Title
Phase jitter dynamics of first-order digital phase-locked loops with frequency-modulated input
Abstract
Inherent to digital phase-locked loops is frequency quantization in the number-controlled oscillator which prevents the loop from locking exactly onto its reference signal and introduces unwanted phase jitter. This paper investigates the effect of frequency quantization in a first-order loop with a frequency-modulated input signal. Using tools of nonlinear dynamics, we show that, depending on the modulation amplitude, trajectories in the phase space eventually fall into either an invariant region or a trapping region, the boundaries of which give useful bounds on the steady-state phase jitter excursion. We also derive a sufficient condition for the maximum modulation amplitude to prevent loop cycle slipping.
Year
DOI
Venue
2008
10.1109/ISCAS.2008.4541725
Seattle, WA
Keywords
Field
DocType
digital phase locked loops,frequency modulation,jitter,phase locked oscillators,first-order digital phase-locked loops,frequency quantization,frequency-modulated input signal,loop cycle slipping,number-controlled oscillator,steady-state phase jitter excursion
Phase-locked loop,Computer science,Control theory,Phase space,Voltage-controlled oscillator,Electronic engineering,Modulation,Frequency modulation,Jitter,Quantization (signal processing),Amplitude
Conference
ISSN
ISBN
Citations 
0271-4302
978-1-4244-1684-4
1
PageRank 
References 
Authors
0.41
4
3
Name
Order
Citations
PageRank
Stefan Tertinek1796.74
Alexey Teplinsky2283.69
Orla Feely39025.65