Robust detection of signals: A large deviations approach

Robust detection of a signal is considered for the case of independent and identically distributed observations. Following an asymptotic but nonlocal approach, the exponential rates of decrease of the error probabilities are considered as measure of performance. Under this measure a robust detection structure for the symmetric density case is derived. This detection structure is a generalization of an existing result for the local case and is reduced to it when the signal magnitude tends to zero.