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NONLINEAR STABILITY ANALYSIS OF MICROWAVE OSCILLATORS USING THE PERIODIC AVERAGING METHOD
Author(s) -
H. Vahdati,
Abdolali Abdipour
Publication year - 2007
Publication title -
electromagnetic waves
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.437
H-Index - 89
eISSN - 1559-8985
pISSN - 1070-4698
DOI - 10.2528/pier07100101
Subject(s) - microwave , nonlinear system , stability (learning theory) , method of averaging , mathematics , physics , mathematical analysis , control theory (sociology) , computer science , quantum mechanics , control (management) , machine learning , artificial intelligence
In this paper an approach for stability analysis of microwave oscillators is proposed. Using the perturbation theory and averaging method, a theorem which relates the oscillation stability to the stability of the periodic average of the circuit's Jacobian is mentioned. Using this theorem, a criterion for oscillation stability is devised. The proposed criterion is applied to the stability analysis of a negative resistance diode oscillators and a Colpitts oscillator. This method is readily applicable to microwave CAD routines.

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