Statistical Analysis of Antenna Pattern Loss Effects

The generation of average probability-of-detection curves for threedimensional, or pencil-beam, radars, with compensation for random target position included statistically, is discussed. A fixed-array radar with step-scan operation is assumed and, with 3-dB beam crossover points, this is effectively the case of one pulse per beamwidth or one hit per scan. Numerical results are presented showing detection dependence on beam overlap, detection threshold, and amplitude scintillation. The fact that the average energy received from a target, assuming a uniform distribution of target position within a beam, does not lead to the correct average probability of detection at other than 0.5 P D is discussed and shown graphically.