Stochastic resonance in linear system driven by multiplicative and additive noise

Lijuan Ning; Wei Xu

doi:10.1016/j.physa.2007.04.027

Stochastic resonance in linear system driven by multiplicative and additive noise

Lijuan Ning
, Wei Xu

数学与统计学院

Northwestern Polytechnical University Xian

科研成果: 期刊稿件 › 文章 › 同行评审

32 引用（Scopus）

摘要

The stochastic resonance (SR) is studied in an overdamped linear system driven by multiplicative and additive noise when the additive noise is a linear combination of an asymmetric dichotomous noise and its square. The exact expressions are obtained for the first two moments and the correlation function and the SR phenomenon appeared. There are three different forms of SR: the bona fide SR, the conventional SR and SR in the broad sense. Moreover, the asymmetry of multiplicative noise has different effect on signal-to-ratio (SNR) for the first two different forms of SR and the effects of multiplicative noise and additive noise on SNR are different.

源语言	英语
页（从-至）	415-422
页数	8
期刊	Physica A: Statistical Mechanics and its Applications
卷	382
期	2
DOI	https://doi.org/10.1016/j.physa.2007.04.027
出版状态	已出版 - 15 8月 2007

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10.1016/j.physa.2007.04.027

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AU - Xu, Wei

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AB - The stochastic resonance (SR) is studied in an overdamped linear system driven by multiplicative and additive noise when the additive noise is a linear combination of an asymmetric dichotomous noise and its square. The exact expressions are obtained for the first two moments and the correlation function and the SR phenomenon appeared. There are three different forms of SR: the bona fide SR, the conventional SR and SR in the broad sense. Moreover, the asymmetry of multiplicative noise has different effect on signal-to-ratio (SNR) for the first two different forms of SR and the effects of multiplicative noise and additive noise on SNR are different.

KW - Dichotomous noise

KW - Signal-to-noise ratio

KW - Stochastic resonance

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