Abstract
In this paper we present a new formula which can predict the exact detection probability of a generalized order statistics (GOS) constant false alarm rate (CFAR) detector for a partially correlated Rayleigh target model (0 < ρ < 1) in a closed form, where ρ is the correlation coefficient between returned pulses. By simply substituting a set of specific coefficient into the derived formula, one can obtain the detection probability of any kind of CFAR detector. Detectors may include the order statistics CFAR detector, the censored mean level detector, and the trimmed mean CFAR detector, but are not necessarily restricted to them. The numerical result for the first order Markov correlation model as applied to some of the detectors shows that as p increases from zero to one, higher signal-to-noise ratio is required to achieve the same detection probability.
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