Enhancement detection of characteristic signal using stochastic resonance by adding a harmonic excitation

Niaoqing Hu, Lei Hu, Xiaofei Zhang, Fengshou Gu, Andrew Ball

Research output: Contribution to journalConference article

1 Citation (Scopus)

Abstract

For a bistable nonlinear system, deterministic and stochastic excitations play equivalent roles in promotion of chaos according to qualitative results of Melnikov theory. When a bistable system maintains the state of stochastic resonance (SR), the output of system is chaotic, and the most effective spectral shape is obtained when the output power is distributed closet to the frequency of the Melnikov scale's peak. In classical SR, improvement of the signal-to-noise ratio (SNR) is achieved by increasing the noise intensity, but this approach may be unwieldy. Instead of it in this paper, the more effective SNR enhancement is achieved by adding a harmonic excitation with frequency based on the system's Melnikov scale factor to the system while the noise is left unchanged. The effectiveness of this method is confirmed and replicated by numerical simulations. Combined with the strategy of scale transform, the method cab be used to detect weak periodic signal with arbitrary frequency buried in the heavy noise. At last, the method for enhancement detection of machinery fault characteristic signal is discussed via a case data.

LanguageEnglish
Article number012046
JournalJournal of Physics: Conference Series
Volume364
Issue number1
DOIs
Publication statusPublished - 2012
Event25th International Congress on Condition Monitoring and Diagnostic Engineering: Sustained Prosperity through Proactive Monitoring, Diagnosis and Management - University of Huddersfield, Huddersfield, United Kingdom
Duration: 18 Jun 201220 Jun 2012
Conference number: 25
http://compeng.hud.ac.uk/comadem2012/ (Link to Conference Website )

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harmonic excitation
augmentation
signal to noise ratios
output
noise intensity
machinery
promotion
nonlinear systems
chaos
excitation
simulation

Cite this

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title = "Enhancement detection of characteristic signal using stochastic resonance by adding a harmonic excitation",
abstract = "For a bistable nonlinear system, deterministic and stochastic excitations play equivalent roles in promotion of chaos according to qualitative results of Melnikov theory. When a bistable system maintains the state of stochastic resonance (SR), the output of system is chaotic, and the most effective spectral shape is obtained when the output power is distributed closet to the frequency of the Melnikov scale's peak. In classical SR, improvement of the signal-to-noise ratio (SNR) is achieved by increasing the noise intensity, but this approach may be unwieldy. Instead of it in this paper, the more effective SNR enhancement is achieved by adding a harmonic excitation with frequency based on the system's Melnikov scale factor to the system while the noise is left unchanged. The effectiveness of this method is confirmed and replicated by numerical simulations. Combined with the strategy of scale transform, the method cab be used to detect weak periodic signal with arbitrary frequency buried in the heavy noise. At last, the method for enhancement detection of machinery fault characteristic signal is discussed via a case data.",
keywords = "Chaotic dynamics, Machinery fault detection, Stochastic resonance, Weak signal detection",
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year = "2012",
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language = "English",
volume = "364",
journal = "Journal of Physics: Conference Series",
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Enhancement detection of characteristic signal using stochastic resonance by adding a harmonic excitation. / Hu, Niaoqing; Hu, Lei; Zhang, Xiaofei; Gu, Fengshou; Ball, Andrew.

In: Journal of Physics: Conference Series, Vol. 364, No. 1, 012046, 2012.

Research output: Contribution to journalConference article

TY - JOUR

T1 - Enhancement detection of characteristic signal using stochastic resonance by adding a harmonic excitation

AU - Hu, Niaoqing

AU - Hu, Lei

AU - Zhang, Xiaofei

AU - Gu, Fengshou

AU - Ball, Andrew

PY - 2012

Y1 - 2012

N2 - For a bistable nonlinear system, deterministic and stochastic excitations play equivalent roles in promotion of chaos according to qualitative results of Melnikov theory. When a bistable system maintains the state of stochastic resonance (SR), the output of system is chaotic, and the most effective spectral shape is obtained when the output power is distributed closet to the frequency of the Melnikov scale's peak. In classical SR, improvement of the signal-to-noise ratio (SNR) is achieved by increasing the noise intensity, but this approach may be unwieldy. Instead of it in this paper, the more effective SNR enhancement is achieved by adding a harmonic excitation with frequency based on the system's Melnikov scale factor to the system while the noise is left unchanged. The effectiveness of this method is confirmed and replicated by numerical simulations. Combined with the strategy of scale transform, the method cab be used to detect weak periodic signal with arbitrary frequency buried in the heavy noise. At last, the method for enhancement detection of machinery fault characteristic signal is discussed via a case data.

AB - For a bistable nonlinear system, deterministic and stochastic excitations play equivalent roles in promotion of chaos according to qualitative results of Melnikov theory. When a bistable system maintains the state of stochastic resonance (SR), the output of system is chaotic, and the most effective spectral shape is obtained when the output power is distributed closet to the frequency of the Melnikov scale's peak. In classical SR, improvement of the signal-to-noise ratio (SNR) is achieved by increasing the noise intensity, but this approach may be unwieldy. Instead of it in this paper, the more effective SNR enhancement is achieved by adding a harmonic excitation with frequency based on the system's Melnikov scale factor to the system while the noise is left unchanged. The effectiveness of this method is confirmed and replicated by numerical simulations. Combined with the strategy of scale transform, the method cab be used to detect weak periodic signal with arbitrary frequency buried in the heavy noise. At last, the method for enhancement detection of machinery fault characteristic signal is discussed via a case data.

KW - Chaotic dynamics

KW - Machinery fault detection

KW - Stochastic resonance

KW - Weak signal detection

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DO - 10.1088/1742-6596/364/1/012046

M3 - Conference article

VL - 364

JO - Journal of Physics: Conference Series

T2 - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

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