Stochastic Resonance in a Simple Threshold System from a Static Mutual Information Point of View

Abstract

Signal processing in a simple threshold system is studied with use of a static mutual information between the input and output data, with main emphasis put on stochastic resonance (SR) and a feedback mechanism to enhance information transmission through the system. First we verify that the proposed static mutual information is well correlated with the existing measures for SR, such as the signal to noise ratio and the normalized power norm. Secondly we try to use output information to improve quality of signal processing and show by a self-consistent theory that a feedback mechanism can usefully be applied to improve performance (i.e., to increase the mutual information) of the simple threshold system.