Signal detection statistics of stochastic resonators

We consider the signal detection performance of networks of coupled overdamped nonlinear dynamic elements driven by a weak sinusoidal signal embedded in Gaussian white noise. In the ''stochastic resonance'' operating regime, (1) the detection performance exhibits a maximum reflecting the maximum in the signal-to-noise ratio, and (2) coupling significantly enhances the detection performance over that of a single element. Coupling-induced linearization allows the nonlinear system to approach the performance of the linear system which is optimal for our signal detection problem.