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