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Analysis of Pull-in Range Limit by Charge Pump Mismatch in a Linear Phase-Locked Loop

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4 Author(s)
Yoshimura, T. ; Department of Electrical and Electronic Engineering, Osaka Institute of Technology, Asahi-ku, Omiya, Osaka, Japan ; Iwade, S. ; Makino, H. ; Matsuda, Y.

In this paper, we show the relationship between the pull-in range of a linear phase-locked loop (PLL) and the current mismatch of the charge pump that controls the frequency of the oscillator in the PLL. We evaluate the pull-in range of the PLL based on a nonlinear behavioral model of the pull-in process with three types of phase detectors. We introduce the mismatch error to the charge pump current in the PLL and study the impact of this error on the pull-in range. We also apply the mismatch error to a nonlinear differential equation that describes the loop dynamics of the PLL and calculate the pull-in range under this mismatch condition. We validate the limitations of the pull-in range due to the current mismatch by a numerical simulation with MATLAB.

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Circuits and Systems I: Regular Papers, IEEE Transactions on  (Volume:60 ,  Issue: 4 )