Abstract
The stochastic resonance characteristics of a linear systemdriven by a signal-modulated noise and an unmodulated noise arestudied. Both the signal-modulated noise and the unmodulated noiseare additive in nature and they are correlated. Our study showsthat the correlation between the two noises leads to stochasticresonance. An exact analytic expression of the signal-to-noise ratioR is obtained. Based on it, some characteristic features ofstochastic resonance are revealed. In the final analysis, theexistence of a resonance peak of R vs. noise intensity is a noise correlation effect. Onthe other hand, the existence of a resonance peak of R vs. noise correlation time τ exhibits asignal-modulated effect of noise. It should be emphasized thatthe resonance peak of the R-τ curve exists even foruncorrelated noises. This is very different from the case ofdependence on the noise strengths.
Published Version
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