A New Type of Duffing Oscillator for Weak Signal Detection

Abstract

For the sake of weak signal detecting more effectively, this paper introduces a new type of Duffing oscillator system for weak signal detection based on researching the Duffing oscillator. Firstly, the classical Duffing equation is introduced. By comparing, a new type of Duffing equation is introduced too. Because the behavior of the new nonlinear system is very complex, two different ways are used to study, including numerical simulation by solving the differential equation for static research, and mechanical-electrical analog circuit for dynamic research. The effects of initial parameters such as signal amplitude and frequency on the condition evolution of the nonlinear system are analyzed. The results show that the new nonlinear system can more effectively detect the weak amplitude changes of special frequency input signal and suppress strong other frequency signals. Especially, the new method greatly improved detection sensitivity reduced the difficulty of the weak signal detection.