基于变尺度多稳随机共振的微弱信号检测研究

Study on Weak Signal Detection Based on Variable Scale Multi-stable Stochastic Resonance

针对强噪声背景下微弱信号难以检测的难题，提出基于变尺度多稳随机共振的微弱信号检测方法。多稳随机共振系统比双稳随机共振系统具有更好的微弱信号检测能力，为强噪声背景下微弱信号的检测提供了新方法。首先对大频率信号进行尺度变换使之满足随机共振条件，将频率压缩后的信号通过多稳系统，调整参数使其发生随机共振得到信号的频谱特征，并与双稳随机共振方法得到的特征频率进行比较，仿真和实例结果均表明：相同条件下，多稳随机共振方法比双稳随机共振方法得到的频率准确，可以增强信号的幅值，有效地检测出被噪声淹没的微弱信号。

Aiming at the problem of weak signal detection under strong noise background, a novel method of weak signal detection based on variable scale muhi-stable stochastic resonance is proposed. The weak signal detection ability of multi-stable stochastic resonance system is better than the bistable stochastic resonance system, which provided a new method for the detection of weak signal under strong noise background. First, the signal which is under large-scale frequency conditions while cannot occur stochastic resonance is processed by variable scale sub-sampling compression to make it to meet the conditions of stochastic resonance, then making the signal through a multi-stable system and adjusting the parameters to get the spectral characteristics of the signal, finally, comparing it with the characteristic frequency gained from the bistable stochastic resonance method. The simulation and experiment results show that under the same conditions, it is more accurate using the multi-stable stochastic resonance method to obtain frequency than the bistable stochastic resonance method, the proposed method also can enhance the signal amplitude, effectively detect weak signal submerged by strong noise.