Performance analysis of LRT/GLRT-based array receivers for the detection of a known real-valued signal corrupted by noncircular interferences

A performance analysis of likelihood ratio test (LRT)-based and generalized likelihood ratio test (GLRT)based array receivers for the detection of a known real-valued signal corrupted by a potentially noncircular interference is considered in this paper. The distribution of the decision statistics associated with the LRT and GLRT is studied. This allows us to give exact closed-form expressions of the probability of detection (PD) and false alarm (PFA) for two LRT-based receivers. Then, asymptotic (with respect to the data length) closed-form expressions are given for PD and PFA for four GLRT-based receivers. Finally, in order to strengthen the obtained results, some illustrative examples are presented.