The Adaptive Coherence Estimator is the Generalized Likelihood Ratio Test for a Class of Heterogeneous Environments
Authors:
- Jean-Yves TourneretJTJean-Yves Tourneret
- 15 February 2008
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Signal Processing Letters
- Vol. 15 (10709908) , 281-284
Abstract
The adaptive coherence estimator (ACE) is known to be the generalized likelihood ratio test (GLRT) in partially homogeneous environments, i.e., when the covariance matrix Ms of the secondary data is proportional to the covariance matrix Mp of the vector under test (or Ms = gamma/Mp). In this letter, we show that ACE is indeed the GLRT for a broader class of nonhomogeneous environments, more precisely when Ms is a random matrix, with inverse complex Wishart prior distribution whose mean only is proportional to Mp. Furthermore, we prove that, for this class of heterogeneous environments, the ACE detector satisfies the constant false alarm rate (CFAR) property with respect to gamma and Mp.Keywords
This publication has 11 references indexed in Scilit:
- A Bayesian Approach to Adaptive Detection in Nonhomogeneous EnvironmentsIEEE Transactions on Signal Processing, 2008
- The adaptive coherence estimator: a uniformly most-powerful-invariant adaptive detection statisticIEEE Transactions on Signal Processing, 2005
- Adaptive matched subspace detectors and adaptive coherence estimators2002
- Adaptive subspace detectorsIEEE Transactions on Signal Processing, 2001
- Exact performance of STAP algorithms with mismatched steering and clutter statisticsIEEE Transactions on Signal Processing, 2000
- Performance of a class of adaptive detection algorithms in nonhomogeneous environmentsIEEE Transactions on Signal Processing, 2000
- Space-time adaptive radar performance in heterogeneous clutterIEEE Transactions on Aerospace and Electronic Systems, 2000
- The CFAR adaptive subspace detector is a scale-invariant GLRTIEEE Transactions on Signal Processing, 1999
- Matched subspace detectorsIEEE Transactions on Signal Processing, 1994
- An Adaptive Detection AlgorithmIEEE Transactions on Aerospace and Electronic Systems, 1986