Efficient AC and noise analysis of two-tone RF circuits
DAC '96 Proceedings of the 33rd annual Design Automation Conference
Computing phase noise eigenfunctions directly from steady-state Jacobian matrices
Proceedings of the 2000 IEEE/ACM international conference on Computer-aided design
Macromodelling oscillators using Krylov-subspace methods
ASP-DAC '06 Proceedings of the 2006 Asia and South Pacific Design Automation Conference
Proceedings of the 2005 Asia and South Pacific Design Automation Conference
Proceedings of the 2006 IEEE/ACM international conference on Computer-aided design
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Behavioral modeling of (coupled) harmonic oscillators
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Efficient VCO phase macromodel generation considering statistical parametric variations
Proceedings of the 2007 IEEE/ACM international conference on Computer-aided design
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The PPV is a robust phase domain macromodel for oscillators. It has been proven to predict oscillators' responses correctly under small signal perturbations, and capture nonlinear phase effects such as injection locking/pulling. In this work, we present a novel approach to extend the PPV macromodel to handle variability in circuit parameters. We derive a modified PPV-based phase equation in which parameter variations are modelled as special inputs. An important feature of our technique is that it avoids PPV re-extraction, this resulting in great convenience and efficiency in its use for, e.g., Monte Carlo type simulations. Using LC and ring oscillators as examples, we demonstrate the capability of the proposed technique for capturing parameter variation effects in injection locking analysis. Simulation results show that our new approach accurately predicts the maximum locking range of oscillators with speedups of two orders of magnitude over direct simulation.