基于非均匀周期采样的随机共振研究

PDF(3313 KB)

振动与冲击 ›› 2011, Vol. 30 ›› Issue (12) : 78-84.

论文

基于非均匀周期采样的随机共振研究

李晓龙; 冷永刚; 范胜波;石鹏

作者信息 +

Stochastic resonance based on periodic non-uniform sampling

Li Xiao-long, Leng Yong-gang, Fan Sheng-bo, Shi Peng

Author information +

文章历史 +

摘要

随机共振的参数调节过程比较复杂，而且一般要求采样频率不低于信号频率的50倍以上才能实现随机共振。该文借鉴非均匀采样的思想，提出基于非均匀周期采样的随机共振实现方法，对不同采样频率下的采样数据进行随机共振，并利用非均匀采样傅里叶变换进行频谱叠加分析，可以实现只需简单确定随机共振参数即可得到特征信号成分。此种方法还可以在采样频率小于50倍信号频率时，依然能够得到特征信号频率成分。数值仿真和故障模拟实验研究验证了该方法有效的应用性。

Abstract

The adjustment process of the parameter for stochastic resonance (SR) is quite complicated. And to achieve stochastic resonance, the sampling frequency is more than 50 times of the signal frequency .By means of the idea of non-uniform sampling, we propose a method of periodic non-uniform sampling SR. The sampling data in different sampling frequencies is first operated through SR, and then processed with non-uniform sampling flourier transformation. The proposed method can give the signal frequency in spectrum analysis simply by fixing a group of resonance parameters. It can also provide the characteristic signal frequency components when the sampling frequency is less than 50 times of the signal frequency. The numerical simulation and the fault diagnosis experiment verified the potential applicability of this method.

导出引用

李晓龙;冷永刚;范胜波;石鹏. 基于非均匀周期采样的随机共振研究[J]. 振动与冲击, 2011, 30(12): 78-84

Li Xiao-long;Leng Yong-gang;Fan Sheng-bo;Shi Peng. Stochastic resonance based on periodic non-uniform sampling[J]. Journal of Vibration and Shock, 2011, 30(12): 78-84