DocumentCode :
744969
Title :
On Stochastic Phase-Lock Loop Solutions
Author :
Taylor, Fred J.
Author_Institution :
Univ. of Cincinnati, Cincinnati, OH, USA
Volume :
24
Issue :
1
fYear :
1976
fDate :
1/1/1976 12:00:00 AM
Firstpage :
138
Lastpage :
140
Abstract :
The solutions to stochastic first- and second-order phaselock loop differential equations are studied in the sense of the calculus of Itô and Stratonovich. The solutions are found to be both theoretically and experimentally invariant to the calculus used. From numerical experimentation it was also discovered that the covergence properties of Euler´s integration method was superior to that of Runge-Kutta-Gill.
Keywords :
Nonlinear differential equations; PLLs; Phase-locked loop (PLL); Stochastic differential equations; Calculus; Communications Society; Differential equations; Nonlinear equations; Phase estimation; Phase modulation; Phase noise; Random processes; Stochastic processes; Stochastic systems;
fLanguage :
English
Journal_Title :
Communications, IEEE Transactions on
Publisher :
ieee
ISSN :
0090-6778
Type :
jour
DOI :
10.1109/TCOM.1976.1093196
Filename :
1093196
Link To Document :
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