The CFAR adaptive subspace detector is a scale-invariant GLRT

Citation
S. Kraut et Ll. Scharf, The CFAR adaptive subspace detector is a scale-invariant GLRT, IEEE SIGNAL, 47(9), 1999, pp. 2538-2541
Citations number
11
Categorie Soggetti
Eletrical & Eletronics Engineeing
Journal title
IEEE TRANSACTIONS ON SIGNAL PROCESSING
ISSN journal
1053587X → ACNP
Volume
47
Issue
9
Year of publication
1999
Pages
2538 - 2541
Database
ISI
SICI code
1053-587X(199909)47:9<2538:TCASDI>2.0.ZU;2-P
Abstract
The constant false alarm rate (CFAR) matched subspace detector (CFAR MSD) i s the uniformly most-powerful-invariant test and the generalized likelihood ratio test (GLRT) for detecting a target signal in noise whose covariance structure is known but whose level is unknown, Recently, the CFAR adaptive subspace detector (CFAR ASD), or adaptive coherence estimator (ACE), was pr oposed for detecting a target signal in noise whose covariance structure an d level are both unknown and whose covariance structure is estimated with a sample covariance matrix based on training data. We show here that the CFA R ASD is GLRT when the test measurement is not constrained to have the same noise level as the training data, As a consequence, this GLRT is invariant to a more general scaling condition on the test and training data than the well-known GLRT of Kelly.