Phase noise in oscillators: DAEs and colored noise sources
Proceedings of the 1998 IEEE/ACM international conference on Computer-aided design
Computing phase noise eigenfunctions directly from steady-state Jacobian matrices
Proceedings of the 2000 IEEE/ACM international conference on Computer-aided design
Piecewise polynomial nonlinear model reduction
Proceedings of the 40th annual Design Automation Conference
Proceedings of the 2005 Asia and South Pacific Design Automation Conference
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Proceedings of the 44th annual Design Automation Conference
Efficient VCO phase macromodel generation considering statistical parametric variations
Proceedings of the 2007 IEEE/ACM international conference on Computer-aided design
Proceedings of the 2008 Asia and South Pacific Design Automation Conference
Frequency-aware PPV: a robust phase macromodel for accurate oscillator noise analysis
Proceedings of the 2008 IEEE/ACM International Conference on Computer-Aided Design
Fast statistical analysis of process variation effects using accurate PLL behavioral models
IEEE Transactions on Circuits and Systems Part I: Regular Papers
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We present a novel method for generating small, accurate PLL macromodels that capture transient response and jitter performance with unprecedented accuracy, while offering large speedups. The method extracts and uses a highly accurate oscillator phase macromodel termed the TP-PPV macromodel. The core idea behind the novel extraction procedure is to combine concepts from strongly nonlinear trajectory piecewise macromodeling techniques together with PPV-based timeshifted nonlinear phase macromodels. As a result, TP-PPV generated macromodels offer excellent global as well as local fidelity. These properties are necessary for handing large excursions in PLL control voltages during capture/lock in, e.g., hopping frequency synthesizers. We validate TP-PPV on a 5-stage interpolative ring VCO based PLL and compare results against full simulation, as well as against prior macromodels. We show that, unlike prior macromodels that only work well when the control voltage of the VCO has small excursions, the TP-PPV macromodel provides near-perfect matches against full SPICElevel simulation over a wide range of design scenarios, while achieving speedups of about three orders of magnitude.