  Stochastic resonance is a phenomenon where a noise of appropriate intensity
enhances the input signal strength. In this work, by employing the recently
developed convex optimization methods in the context of dynamical systems and
stochastic processes, we derive rigorous two-sided bounds on the expected power
at the input signal frequency for the prototypical example of stochastic
resonance, the double-well potential with periodic forcing and Gaussian white
noise.
