in this work, time domain analysis is used to solve adler’s equation in order to obtain the required time, for an oscillator under external injection, reaching the steady-state condition. mathematical approach has been applied to fully describe the transient of frequency acquisition in injection-locked lc and ring oscillators considering their time-varying nature. then, the analysis is verified...

Article history: Received 3 December 2013 Received in revised form 14 January 2014 Accepted 14 January 2014 Available online 6 February 2014

 In this work, time domain analysis is used to solve Adler’s equation in order to obtain the required time, for an oscillator under external injection, reaching the steady-state condition. Mathematical approach has been applied to fully describe the transient of frequency acquisition in injection-locked LC and Ring oscillators considering their time-varying nature. Then, the analysis is verifie...

Injection locking characteristics of oscillators are reviewed both theoretically and experimentally. Theoretical results coupled with experimental findings are presented. A simple method of deriving the equation for locking range is reported.