Abstract
Stochastic resonance (SR) in an overdamped linear system driven by correlated multiplicative and additive noise was studied when the additive noise was a linear combination of an asymmetric dichotomous noise and its square. Via the signal-to-noise ratio (SNR) theory and the Shapiro-Loginov formula, the exact expression of the first two moments and SNR are obtained. There are three different forms of SR: bona fide SR, conventional SR, and SR in the broad sense. The asymmetry of the additive noise reduces the SNR, whereas the asymmetry of the multiplicative noise enhances the SNR and improves the output signal. The effects of multiplicative and additive noise on the SNR are different. Multiplicative noise weakens the SNR, whereas cross correlation enhances the SNR for some intermediate values.
| Original language | English |
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| Pages (from-to) | 611-620 |
| Number of pages | 10 |
| Journal | Chinese Journal of Physics |
| Volume | 46 |
| Issue number | 6 |
| State | Published - Dec 2008 |