We consider a model for a resonant 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.

BARTUCCELLI M.V, DEANE J.H.B, & GENTILE G (2009). Frequency locking in an injection-locked frequency divider equation. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON. SERIES A, 465, 283-306 [10.1098/rspa.2008.0307].

Frequency locking in an injection-locked frequency divider equation

GENTILE, Guido
2009

Abstract

We consider a model for a resonant 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.
BARTUCCELLI M.V, DEANE J.H.B, & GENTILE G (2009). Frequency locking in an injection-locked frequency divider equation. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON. SERIES A, 465, 283-306 [10.1098/rspa.2008.0307].
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11590/118282
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