Tertinek, StefanStefanTertinekTeplinsky, AlexeyAlexeyTeplinskyFeely, OrlaOrlaFeely2012-05-012012-05-012007-12http://hdl.handle.net/10197/3590Presented at the International Workshop on Nonlinear Maps and their Applications (NOMA '07), INSA, Toulouse, December 13-14, 2007Frequency granularity in a digital phase-locked loop arises from quantization in the number-controlled oscillator which prevents the loop from locking exactly onto its reference signal and introduces unwanted phase jitter. Based on a nonlinear analysis of trajectories in the phase space, we have recently investigated the effect of frequency quantization in a first-order loop with a frequency-modulated input signal and have derived useful bounds on the steady-state phase jitter excursion. In this paper, we continue that work and derive the maximum modulation amplitude such that loop cycle slipping is avoided. We also examine in detail the loop behavior in acquiring phase-lock.299573 bytesapplication/pdfen2007 the authorsPhase-locked loopsQuantizationPhase jitterPhase-locked loopsFrequencies of oscillating systemsConference Publicationhttps://creativecommons.org/licenses/by-nc-sa/1.0/