6533b82efe1ef96bd12944da
RESEARCH PRODUCT
Approach to the analysis of nonlinear feedback oscillators under large-signal injection
E.f. CalandraA.m. Sommarivasubject
Injection lockingNonlinear systemDifferential equationControl theoryGeneral EngineeringNonlinear elementTransient responseTransient (oscillation)LC circuitNetwork analysisMathematicsdescription
A method for the analysis of driven oscillators under high-level injection is presented. It applies to single-loop feedback systems with a memoryless nonlinear element and a second-order (high-Q) tank circuit. The analysis technique employed combines the classical block-diagram approach with an improved firstharmonic dynamic modelling to provide a couple of differential equations capable of accounting for the amplitude-dependence effects arising under large-signal operation. On this basis, first-and second-order approximate expressions are also derived, which allow a better understanding of the validity limits of previous theories on this subject. As an example of application, both the steady-state and transient behaviour of synchronised hyperbolic-nonlinearity oscillators is investigated.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1986-01-01 | IEE Proceedings G (Electronic Circuits and Systems) |