EURASIP Journal on Advances in Signal Processing
Detection and estimation of improper complex random signals
IEEE Transactions on Information Theory
Statistical distributions of Hermitian quadratic forms in complex Gaussian variables
IEEE Transactions on Information Theory
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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 (P"D) and false alarm (P"F"A) for two LRT-based receivers. Then, asymptotic (with respect to the data length) closed-form expressions are given for P"D and P"F"A for four GLRT-based receivers. Finally, in order to strengthen the obtained results, some illustrative examples are presented.