Generalized parameter-adjusted stochastic resonance of duffing oscillator and its application to weak-signal detection

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Abstract

© 2015 by the authors; licensee MDPI, Basel, Switzerland. A two-dimensional Duffing oscillator which can produce stochastic resonance (SR) is studied in this paper. We introduce its SR mechanism and present a generalized parameter-adjusted SR (GPASR) model of this oscillator for the necessity of parameter adjustments. The Kramers rate is chosen as the theoretical basis to establish a judgmental function for judging the occurrence of SR in this model; and to analyze and summarize the parameter-adjusted rules under unmatched signal amplitude, frequency, and/or noise-intensity. Furthermore, we propose the weak-signal detection approach based on this GPASR model. Finally, we employ two practical examples to demonstrate the feasibility of the proposed approach in practical engineering application.

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Lai, Z. H., & Leng, Y. G. (2015). Generalized parameter-adjusted stochastic resonance of duffing oscillator and its application to weak-signal detection. Sensors (Switzerland), 15(9), 21327–21349. https://doi.org/10.3390/s150921327

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