Stochastic Resonance Phenomenon of Two-coupled Duffing Oscillator and its Application on Weak Signal Detection

Abstract

By taking two-coupled duffing oscillator system as the research object, the study found under the synergistic effect of weak periodic signal and noise, the two-coupled duffing oscillator system has typical stochastic resonance and even could achieve better output of stochastic resonance than single duffing oscillator. Based on this phenomenon, this paper proposes a new method to detect the weak periodic signal through the stochastic resonance of two-coupled duffing oscillator. The experimental study indicates that we could achieve excellent detection effect by using the method we mentioned in this paper at low SNR (signal-to-noise ratios), especially, it has excellent filter effect for filtering and shaping of weak square signals and has potential values in the application of digital communications.

Keywords

• Two-coupled duffing oscillator
• Stochastic resonance
• Weak signal detection.