The tracking index  A generalized parameter for alphabeta and alphabetagamma target trackers
Abstract
A generalized, optimal filtering solution is presented for the target tracking problem. Applying optimal filtering theory to the target tracking problem, the tracking index, a generalized parameter proportional to the ratio of the position uncertainty due to the target maneuverability to that due to the sensor measurement, is found to have a fundamental role not only in the optimal steadystate solution of the stochastic regulation tracking problem, but also in the track initiation process. Depending on the order of the tracking model, the tracking index solution yields a closed form, consistent set of generalized tracking gains, relationships, and performances. Using the tracking index parameter, an initializing and tracking procedure in recursive form, realizes the accuracy of the Kalman filter with an algorithm as simple as the wellknown alphabeta filter or alphabetagamma filter, depending on the tracking order.
 Publication:

IEEE Transactions on Aerospace Electronic Systems
 Pub Date:
 March 1984
 DOI:
 10.1109/TAES.1984.310438
 Bibcode:
 1984ITAES..20..174K
 Keywords:

 Indexes (Ratios);
 Optimal Control;
 Performance Prediction;
 Radar Tracking;
 Target Acquisition;
 Tracking Filters;
 Algorithms;
 Kalman Filters;
 Mathematical Models;
 Position Errors;
 Recursive Functions;
 Tracking Problem;
 Communications and Radar