Exact Closed-Form <i>P</i> <sub>fa</sub> Expressions for CA- and GO-CFAR Detectors in Gamma-Distributed Radar Clutter
Mohamed Sahed, Elhadi Kenane, Ali Khalfa, F. Djahli
Abstract
In this correspondence, two exact closed-form expressions for the probability of false alarm have been derived assuming a homogeneous Gamma distributed clutter. These expressions concern both the cell averaging CFAR (CA-CFAR) and the greatest of CFAR (GO-CFAR) detectors. As it will be shown, the proposed expressions are given in terms of the Gauss hypergeometric function and the second Appell function. Our expressions are then examined and validated numerically, by comparing them to their counterparts computed using numerical integrals and Monte-Carlo simulations, considering various scenarios.
Topics & Concepts
ClutterConstant false alarm rateDetectorHypergeometric functionMonte Carlo methodRadarProbability density functionAlgorithmClosed-form expressionPhysicsFunction (biology)MathematicsMathematical analysisComputer scienceStatisticsOpticsTelecommunicationsBiologyEvolutionary biologyRadar Systems and Signal ProcessingAdvanced SAR Imaging TechniquesMicrowave Imaging and Scattering Analysis