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微弱谐波信号的灵敏检测具有重要的实际应用意义,本文利用受控Chen系统来实现强噪声背景下的这种检测.因动力系统可分解为慢变系统与快变系统的叠加,这里用平均法对检测系统进行处理得到慢变系统,并获取使系统由周期轨道突变为稳定平衡点的检测参数临界值.通过调节检测参数,观测系统状态变量的变化可判断待测信号是否存在.仿真结果表明,此方法可以准确检测出强噪声背景下的微弱谐波信号.与目前其他基于混沌振子的检测方法相比,该方案对噪声具有更强的免疫性,而且可通过理论分析得出检测参数阈值的准确范围,有利于在相关领域推广应用.
Sensitive detection of weak harmonic signals has important practical significance, this paper uses the controlled Chen system to achieve this detection in the context of strong noise. Because the dynamic system can be decomposed into the superposition of the slow-varying system and the fast-changing system, the average Method is used to process the detection system to obtain a slowly varying system and to obtain the critical value of the detection parameter which causes the system to change from periodic orbit to a stable equilibrium point.It can be judged whether the signal under test exists by adjusting the detection parameters and observing the changes of the system state variables. It is shown that this method can accurately detect the weak harmonic signals under the background of strong noise.Compared with other detection methods based on chaotic oscillators, this method is more immune to noise and can be obtained through theoretical analysis of the detection parameters The accurate range of the threshold is conducive to the promotion and application in related fields.