Gaussian Mixture Noise ImprovingNonlinear Multiple Signal Detection

Based on a nonlinear signal detector, stochastic resonance (SR) of noise-improved multiple signal detection is discussed for Gaussian mixture noise with different parameters. Signal transits from supra-threshold to sub-threshold when the threshold of the nonlinear signal detector is raised and noise transits from unimodal to bimodal when the parameter in Gaussian mixture noise increases, the occurrence of SR is studied in detail. The evolution of SR is a gradual process, which isn't affected completely by whether the signal is supra-threshold or sub-threshold, or by whether the noise is unimodal or bimodal. Based on computer simulation, for different fixed noise parameters and detector thresholds, the existence of SR shows a variety of circumstances and the detection efficacy can be improved rapidly when the sample number increases. These results show that the occurrence of SR depends strongly on the parameter in Gaussian mixture noise, the threshold of the nonlinear multiple signal detector and the sample number, and is their complex synergy.