Phase noise in oscillators: a unifying theory and numerical methods for characterization

@article{citeulike:2768913, 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 of which we have developed 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}, author = {Demir, A. and Mehrotra, A. and Roychowdhury, J. }, booktitle = {Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on [see also Circuits and Systems I: Regular Papers, IEEE Transactions on]}, citeulike-article-id = {2768913}, doi = {10.1109/81.847872}, journal = {Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on [see also Circuits and Systems I: Regular Papers, IEEE Transactions on]}, keywords = {clock, noise, oscillator, phase, stability}, number = {5}, pages = {655--674}, posted-at = {2008-05-08 09:01:35}, priority = {2}, title = {Phase noise in oscillators: a unifying theory and numerical methods for characterization}, url = {http://dx.doi.org/10.1109/81.847872}, volume = {47}, year = {2000} }

TY - JOUR ID - citeulike:2768913 L3 - citeulike-article-id:2768913 TI - Phase noise in oscillators: a unifying theory and numerical methods for characterization T2 - Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on [see also Circuits and Systems I: Regular Papers, IEEE Transactions on] JF - Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on [see also Circuits and Systems I: Regular Papers, IEEE Transactions on] VL - 47 IS - 5 SP - 655 EP - 674 N2 - 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 of which we have developed 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 KW - clock KW - noise KW - oscillator KW - phase KW - stability AU - Demir, A AU - Mehrotra, A AU - Roychowdhury, J PY - 2000/// UR - http://dx.doi.org/10.1109/81.847872 ER -