The detection of signals in noise with possibly asymmetric probability density functions is considered. The noise density model allows a symmetric contaminated-nominal central part and an arbitrary tail behavior. For detection of known signals, the robust nonlinear-correlator (NC) detector is obtained based on detector efficacy as performance criterion. The robustM-detector structure for constant-signal detection is also explicitly obtained.
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Kassam et al. (1982) studied this question.
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