基于混沌振子的微弱振动信号频变跟随器仿真设计

Simulation Design of Frequency Variation Tracker of Weak Vibration Signals Based on Chaotic Oscillator

在介绍基于Duffing方程的微弱信号混沌检测方法的基础上,分析了外加策动力的幅值r对Duffing方程的敏感性。提出并设计了基于混沌振子的频变信号跟随器,通过MATLAB/Simulink进行了仿真实现。提出通过改变非线性系统的阻尼比k的值,以使Duffing非线性动力学系统进入大周期状态,从而检测具有很小幅值r的频变待测信号的方法。仿真实例的结果表明,所设计的未知频变信号跟随器能够检测具有复杂频率变化特征的微弱信号。该设计对于实际复杂微弱频变信号的检测具有实用价值。

On the basis of introduction to weak signal detection method by Dulling chaotic oscillator,the sensitivity of excitation amplituder to Dulling equation was analyzed. The frequency variation tracker of weak vibration signals was put forward and designed firstly. By the MATLAB/ Simulink,it was simulated. A new method for detecting unknown frequency signals that had very small amplitudes was brought forward. By changing the damping ratio k of nonlinear system, the Dulling dynamics system can be entered into nonlinear larger cycle. The real simulation results show that the frequency variation tracker can detect the frequency variation characteristics of complex weak signals. It is shown that this design has practical value for the detection of frequency variation of real complex weak signals.