谐波信号频率的混沌检测方法

The Chaotic Detecting Method for the Frequency of Harmonic Signal

该文针对实际中大量存在的未知谐波信号频率,提出用非线性混沌动力学系统检测的方法;先从非线性方程理论出发论证系统存在周期解;然后建立仿真模型,用定向过零技术计算谐波频率;经过对计算结果绝对误差与相对误差的分析,得出该项技术是可行的。同时提出在检测频率后,进一步检测谐波幅值的可能性。

As for a large number of unknown frequencies of harmonic signals existing in the practice, the paper presents the detecting method utilizing the nonlinear chaotic dynamic system. Firstly, the method verifies being the periodic solution originated from the nonlinear equation theory, then founds the simulating model to calculate harmonic frequency using directional crossover technique. The technique is feasible through analyzing the absolute error and relative error of calculating results. At the same time, the paper brings forward the possibility to further detecting harmonic amplitude after detecting frequency.