Periodic motions
Tools and methodology for RF IC design
DAC '98 Proceedings of the 35th annual Design Automation Conference
Phase noise in oscillators: DAEs and colored noise sources
Proceedings of the 1998 IEEE/ACM international conference on Computer-aided design
Noise analysis of non-autonomous radio frequency circuits
ICCAD '99 Proceedings of the 1999 IEEE/ACM international conference on Computer-aided design
A new approach for computation of timing jitter in phase locked loops
DATE '00 Proceedings of the conference on Design, automation and test in Europe
Noise analysis of phase-locked loops
Proceedings of the 2000 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
CAD solutions and outstanding challenges for mixed-signal and RFIC design
Proceedings of the 2001 IEEE/ACM international conference on Computer-aided design
Noise in Radio Frequency Circuits: Analysis and Design Implications
ISQED '01 Proceedings of the 2nd International Symposium on Quality Electronic Design
Analysis of MOS cross-coupled LC-tank oscillators using short-channel device equations
Proceedings of the 2004 Asia and South Pacific Design Automation Conference
Approximation Approach for Timing Jitter Characterization in Circuit Simulators
DATE '03 Proceedings of the conference on Design, Automation and Test in Europe - Volume 1
Characterizing the VCO jitter due to the digital simultaneous switching noise
GLSVLSI '05 Proceedings of the 15th ACM Great Lakes symposium on VLSI
Operator-based model-order reduction of linear periodically time-varying systems
Proceedings of the 42nd annual Design Automation Conference
Bibliography on cyclostationarity
Signal Processing
Proceedings of the 2008 Asia and South Pacific Design Automation Conference
Noise analysis of phase locked loops
TELE-INFO'06 Proceedings of the 5th WSEAS international conference on Telecommunications and informatics
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Phase noise is a topic of theoretical and practical interest in electronic circuits, as well as in other fields such as optics. Although progress has been made in understanding the phenomenon, there still remain significant gaps, both in its fundamental theory and in numerical techniques for its characterisation. In this paper, we develop a solid foundation for phase noise that is valid for any oscillator, regardless of operating mechanism. We establish novel results about the dynamics of stable nonlinear oscillators in the presence of perturbations, both deterministic and random. We obtain an exact, nonlinear equation for phase error, which we solve without approximations for random perturbations. This leads us to a precise characterisation of timing jitter and spectral dispersion, for computing which we develop efficient numerical methods. We demonstrate our techniques on practical electrical oscillators, and obtain good matches with measurements even at frequencies close to the carrier, where previous techniques break down.