Generalized Parameter-Adjusted Stochastic Resonance of Duffing Oscillator and Its Application to Weak-Signal Detection.
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.
School of Mechatronics Engineering, Nanchang University, Nanchang 330031, China. laizh@ncu.edu.cn.|School of Mechanical Engineering, Tianjin University, Tianjin 300072, China. laizh@ncu.edu.cn.
Zhi-Hui
ZH
Lai
School of Mechanical Engineering, Tianjin University, Tianjin 300072, China. leng_yg@tju.edu.cn.
Yong-Gang
YG
Leng
Duffing oscillator; Kramers rate; generalized  parameter-adjustment; stochastic resonance; weak-signal detection