Analytical investigation of stochastic resonance phenomenon in linear detectors and comparison to maximum likelihood detector with application in co-channel interferer channels

The authors use stochastic resonance (SR) for binary signal detection in the presence of a special type of Gaussian mixture noise. This type of noise naturally exists in signal detection problems in a channel with an interferer, and consequently, the investigations are beneficial for analysing the interferer suppression capability of the linear SR-based detectors. The authors demonstrate analytically that the region where SR-based detectors outperform the matched filter (MF) detector coincides with the region where the maximum likelihood (ML) detector outperforms the MF detector. An analytical expression is also obtained for error probability performance of the optimal SR-based detector and ML detector in an interferer channel.