ANALYTICAL SOLUTION OF ALPHA-BETA-GAMMA TRACKING FILTER WITH A NOISY JERK AS CORRELATED TARGET MANEUVER MODEL

An analysis of a discrete constant gain alpha-beta-Gamma tracking filt er where target acceleration is correlated in time is presented in the frequency domain. Recently, the steady-state gain solution for the sa me tracking filter was given in [1] where the maneuver correlation coe fficient theta was assumed to be zero. The target was assumed to be mo ving with constant acceleration motion [8]. The closed-formed results for estimating optimum steady-state position, velocity, and accelerati on of the target are given along with the code for a simple program th at computes the gains for a given tracking index as a function of mane uver correlation coefficient. The gain can be calculated from the solu tion of the constant coefficient quartic equation for given system par ameters that is in the same form as that given in [1]. The stability a nalysis of the optimal tracking filter yields the selection of the qua rtic equation root,