DocumentCode :
1239191
Title :
Discrete Time Analyses of Nonuniform Sampling First- and Second-Order Digital Phase Lock Loops
Author :
Weinberg, Aaron ; Liu, Bede
Author_Institution :
Princeton Univ., Princeton, NJ, USA
Volume :
22
Issue :
2
fYear :
1974
fDate :
2/1/1974 12:00:00 AM
Firstpage :
123
Lastpage :
137
Abstract :
The present paper considers discrete time analyses of firstand second-order digital phase lock loops. These loops are characterized by the fact that they track the zero crossings of the incoming signal; consequently, the sampling intervals are nonuniform. The firstorder loop is analyzed for phase step and frequency step inputs; mean time to skip cycle is also considered. For phase step input, approximate expressions are obtained for the steady-state phase error probability density and phase error variance, the second of which leads directly to a theoretical prediction of threshold. The second-order loop is analyzed for frequency step input. Approximate expressions for the steady-state phase error probability density, phase error variance, and a theoretical prediction of threshold are obtained. The analyses are confirmed by numerical results and simulation.
Keywords :
Digital phase locked loops; Analytical models; Error probability; Frequency; Nonuniform sampling; Numerical simulation; Phase noise; Quantization; Sampling methods; Steady-state; Tracking loops;
fLanguage :
English
Journal_Title :
Communications, IEEE Transactions on
Publisher :
ieee
ISSN :
0090-6778
Type :
jour
DOI :
10.1109/TCOM.1974.1092168
Filename :
1092168
Link To Document :
بازگشت