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Phase Noise in Oscillators: a Unifying Theory and Numerical Methods for Characterization (2000)
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| Venue: | IEEE Transactions on Circuits and Systems |
| Citations: | 235 - 27 self |
BibTeX
@ARTICLE{Demir00phasenoise,
author = {Alper Demir and Amit Mehrotra and Jaijeet Roychowdhury},
title = {Phase Noise in Oscillators: a Unifying Theory and Numerical Methods for Characterization},
journal = {IEEE Transactions on Circuits and Systems},
year = {2000},
pages = {655--674}
}
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Abstract
Abstract—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 characterization. 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 characterization of timing jitter and spectral dispersion, for computing which we develop efficient numerical methods. We demonstrate our techniques on a variety of practical electrical oscillators and obtain good matches with measurements, even at frequencies close to the carrier, where previous techniques break down. Our methods are more than three orders of magnitude faster than the brute-force Monte Carlo approach, which is the only previously available technique that can predict phase noise correctly. Index Terms—Circuit simulation, Fokker-Planck equations, nonlinear oscillators, oscillator noise, phase noise, stochastic
Keyphrases
phase noise unifying theory numerical method spectral dispersion nonlinear oscillator abstract phase noise fundamental theory fokker-planck equation precise characterization brute-force monte carlo approach operating mechanism practical electrical oscillator previous technique index term circuit simulation stable nonlinear oscillator novel result efficient numerical method significant gap random perturbation electronic circuit available technique practical interest exact nonlinear equation oscillator noise good match phase error numerical technique solid foundation
