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

Abdelkader Oukaci (1, 2, 3) , Jean-Pierre Delmas (4, 1, 2, 3) , Pascal Chevalier (5, 6)

1 TSP - CITI - Communications, Images et Traitement de l'Information
2 SAMOVAR - Services répartis, Architectures, MOdélisation, Validation, Administration des Réseaux
3 CNRS - Centre National de la Recherche Scientifique
4 TIPIC-SAMOVAR - Traitement de l'Information Pour Images et Communications
5 Thales Communications [Colombes]
6 CEDRIC - Centre d'études et de recherche en informatique et communications

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.

Mots clés: Detection; Likelihood ratio test (LRT); Generalized likelihood ratio test (GLRT); Receiver operating characteristics (ROC); Noncircular signals; Rectilinear signals; Widely linear

Domaines: Traitement du signal et de l'image [eess.SP]

Abdelkader Oukaci, Jean-Pierre Delmas, Pascal Chevalier. Performance analysis of LRT/GLRT-based array receivers for the detection of a known real-valued signal corrupted by noncircular interferences. Signal Processing, 2011, 91 (10), pp.2323 - 2331. ⟨10.1016/j.sigpro.2011.04.017⟩. ⟨hal-00664250⟩