Scharf, Louis L., authorKraut, Shawn, authorIEEE, publisher2007-01-032007-01-031999Kraut, Shawn and Louis L. Scharf, The CFAR Adaptive Subspace Detector is a Scale-Invariant GLRT, IEEE Transactions on Signal Processing 47, no. 9 ( September 1999): 2538-2541.http://hdl.handle.net/10217/748The constant false alarm rate (CFAR) matched subspace detector (CFAR MSD) is 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 proposed for detecting a target signal in noise whose covariance structure and level are both unknown and whose covariance structure is estimated with a sample covariance matrix based on training data. We show here that the CFAR 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.born digitalarticleseng©1999 IEEE.Copyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright.multidimensional signal detectionmatched filtersmaximum likelihood detectionadaptive arraysradar detectionText