No abstract

A three-state Kalman tracker Is described for tracking a moving target, such as an aircraft, making use of the position and rate measurements oblalned by a track-whlle-scan radar sensor which employs pulsed Doppler processing, such as the moving target detector providing unambiguous Doppler data. The steady-state ruter parameters have been analytically obtained under the assun.,tlon of while noise maneuver capabllily. The numerical computallons of these parameters are In exceUent agreement with those obtained from the recursive Kalman filter matrix equations. The solutIon for the case when only the range measurements are available Is obtained as a special case of this model Graphs of normalized covariances and gains are presented to Iliustrate how the solution depends on different parameters.

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A one-dimensional five state erponentially correlated rate ofjerk model is presented in this work. The filter estimates the position, velocity, acceleration, jerk and rate of jerk of an aircrap or similar vehicle moving with random exponentially correlated jerk-rate motion (fourth time derivative of displacemenf). The position coordinate of the vehicle is assumed to be measured by radar at uniform sampling intervals oftime through random noise.