• DocumentCode
    2926259
  • Title

    Gen-Adler: The generalized Adler´s equation for injection locking analysis in oscillators

  • Author

    Bhansali, Prateek ; Roychowdhury, Jaijeet

  • Author_Institution
    ECE Dept., Univ. of Minnesota, Minneapolis, MN
  • fYear
    2009
  • fDate
    19-22 Jan. 2009
  • Firstpage
    522
  • Lastpage
    527
  • Abstract
    Injection locking analysis based on classical Adler´s equation is limited to LC oscillators as it is dependent on quality factor. In this paper, we present the generalized Adler´s equation applicable for injection locking analysis on oscillators independent of the circuit topology. The equation is obtained by averaging the PPV phase macromodel. The procedure is considerably simple and handy to determine the locking range for arbitrary shape small AC injection signal. Analytical equations for injection locking dynamics are formulated using the generalized Adler´s equation and validated with the PPV simulations.
  • Keywords
    injection locked oscillators; perturbation theory; LC oscillators; PPV phase macromodel; circuit topology; generalized Adler´s equation; injection locking analysis; Analytical models; Circuit simulation; Circuit topology; Differential equations; Frequency; Inductors; Injection-locked oscillators; Nonlinear equations; Q factor; Ring oscillators;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Design Automation Conference, 2009. ASP-DAC 2009. Asia and South Pacific
  • Conference_Location
    Yokohama
  • Print_ISBN
    978-1-4244-2748-2
  • Electronic_ISBN
    978-1-4244-2749-9
  • Type

    conf

  • DOI
    10.1109/ASPDAC.2009.4796533
  • Filename
    4796533