Signal Spectrum-reconstruction Stochastic Resonance Based on Duffing Oscillator

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (21) : 9-16.

Lai Zhi-Hui1,2 Rao Xi-Xin1 Liu Jian-Sheng1 Leng Yong-Gang2

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Abstract

The matching relation between signal characteristic frequency and sampling frequency has restriction on the scale-transformation stochastic resonance (SR) of a Duffing oscillator. Therefore, a signal pre-processing approach based on spectrum-reconstruction is studied in this paper, and a signal spectrum-reconstruction SR method based on Duffing oscillator is further proposed. This method introduces a spectrum-reconstruction parameter to realize the flexible transformation of signal characteristic frequency. When combined with the scale-transformation and damping-ratio-adjustment methods, this method can also realize the large-parameter SR of a Duffing system under any signal characteristic frequency and sampling frequency, thus its application in weak-signal detection can be extended. Both numerical simulation and fault diagnosis example analysis verify the effectiveness of the proposed method.

Key words

Duffing oscillator / stochastic resonance / spectrum reconstruction / scale transformation / fault diagnosis

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Lai Zhi-Hui1,2 Rao Xi-Xin1 Liu Jian-Sheng1 Leng Yong-Gang2. Signal Spectrum-reconstruction Stochastic Resonance Based on Duffing Oscillator[J]. Journal of Vibration and Shock, 2016, 35(21): 9-16

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