phaselock loop differential equations are studied in the sense of the calculus of Itô and Stratonovich. The solutions are found to be both theoretically and experimentally invariant to the calculus used. From numerical experimentation it was also discovered that the covergence properties of Euler´s integration method was superior to that of Runge-Kutta-Gill.
  • Keywords
    Nonlinear differential equations; PLLs; Phase-locked loop (PLL); Stochastic differential equations; Calculus; Communications Society; Differential equations; Nonlinear equations; Phase estimation; Phase modulation; Phase noise; Random processes; Stochastic processes; Stochastic systems;
  • fLanguage
    English
  • Journal_Title
    Communications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0090-6778
  • Type

    jour

  • DOI
    10.1109/TCOM.1976.1093196
  • Filename
    1093196