基于Duffing振子和ML的微弱信号幅值估计新方法

基于Du ffing振子和最大似然参量估计方法,提出一种微弱正弦信号幅值估计的新方法。介绍了新方法的原理和具体实现过程。将混有噪声的待测信号送入Du ffing系统,依据大周期工作状态下Du ffing系统具有优良的信噪比改善特性,采用最大似然法估计Du ffing系统的输出信号幅值,进一步由系统输入输出之间的关系确定输入的微弱正弦信号的幅值。通过仿真实验,对该方法和最大似然法直接用于微弱正弦信号幅值估计的结果进行了对比。实验结果表明:该方法明显提高了估计精度。

A Novel Amplitude Estimation Method of Weak Signal Based on Duffing Oscillator and ML

Based on Duffing chaotic oscillator and maximum likelihood(ML) algorithm,a novel method(called Duffing) to estimate the amplitude of a weak sine signal is proposed.Its principle and realization procedure are introduced.The signal embedded in noises is sent into the Duffing oscillator system in great period motion state so that the signal-to-noise-ratio(SNR) is improved greatly.The ML method is applied to estimate the amplitude of the output signal,and the amplitude of the input signal can be obtained according to the relation between the output amplitude and the driven force.With the aid of simulations,the performance of the method is compared to that of the traditional ML amplitude estimation method applied to signal in noise directly.Simulation results show that the method presented has a far better estimation precision.