title: Fisher-information condition for enhanced signal detection via stochastic resonance.
abstract: Various situations where a signal is enhanced by noise through stochastic resonance are now known. This paper contributes to determining general conditions under which improvement by noise can be a priori decided as feasible or not. We focus on the detection of a known signal in additive white noise. Under the assumptions of a weak signal and a sufficiently large sample size, it is proved, with an inequality based on the Fisher information, that improvement by adding noise is never possible, generically, in these conditions. However, under less restrictive conditions, an example of signal detection is shown with favorable action of adding noise.
authors.affiliation: Department of Automation Engineering, Qingdao University, Qingdao 266071, PR China. fabing.duan@gmail.com
authors.forename: Fabing
authors.initials: F
authors.lastname: Duan
authors.forename: François
authors.initials: F
authors.lastname: Chapeau-Blondeau
authors.forename: Derek
authors.initials: D
authors.lastname: Abbott
mesh_terms: D017711:Nonlinear Dynamics; D018401:Sample Size; D013269:Stochastic Processes