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GLRT-Based Direction Detectors in Homogeneous Noise and Subspace Interference

Bandiera, Francesco and Besson, Olivier and Orlando, Danilo and Ricci, Giuseppe and Scharf, Louis GLRT-Based Direction Detectors in Homogeneous Noise and Subspace Interference. (2007) IEEE Transactions on Signal Processing, vol. 5 (n° 6). pp. 2386-2394. ISSN 1053-587X

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Official URL: http://dx.doi.org/10.1109/TSP.2007.893927

Abstract

In this paper, we derive and assess decision schemes to discriminate, resorting to an array of sensors, between the H0 hypothesis that data under test contain disturbance only (i.e., noise plus interference) and the H1 hypothesis that they also contain signal components along a direction which is a priori unknown but constrained to belong to a given subspace of the observables. The disturbance is modeled in terms of complex normal random vectors plus deterministic interference assumed to belong to a known subspace. We assume that a set of noise-only (secondary) data is available, which possess the same statistical characterization of noise in the cells under test. At the design stage, we resort to either the plain generalized-likelihood ratio test (GLRT) or the two-step GLRT-based design procedure. The performance analysis, conducted resorting to simulated data, shows that the one-step GLRT performs better than the detector relying on the two-step design procedure when the number of secondary data is comparable to the number of sensors; moreover, it outperforms a one-step GLRT-based subspace detector when the dimension of the signal subspace is sufficiently high.

Item Type:Article
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:Other partners > Colorado State University - CSU (USA)
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE
Other partners > Università del Salento (ITALY)
Laboratory name:
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Deposited By: Olivier Besson
Deposited On:22 May 2008 07:19

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