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Open AccessArticle

Generalized Parameter-Adjusted Stochastic Resonance of Duffing Oscillator and Its Application to Weak-Signal Detection

by Zhi-Hui Lai 1,2,* and Yong-Gang Leng 2
1
School of Mechatronics Engineering, Nanchang University, Nanchang 330031, China
2
School of Mechanical Engineering, Tianjin University, Tianjin 300072, China
*
Author to whom correspondence should be addressed.
Academic Editor: Vittorio M. N. Passaro
Sensors 2015, 15(9), 21327-21349; https://doi.org/10.3390/s150921327
Received: 16 July 2015 / Revised: 24 August 2015 / Accepted: 24 August 2015 / Published: 28 August 2015
(This article belongs to the Section Physical Sensors)
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. View Full-Text
Keywords: Duffing oscillator; stochastic resonance; Kramers rate; generalized parameter-adjustment; weak-signal detection Duffing oscillator; stochastic resonance; Kramers rate; generalized parameter-adjustment; weak-signal detection
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Lai, Z.-H.; Leng, Y.-G. Generalized Parameter-Adjusted Stochastic Resonance of Duffing Oscillator and Its Application to Weak-Signal Detection. Sensors 2015, 15, 21327-21349.

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