• DocumentCode
    781732
  • Title

    An Analytical Solution of the Fokker-Planck Equation in the Phase-Locked Loop Transient Analysis

  • Author

    Zhang, Weijian

  • Author_Institution
    Univ. of California, Los Angeles, CA, USA
  • Volume
    35
  • Issue
    7
  • fYear
    1987
  • fDate
    7/1/1987 12:00:00 AM
  • Firstpage
    773
  • Lastpage
    775
  • Abstract
    The transient behavior analysis of the phase-locked loop phase error process has resulted in a Fokker-Planck equation for which various numerical techniques have been proposed by many authors. In this paper, an analytical solution of the Fokker-Planck equation is obtained based upon the Girsanov transformation.
  • Keywords
    Fokker-Planck equations; PLLs; Phase-locked loop (PLL); Transient analysis; Communications Society; Diffusion processes; Equations; Frequency synchronization; Gaussian noise; Phase locked loops; Phase noise; Signal processing; Signal to noise ratio; Transient analysis;
  • fLanguage
    English
  • Journal_Title
    Communications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0090-6778
  • Type

    jour

  • DOI
    10.1109/TCOM.1987.1096849
  • Filename
    1096849
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=781732