期刊
IEEE TRANSACTIONS ON ULTRASONICS FERROELECTRICS AND FREQUENCY CONTROL
卷 66, 期 12, 页码 1950-1961出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TUFFC.2019.2932792
关键词
Resonators; Sensors; Sensitivity; Mathematical model; Oscillators; Steady-state; Injection-locked oscillators; microelectromechanical systems; nonlinear systems; phase noise
This theoretical work investigates the properties of nonlinearly operated weakly coupled resonators (WCRs) for resonant sensing applications. We propose an analysis framework for mutually injection-locked oscillators (MILOs) and mode-localized oscillators (MOLOs), subject to nonlinear restoring and damping forces. Under some simplifying assumptions, three sensor architectures are investigated and compared, highlighting several common features, such as: 1) the insensitivity of the amplitude ratio output metric to the A-f effect and 2) the instability of one oscillation state above a threshold amplitude. These results are illustrated and validated using transient simulations. Their range of validity is then discussed with finite perturbations, finite bandwidth, measurement noise, and nonlinear dissipation-fluctuation.
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