Analysis of charge-pump phase-locked loops

@article{Hanumolu2004AnalysisOC,
  title={Analysis of charge-pump phase-locked loops},
  author={Pavan Kumar Hanumolu and Merrick Brownlee and Kartikeya Mayaram and Un-Ku Moon},
  journal={IEEE Transactions on Circuits and Systems I: Regular Papers},
  year={2004},
  volume={51},
  pages={1665-1674}
}
In this paper, we present an exact analysis for third-order charge-pump phase-locked loops using state equations. Both the large-signal lock acquisition process and the small-signal linear tracking behavior are described using this analysis. The nonlinear state equations are linearized for the small-signal condition and the z-domain noise transfer functions are derived. A comparison to some of the existing analysis methods such as the impulse-invariant transformation and s-domain analysis is… CONTINUE READING
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