Stochastic resonance based on periodic non-uniform sampling

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Journal of Vibration and Shock ›› 2011, Vol. 30 ›› Issue (12) : 78-84.

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Stochastic resonance based on periodic non-uniform sampling

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

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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.

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non-uniform sampling / stochastic resonance / spectrum analysis

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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