IEEE Transactions on Circuits and Systems Part I: Regular Papers
On the theory of quadrature oscillations obtained through parallel LC VCOs
IEEE Transactions on Circuits and Systems Part I: Regular Papers - Special section on 2009 IEEE custom integrated circuits conference
Envelope analysis of nonlinear electronic circuits based on harmonic balance method
International Journal of Circuit Theory and Applications
Modeling, analysis, and experimental validation of frequency dividers with direct injection
Journal of Electrical and Computer Engineering
Investigation on locking and pulling modes in analog frequency dividers
Journal of Electrical and Computer Engineering
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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.