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Sensors 2015, 15(9), 21327-21349; doi:10.3390/s150921327

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

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
Received: 16 July 2015 / Revised: 24 August 2015 / Accepted: 24 August 2015 / Published: 28 August 2015
(This article belongs to the Section Physical Sensors)
View Full-Text   |   Download PDF [963 KB, uploaded 28 August 2015]   |  

Abstract

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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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

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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