Resonance behaviour for a bistable system driven by random-phase square-wave signal-modulated noise and multiplicative noise

The stochastic resonance (SR) phenomenon for a bistable system subject to signal-modulated noise and to multiplicative and additive noise is investigated. The signal is modelled as a random-phase asymmetric square-wave one. Based on adiabatic approximation condition and two-state theory, the system...

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Published inPramāṇa Vol. 98; no. 3
Main Authors Guo, Feng, Zhu, Cheng-Yin, Cai, Qiang-Ming, Wang, Jian-Wei
Format Journal Article
LanguageEnglish
Published New Delhi Springer India 11.07.2024
Springer Nature B.V
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Abstract The stochastic resonance (SR) phenomenon for a bistable system subject to signal-modulated noise and to multiplicative and additive noise is investigated. The signal is modelled as a random-phase asymmetric square-wave one. Based on adiabatic approximation condition and two-state theory, the system output signal-to-noise ratio (SNR) is deduced. It is found that double SR phenomenon occurs when the SNR varies with the asymmetry of the square-wave signal. One resonance peak appears when the SNR changes with the amplitude of the square-wave signal. Traditional SR can be observed on the curves of the SNRs vs. the strength of the signal-modulated noise and vs. the intensities of the multiplicative and additive noise. The non-monotonous dependence of the SNR on the system parameter is discussed.
AbstractList The stochastic resonance (SR) phenomenon for a bistable system subject to signal-modulated noise and to multiplicative and additive noise is investigated. The signal is modelled as a random-phase asymmetric square-wave one. Based on adiabatic approximation condition and two-state theory, the system output signal-to-noise ratio (SNR) is deduced. It is found that double SR phenomenon occurs when the SNR varies with the asymmetry of the square-wave signal. One resonance peak appears when the SNR changes with the amplitude of the square-wave signal. Traditional SR can be observed on the curves of the SNRs vs. the strength of the signal-modulated noise and vs. the intensities of the multiplicative and additive noise. The non-monotonous dependence of the SNR on the system parameter is discussed.
ArticleNumber 98
Author Zhu, Cheng-Yin
Wang, Jian-Wei
Guo, Feng
Cai, Qiang-Ming
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  organization: School of Information Engineering, Southwest University of Science and Technology
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Issue 3
Keywords signal-modulated noise
05.40.−a
bistable system
asymmetric square-wave signal
02.50.−r
Stochastic resonance
random-phase signal
multiplicative noise
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Snippet The stochastic resonance (SR) phenomenon for a bistable system subject to signal-modulated noise and to multiplicative and additive noise is investigated. The...
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SubjectTerms Astronomy
Astrophysics and Astroparticles
Asymmetry
Observations and Techniques
Physics
Physics and Astronomy
Signal to noise ratio
Stochastic resonance
Title Resonance behaviour for a bistable system driven by random-phase square-wave signal-modulated noise and multiplicative noise
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