Plug-In Measure-Transformed Quasi-Likelihood Ratio Test for Random Signal Detection

Recently, we developed a robust generalization of the Gaussian quasi-likelihood ratio test (GQLRT). This generalization, called measure-transformed GQLRT (MT-GQLRT), operates by selecting a Gaussian model that best empirically fits a transformed probability measure of the data. In this letter, a plug-in version of the MT-GQLRT is developed for robust detection of a random signal in nonspherical noise. The proposed detector is derived by plugging an empirical measure-transformed noise covariance, obtained from noise-only secondary data, into the MT-GQLRT. The plug-in MT-GQLRT is illustrated in simulation examples that show its advantages as compared to other detectors.