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A closed-form expression is derived for the generalized likelihood ratio test(GLRT) detector of a subpixel target in a multispectral image whose area andbrightness are both unknown. This expression extends a previous result (whichassumed a Gaussian background distribution) to a fatter tailedelliptically-contoured (EC) multivariate t-distributed background. Numericalexperiments with simulated data indicate that the EC-based detector outperformsthe simpler Gaussian-based detectors, and that the relative performance of thenew detector, compared to other EC-based detectors, depends on the regime oftarget strength and background occlusion.

Generalized likelihood ratio test detector for a modified replacement model target in a multivariate t-distributed background