Weak Signal Detection Based on Cascaded Piecewise-linear Stochastic Resonance

Abstract

Abstract:

Aiming at the detection problem of the weak signal under noise background, a method enhanced weak signal detection was proposed based on cascaded piecewise-linear stochastic resonance. In this method, a new model of piecewise-linear stochastic resonance was applied, that avoided the saturation phenomenon in classical bistable system when detecting a weak signal, and thus the cascaded piecewise-linear stochastic resonance were selected, which could remove high frequency noise efficiently and enhanced the energy of low frequency signals. Simulation signals and bearing inner-race defective signals were analyzed, the results show that the proposed method is effective for raising the signal-to-noise ratio. Compared with cascaded bistable system, it is more convenient to adjust less correlated parameters, and possesses a good prospect of engineering applications.

Key words: cascaded piecewise-linear system, stochastic resonance(SR), denoise, fault diagnosis

摘要：

针对强背景噪声下微弱信号检测困难的问题，提出了一种级联分段线性随机共振的微弱信号增强检测方法。该方法采用分段线性随机共振模型，避免了经典双稳系统对强噪声下弱信号提取时存在的饱和现象,同时,选用的分段线性系统的级联方式可使高频噪声被有效滤掉，低频信号能量不断增强。仿真信号和滚动轴承故障信号的检测结果表明,该方法可以适应更低信噪比信号的检测,参数调节方便，检测结果优于级联双稳系统，具有良好的工程应用前景。

关键词: 级联分段线性系统, 随机共振, 降噪, 故障诊断

CLC Number:

Sun Huer, Wang Zhiwu. Weak Signal Detection Based on Cascaded Piecewise-linear Stochastic Resonance[J]. China Mechanical Engineering, 2014, 25(24): 3343-3347.

孙虎儿, 王志武. 级联分段线性随机共振的微弱信号检测[J]. 中国机械工程, 2014, 25(24): 3343-3347.

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