DocumentCode :
760481
Title :
Short Term Frequency Instability Effects in Networks of Coupled Oscillators
Author :
Braun, Walter R.
Author_Institution :
LinCom Corp., Pasadena, CA
Volume :
28
Issue :
8
fYear :
1980
fDate :
8/1/1980 12:00:00 AM
Firstpage :
1269
Lastpage :
1275
Abstract :
A set of N identical oscillators (clocks) are connected to form a mutually synchronous network. General matrix expressions are derived for the phase error spectrum at each oscillator when the network operates in the linear regime. For certain topologies of practical interest the phase error variance and the correlation between the errors at different oscillators is computed and compared in their behavior for large N . The results presented assume no thermal noise and no delay between the oscillators. However, the theory can be easily extended to include these two effects.
Keywords :
Oscillator stability; Synchronization; Equations; Frequency synchronization; Mutual coupling; Network topology; Oscillators; Phase locked loops; Phase noise; Phased arrays; Stability; Transfer functions;
fLanguage :
English
Journal_Title :
Communications, IEEE Transactions on
Publisher :
ieee
ISSN :
0090-6778
Type :
jour
DOI :
10.1109/TCOM.1980.1094777
Filename :
1094777
Link To Document :
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