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.
赖志慧 1,2,饶锡新 1,刘建胜 1,冷永刚 2. 基于Duffing振子的信号频谱重构随机共振研究[J]. 振动与冲击, 2016, 35(21): 9-16.
Lai Zhi-Hui1,2 Rao Xi-Xin1 Liu Jian-Sheng1 Leng Yong-Gang2. Signal Spectrum-reconstruction Stochastic Resonance Based on Duffing Oscillator. JOURNAL OF VIBRATION AND SHOCK, 2016, 35(21): 9-16.
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