Performance analysis of the GLRT-based array receivers for the detection of a known signal corrupted by noncircular interference

This paper presents a performance analysis of likelihood ratio test (LRT)-based and generalized likelihood ratio test (GLRT)-based array receivers for the detection of a known signal corrupted by a potentially noncircular interference. Studying the distribution of the statistics associated with the LRT and GLRT, expressions of the probability of detection (P_D) and false alarm (P_FA) are given. In particular, an exact closed-form expression of P_D and P_FA are given for two LRT-based receivers and asymptotic (with respect to the data length) closed-form expression are given for P_D and P_FA for four GLRT-based receivers. Finally illustrative examples are presented in order to strengthen the obtained results.