Optimal noise levels for stochastic resonance

In a stochastic resonance system, additive noise and a nonlinear component system permit the amplification of a weak periodic signal, whenever the strength of the noise is within a certain interval. For one such a system with a nonlinearity consisting of a threshold function, we define a measure of goodness and, for the case of Gaussian noise, derive required intervals of noise variance for stochastic resonance.

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