Transient Response of Tracking Filters with Randomly Interrupted Data

The transient responses during the initialization phase of a first-order ?-? tracking filter and a second-order Kalman filter are evaluated as a function of radar measurement accuracy and the probability of receiving valid data at the prescribed intervals. Monte Carlo simulation results are complemented by analysis of the filtering processes and curves are presented which clearly define the deterioration in filter performance attributable to reduced probabilities of data acquisition. In addition, the responses of ?-? and Kalman filters are shown to be identical when the ?, ? gains are selected optimally.     

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.