levy噪声背景下级联系统中弱信号的提取

Extraction of weak signal in cascaded system under levy noise

摘要:

针对冲击噪声背景下弱周期信号难以提取的问题，提出了以levy噪声作为背景噪声的级联随机共振方法。首先，在数值上分析了随机共振系统最佳参数区间与levy噪声参数的关系；其次，总结了系统输出的微弱信号频谱值跟随系统参数的变化规律；最后，利用级联系统对levy噪声背景下微弱信号的提取进行了研究。实验结果表明，随机共振参数的最佳区间不随噪声参数 α、β 的变化而变化；系统输出信号的频谱幅值会随噪声参数 α、β 的改变而改变，但浮动不大；在级联系统中，二级系统输出的待检测信号频谱值是一级系统的1.4倍。该系统对冲击环境中弱信号的提取具有很强的实用性。

Abstract:

Aiming at the difficulty of extracting weak periodic signals in the background of impact noise, the cascade stochastic resonance method based on levy noise as background noise is proposed. Firstly, the relationship between the spectrum value of weak signal and the levy noise parameters is summarized numerically. Secondly, the changes of the parameters of the system parameters are analyzed. Finally, the cascade system is used to extract the weak signal under the background of levy noise. The results show that the optimal interval of the random resonance parameters don’t change with the change of the noise parameter α and β, The amplitude of the system output signal will change with the change of noise parameter α and β, but not much. In cascade system, the spectrum value of the output signal to be detected by the second level system is 1.4 times that of the first level system. The system has strong practicability for the extraction of weak signal in the impact environment.