- 08-140 Michele V. Bartuccelli, Jonathan H.B. Deane, and Guido Gentile
- Frequency locking in the injection-locked frequency divider equation
Jul 22, 08
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Abstract. We consider a model for the injection-locked frequency divider,
and study analytically the locking onto rational multiples of the
driving frequency. We provide explicit formulae for the width
of the plateaux appearing in the devil's staircase structure of the
lockings, and in particular show that the largest plateaux
correspond to even integer values for the ratio of the frequency
of the driving signal to the frequency of the output signal.
Our results prove the experimental
and numerical results available in the literature.