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The problem of adaptive nonparametric detector in correlation Gaussian noise isconsidered.The nonparametric detectors are CFAR(Constant-False-Alarm-Rate)detectors,whenthe input received reference cells are IID(Identical Independent Distribution)variances.But the falsealarm probability(P_(fa))of the nonparametric detectors could not be constant if the samples of thereference range cells are not independent.A simple and easily implemented adaptive nonparametricdetection method is proposed in the paper.In orde to maintain CFAR the weight of the detection rangecell of the detector must be changed by different output values of the IIR filter for measurement of thecorrelation coefficient(p)of the input noise.In this paper the closed form expressions for detectionprobability(P_d)and P_(fa)of the weighted nonparametric detector are derived.The ARE(AsymptoticRelative Efficiency)of the weighted detectors is investigated.In the end the detection performance ofthe adaptive nonparametric detector is determined by Monte Carlo simulation on the digital computer.
The problem of adaptive nonparametric detector in correlation Gaussian noise isconsidered.The nonparametric detectors are CFAR (Constant-False-Alarm-Rate) detectors, whenthe input received reference cells are IID (Identical Independent Distribution) variances.But the false alarm probability (P_ (fa )) of the nonparametric detectors could not be constant if the samples of thereference range cells are not independent. A simple and easily implemented adaptive nonparametricdetection method is proposed in the paper. orde to maintain CFAR the weight of the detection rangecell of the detector must be changed by different output values of the IIR filter for measurement of thecorrelation coefficient (p) of the input noise.In this paper the closed form expressions for detectionprobability (P_d) and P_ (fa) of the weighted nonparametric detector are derived. ARE (Asymptotic Relative Efficiency) of the weighted detectors is investigated. In the end the detection performance of the adaptive nonparametric detector i s determined by Monte Carlo simulation on the digital computer.