基于特定混沌系统微弱谐波信号频率检测的理论分析与仿真

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为更完整地研究一类特定的Duffing Holmes方程所建立的混沌系统用于确定微弱谐波未知频率 ,论证了方程存在周期解并且该解唯一 ;利用稳定相态周期轨迹特征成功地进行了确定谐波频率的仿真实验 ;从 1Hz至 2 0 0Hz变阻尼比 (α)计算了检测误差 |Δω|;结果表明 ,不同频率带宽、不同频率相应的α值选择需要经过细致仿真实验去加以确定 . In order to study more exactly the chaotic system established by a particular Duffing Holmes equation for determining the unknown frequency of weak harmonics, the existence of periodic solutions for the equations is proved and the solution is unique. The periodic harmonic characteristics The experimental results show that the corresponding α values ​​for different frequency bandwidths and frequencies need to be determined through careful simulation.
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