Receiver operating characteristics for the coherent UWB random noise radar

An ultrawideband (UWB) random-noise radar operating in the 1-2 GHz frequenc y band has been developed and field-tested at a 200 m range at the Universi ty of Nebraska. A unique heterodyne correlation technique based on a delaye d transmitted waveform using a photonic delay line has been used to inject coherence within this system. The performance of this radar, assuming a poi nt target, has been investigated from a statistical point of view by develo ping the theoretical basis for the system's receiver operating characterist ics (ROC). Explicit analytical expressions for the joint probability densit y function (pdf) of the in-phase (I) and quadrature (Q) components of the r eceiver output have been derived under the assumption that the input signal s are partially correlated Gaussian processes. The pdf and the complementar y cumulative distribution function (cdf) for the envelope of the receiver o utput are also derived. These expressions are used to relate the probabilit y of detection (P,) to the probability of false alarm (PI) for different nu mbers of integrated samples, and the results are analyzed.