Abstract
The problem of adaptive nonparametric detector in correlation Gaussian noise is considered. The nonparametric detectors are CFAR (Constant-False-Alarm-Rate) detectors, when the input received reference cells are IID (Identical Independent Distribution) variances. But the false alarm probability (Pfa) of the nonparametric detectors could not be constant if the samples of the reference range cells are not independent. A simple and easily implemented adaptive nonparametric detection method is proposed in the paper. In orde to maintain CFAR the weight of the detection range cell of the detector must be changed by different output values of the IIR filter for measurement of the correlation coefficient (ϱ) of the input noise. In this paper the closed form expressions for detection probability (Pd) andPfa of the weighted nonparametric detector are derived. The ARE (Asymptotic Relative Efficiency) of the weighted detectors is investigated. In the end the detection performance of the adaptive nonparametric detector is determined by Monte Carlo simulation on the digital computer.
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