| dc.contributor.author | Baker, Robert J. A. | |
| dc.contributor.author | Leung, Bosco | |
| dc.contributor.author | Nielsen, Christopher | |
| dc.date.accessioned | 2021-09-23 13:30:24 (GMT) | |
| dc.date.available | 2021-09-23 13:30:24 (GMT) | |
| dc.date.issued | 2015-08-11 | |
| dc.identifier.uri | https://doi.org/10.1007/s10470-015-0606-z | |
| dc.identifier.uri | http://hdl.handle.net/10012/17492 | |
| dc.description | This is a post-peer-review, pre-copyedit version of an article published in Analog Integrated Circuits and Signal Processing. The final authenticated version is available online at: http://dx.doi.org/https://doi.org/10.1007/s10470-015-0606-z | en |
| dc.description.abstract | In this paper we study the stability of a phase-locked loop (PLL) in the
presence of noise. We represent the noise as Brownian motion and model the circuit
as a nonlinear stochastic differential equation, with the noise lumped at the phase
detector input. We show that for the PLL, the theory of asymptotics of singular
diffusions can be applied and we use this theory to develop a new figure of merit
which we call a stability margin. The stability margin provides easily computable
bounds on the acceptable noise levels for which stability is guaranteed. Through
simulation, we show that such a sufficient bound provides a realistic prediction for
PLL stability | en |
| dc.language.iso | en | en |
| dc.publisher | Springer | en |
| dc.relation.ispartofseries | Analog Integrated Circuits and Signal Processing; | |
| dc.subject | phase-locked loops | en |
| dc.subject | stability | en |
| dc.subject | noise | en |
| dc.subject | stochastic differential equations | en |
| dc.title | Phase-Locked Loop Stability Based on Stochastic Bounds | en |
| dc.type | Article | en |
| dcterms.bibliographicCitation | Baker, R. J. A., Leung, B., & Nielsen, C. (2015). Phase-locked loop stability based on stochastic bounds. Analog Integrated Circuits and Signal Processing, 85(2), 323–333. https://doi.org/10.1007/s10470-015-0606-z | en |
| uws.contributor.affiliation1 | Faculty of Engineering | en |
| uws.contributor.affiliation2 | Electrical and Computer Engineering | en |
| uws.typeOfResource | Text | en |
| uws.peerReviewStatus | Reviewed | en |
| uws.scholarLevel | Faculty | en |
