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2012 | OriginalPaper | Chapter
Mutual Injection Locking of Oscillators under Parasitic Couplings
Authors : M. M. Gourary, S. G. Rusakov, S. L. Ulyanov, M. M. Zharov
Published in: Scientific Computing in Electrical Engineering SCEE 2010
Publisher: Springer Berlin Heidelberg
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The method to analyze the mutual injection locking of weakly coupled arbitrary oscillators is proposed. The couplings are defined by frequency-dependent admittance matrices. The algebraic system with respect to phases and common locking frequency is derived. For two oscillators the system is transformed to the single phase equation and explicit expression for the locking frequency. The accuracy comparison with SPICE simulation is presented.