【摘要】 随机共振是一种在非线性系统中噪声起促进作用的反直观的现象.近来,这一现象被应用到信号处理领域.以前大部分关于随机共振的工作都集中在考虑受噪声污染的简谐信号或者数字信号,将考虑多频模拟信号,以获得随机共振在信号处理中的更多有价值的信息.还原随机共振系统的输出一直是一个困难的问题,但是在信号比较简单,例如简谐模拟信号和数字信号的情况下,可以有一些比较简便的方法.对于多频模拟信号,系统输出的还原就会相应地变得比较复杂.在分析非线性系统输出波形畸变原因的基础上,提出了一种新的反演方法,这种方法包含一个简单的反演公式、跃迁区域(信号严重失真段)的线性插值和最小二乘法的多项式曲线拟合.仿真结果表明,在适当选择系统参数的基础上,应用上述的反演方法可以得到比较理想的结果.更多还原

【Abstract】 Stochastic resonance (SR) is a counterintuitive phenomenon wherein the noise plays a constructive role in nonlinear dynamic systems, and it becomes a promising way of signal processing recently. Since most of the previous works concentrated on distorted simple-harmonic input and digital signals, we are tending to observe more signal processing features of SR by use of multi-frequency analog signals in this paper. It is difficult to recover the information in the output obtained by a SR system. But for simple input, i.e. the simple-harmonic analog signal and digital signal, there are some typical methods. When treating a multi-frequency analog signal, the recovery procedure becomes more complex. In this paper, we firstly discuss the reason why the output of a nonlinear system is distorted in detail. Based on this work, a new signal recovery method is suggested. The method includes a simple formula to restore the signal data, a linear interpolation in transient timeslice and a least square polynomial fitting to deal with the data obtained above. According to the simulation, this method gives good results when the system parameters are well selected.更多还原