We consider the problem of detecting and recognizing the subpixel targets in sea background when the background power may be different under the null hypothesis - where it is assumed to be known - and the alternative multiple hypotheses. This situation occurs when the presence of the target triggers a decrease in the background power (subpixel targets). We extend the formulation of the Matched Subspace Detector (MSD) to the case where the background power is only known under the null hypothesis using the generalized likelihood ratio test (GLRT) for the multiple hypotheses case. The obtained multiple hypotheses test is based on the Modified MSD test (MMSD). We discuss the difference between the two detection and recognition systems: based on the MSD and MMSD tests. Numerical simulations attest to the validity of the performance analysis.
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