International Journal of Circuit Theory and Applications · 2004 · 45 citations · 10 references
EngineeringElectrical EngineeringDifferential EquationsMicroelectronicsSemiconductor DevicesCmos Circuit DesignDevice ModelingDevice SimulationNonlinear Circuit AnalysisOscillatorsSecond-order CircuitsCircuit SimulationMetal-oxide-semiconductor Field-effect Transistor Small-signal ModelsNonlinear OscillatorsOscillator AnalysisOscillator ModelingOscillator NonlinearityOscillator TheoryTransistor Nonlinearity
Abstract We present a systematic non‐linear analysis of differential voltage controlled oscillators (VCOs), both bipolar and MOS. Using the standard device models, we derive the second‐order non‐linear equation describing the behaviour of these oscillators, which is formulated in a perturbation form. The solution of this equation is obtained as a particular case of the solution of the most general equation of second‐order oscillators, which is solved through a suitable perturbation method. Unlike a pure numerical analysis, simple analytical relationships are derived for predicting the steady‐state oscillation, its transient behaviour and for ascertaining the existence of a stable oscillation in differential VCOs. These relationships, leading to results which well agree with the SPICE simulations, are useful in both analysis and design. Copyright © 2004 John Wiley & Sons, Ltd.
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