高阶混沌振子的微弱信号频率检测新方法

New method of weak signal frequency detection using high-level Chaotic oscillator

摘要:

采用高阶Rossler混沌振子及比例微分控制方法相结合,将含有待检信号的Rossler混沌振子从混沌态控制到周期态,然后利用谱分析的方法检测待检信号的频率.该方法突破了以往Duffing方程检测信号频率需要使用较多振子的局限,利用比例微分控制理论将Rossler系统控制到稳定的周期态,从而提取待检信号的频率,较大提高了检测精度和检测稳定性.通过数值仿真,验证了该方法的有效性.

Abstract:

In this paper,high-level Rossler chaotic oscillator and proportional differential control are used together to detect the frequency of weak signal.Rossler system is controlled to critical state from periodic state to chaotic state.Then the unknown signal is put into the Rossler system.Proportional differential control is used to regulate the system to periodic state and the method of spectrum analysis is employed to detect the frequency the unknown signal.The presented method exhibits higher detection precision and is simpler than Duffing equation which needs many chaotic oscillators.Numerical simulation verifies that the presented method is feasible.