GLRT-based array receivers for the detection of a known signal with unknown parameters corrupted by noncircular interferences

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

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

The detection of a known signal with unknown parameters in the presence of noise plus interferences (called total noise) whose covariance matrix is unknown is an important problem which has received much attention these last decades for applications such as radar, satellite localization or time acquisition in radio communications. However, most of the available receivers assume a second order (SO) circular (or proper) total noise and become suboptimal in the presence of SO noncircular (or improper) interferences, potentially present in the previous applications. The scarce available receivers which take the potential SO noncircularity of the total noise into account have been developed under the restrictive condition of a known signal with known parameters or under the assumption of a random signal. For this reason, following a generalized likelihood ratio test (GLRT) approach, the purpose of this paper is to introduce and to analyze the performance of different array receivers for the detection of a known signal, with different sets of unknown parameters, corrupted by an unknown noncircular total noise. To simplify the study, we limit the analysis to rectilinear known useful signals for which the baseband signal is real, which concerns many applications.

Mots clés: Detection; GLRT; Known signal; Unknown parameters; Noncircular; Rectilinear; Interferences; Widely linear; Arrays; Radar; GPS; Time acquisition; DS-CDMA

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

Pascal Chevalier, Abdelkader Oukaci, Jean-Pierre Delmas. GLRT-based array receivers for the detection of a known signal with unknown parameters corrupted by noncircular interferences. Eurasip Journal on Applied Signal Processing, 2011, 2011 (1, 56), ⟨10.1186/1687-6180-2011-56⟩. ⟨hal-00672998⟩