This paper addresses the detection problem for a signal with constant, but unknown amplitude in disturbance containing compound-Gaussian clutter plus additive white noise. Specifically, a new generalized likelihood ratio test (GLRT) is presented for the clairvoyant case. Previously developed GLRT expressions addressing the compound-Gaussian clutter problem have considered the 'clutter only' case assuming negligible additive white noise power. Performance evaluation is considered in the context of space-time adaptive processing (STAP) for an airborne radar application. We show improved performance of the new GLRT over previously developed tests.
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