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Adaptive Detection in Nonhomogeneous Environments Using the Generalized Eigenrelation

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2 Author(s)
Besson, O. ; ENSICA, Toulouse ; Orlando, D.

This letter considers adaptive detection of a signal in a nonhomogeneous environment, more precisely under a covariance mismatch between the test vector and the training samples, due to an interference that is not accounted for by the training samples, e.g., a sidelobe target or an under-nulled interference. We assume that the covariance matrices of the test vector and the training samples verify the so-called generalized eigenrelation. Under this assumption, we derive the generalized likelihood ratio test and show that it coincides with Kelly's detector.

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Signal Processing Letters, IEEE  (Volume:14 ,  Issue: 10 )