The Detection of Signals in Impulsive Noise Modeled as a Mixture Process

A first-order mixture noise density is considered as a model for impulsive noise channels. It consists of a mixture of a small variance, probably Gaussian, background noise pdf and a large variance impulsive pdf. Optimal nonlinear detector structures for known discretetime signals in such noise are derived. Their large-sample performance compared to that of a linear detector is studied using asymptotic relative efficiency.