• DocumentCode
    761339
  • Title

    Determination of phase-locked loop statistics with the aid of RLC ladder networks

  • Author

    El-Masry, E.I. ; Martens, G.O.

  • Author_Institution
    Univ. of Illinois, IL, USA
  • Volume
    29
  • Issue
    1
  • fYear
    1981
  • fDate
    1/1/1981 12:00:00 AM
  • Firstpage
    73
  • Lastpage
    79
  • Abstract
    Transient behavior of the first-order phase-locked loop (PLL) in the presence of noise is investigated. A Fourier series with time varying coefficients is used to represent the modulo-2π phase error probability density function (pdf) in order to solve the Fokker-Planck equation. Solutions for the Fourier coefficients are obtained via simulating RLC ladder networks with special element values. Results are shown for cases involving various signal-to-noise (SNR) ratios and initial conditions.
  • Keywords
    Ladder networks; Network transient analysis; PLLs; Phase-locked loop (PLL); RLC networks; Error probability; Fourier series; Frequency; Phase locked loops; Phase noise; Probability density function; Signal to noise ratio; Statistics; Voltage-controlled oscillators;
  • fLanguage
    English
  • Journal_Title
    Communications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0090-6778
  • Type

    jour

  • DOI
    10.1109/TCOM.1981.1094861
  • Filename
    1094861
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=761339