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

Sensors

Zhi-Hui Lai¹  Yong-Gang Leng² 

[1] School of Mechatronics Engineering, Nanchang University, Nanchang 330031, China;School of Mechanical Engineering, Tianjin University, Tianjin 300072, China; E-Mail:

关键词: Duffing oscillator;    stochastic resonance;    Kramers rate;    generalized parameter-adjustment;    weak-signal detection;   

DOI  :  10.3390/s150921327

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland.