单稳系统的脉冲响应研究

Pulse response of a monostable system

针对单稳系统检测脉冲信号的参数调节方法很难达到理想随机共振效果的难点,本文提出了脉冲序列整体平移的方法.该方法不采用系统参数调节,而是通过偏移量的设置来实现并达到增强单稳随机共振的目的.为了减小单稳脉冲响应波形的失真,探讨了该方法减小脉冲响应失真的机理.在噪声存在的情况下,揭示了该平移方法调节噪声使噪声产生积极作用从而改善单稳随机共振的机理,表明所提方法有利于含噪脉冲信号的检测.

The potential function of a mono-stable system is studied in this paper. The response of pulse series with different half-peak width via the mono-stable system is analysed. Our conclusion is that the larger the half-peak width of the input pulse series, the higher the height of the output pulse series. Distortion of the pulse response wave appears. This is the reason that the potential function of the mono-stable system is similar to the horizontal line around zero point.In view of the difficulties of adjusting parameter of the mono-stable system to reach stochastic resonance, a method of moving pulse series is put forward. Adjusting the system parameter is not considered but the stochastic resonance of the pulse signal is realized by setting an offset in the method. To reduce the response pulse wave distortion, a mechanism for the proposed method to reduce the distortion is discussed in detail. When noise exists, the mechanism reveals that the moving pulse series method can adjust the distribution of the noise power spectrum and improve the mono-stable stochastic resonance. Therefore, the method proposed in this paper is helpful to detect pulse signal masked by noise.