Acquisition Performance of a Digital Phase Locked Loop with a Four-Quadrant Arctan Phase Detector

Abstract

The acquisition performance of a digital phase locked loop (DPLL) with a four-quadrant arctan based phase detector (PD) is discussed in this paper. In the noiseless case, unlike the traditional sine function based phase locked loops, the acquisition process of the four-quadrant arctan based phase locked loops is less tedious. We will look into the pull-in process together with a time-series analysis of the DPLL for the noiseless case. The phaseplane portrait of loop is also discussed, for both the noiseless and the noisy conditions.