GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
SIAM Journal on Scientific and Statistical Computing
Phase noise in oscillators: DAEs and colored noise sources
Proceedings of the 1998 IEEE/ACM international conference on Computer-aided design
Oscillator-AC: restoring rigour to linearized small-signal analysis of oscillators
ICCAD '05 Proceedings of the 2005 IEEE/ACM International conference on Computer-aided design
Proceedings of the 43rd annual 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
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Perturbation Projection Vector (PPV) is an established technique for oscillator phase noise analysis; However, the PPV method significantly loses accuracy when circuits have large time constants, resulting in over-estimation of oscillator phase noise. In this paper, we show the problem of the PPV phase equation that it ignores the dynamics of oscillator frequency responses, and propose an improved PPV technique: Frequency-Aware PPV (FW-PPV). Using the FW-PPV technique, we derive analytical phase noise equations, which work accurately for all oscillators, especially for oscillators with large time constants. We apply the proposed technique on real oscillator circuits, and compare the results to Cadence Spectre RF. Simulation results show that our method has better accuracy than previous approaches.