Characteristic Analysis of Exponential Type Monostable Stochastic Resonance under Levy Noise

ZHANG Gang; SONG Ying; ZHANG Tianqi

doi:10.11999/JEIT160579

Volume 39 Issue 4

Apr. 2017

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ZHANG Gang, SONG Ying, ZHANG Tianqi. Characteristic Analysis of Exponential Type Monostable Stochastic Resonance under Levy Noise[J]. Journal of Electronics & Information Technology, 2017, 39(4): 893-900. doi: 10.11999/JEIT160579

Citation:

ZHANG Gang, SONG Ying, ZHANG Tianqi. Characteristic Analysis of Exponential Type Monostable Stochastic Resonance under Levy Noise[J]. Journal of Electronics & Information Technology, 2017, 39(4): 893-900. doi: 10.11999/JEIT160579

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Characteristic Analysis of Exponential Type Monostable Stochastic Resonance under Levy Noise

doi: 10.11999/JEIT160579

Funds:

The National Natural Science Foundation of China (61371164), The Chongqing Distinguished Youth Foundation (CSTC2011jjjq40002), The Research Project of Chongqing Educational Commission (KJ130524)

Received Date: 2016-06-03
Rev Recd Date: 2016-11-25
Publish Date: 2017-04-19

Abstract

Abstract

Based on the absolute and exponential monostable potential, a generalized exponential type single-well potential function is constructed. The laws for the resonant output of monostable system governed byl andb,D of Levy noise are explored under different characteristic index and symmetry parameter of Levy noise. The results show that the stochastic resonance phenomenon can be induced by adjusting the exponential type parametersl and b under any or of Levy noise. The larger b (or l) is, the wider parameter interval of l (or b) can induce SR (Stochastic Resonance). The ESR (Exponential SR) system can solve the problem that the traditional system can not achieve SR due to the improper selection of parameters. The interval of D of Levy noise, which induces good stochastic resonance, does not change with or. At last, the proposed exponential type monostable is applicated to detect bearing fault signals, which achieves better performance compared with the traditional bisabled system.
- Exponential type monostable system,
- Levy noise,
- Stochastic Resonance (SR),
- Bearing fault detection

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References(23)

References

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