<title>Receiver operating characteristics (ROC) for coherent ultrawideband random noise radar</title>

Abstract

An ultrawideband (UWB) random noise radar operating in 1-2 GHz frequency range has been developed at University of Nebraska. A unique heterodyne correlation technique based on delayed transmit waveform using a photonic delay line has been used to field test this system at a target range of 200 meters. In this paper, we investigate the performance of this radar from a statistical point of view, by developing the theoretical basis for the system's receiver operating characteristics (ROC) . Explicit analytical expressions for the joint probability density function (PDF) of the in-phase (I) and quadrature (Q) components of the receiver output have been obtained under the assumption that the input signals are partially correlated bandpass Gaussian processes. The PDF and cumulative distribution function (CDF) for the envelope of the receiver output are obtained. These expressions are then used to relate the probability of detection (Pd) and the probability of false alarm (Pj ) for the system for different values of samples integrated, and the results are presented in the form of graphs.