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

Author

Yoshimura, Tetsuzo ; Iwade, Shuhei ; Makino, Hiroaki ; Matsuda, Yuuki

Author_Institution

Department of Electrical and Electronic Engineering, Osaka Institute of Technology, Asahi-ku, Omiya, Osaka, Japan

Volume

60

Issue

4

fYear

2013

fDate

Apr-13

Firstpage

896

Lastpage

907

Abstract

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.

Keywords

Clocks; Detectors; Frequency control; Frequency locked loops; Mathematical model; Phase locked loops; Voltage-controlled oscillators; Clock and data recovery PLL (CDR-PLL); dual loop; lock-in range; nonlinear differential equation; pull-in range;

fLanguage

English

Journal_Title

Circuits and Systems I: Regular Papers, IEEE Transactions on

Publisher

ieee

ISSN

1549-8328

Type

jour

DOI

10.1109/TCSI.2012.2215393

Filename

6298056