Tracking and Kalman filtering made easy P8

GENERAL FORM FOR LINEAR TIME-INVARIANT SYSTEM 8.1 TARGET DYNAMICS DESCRIBED BY POLYNOMIAL AS A FUNCTION OF TIME 8.1.1 Introduction In Section 1.1 we defined the target dynamics model for target having a constant velocity; see (1.1-1). A constant-velocity target is one whose trajectory can be expressed by a polynomial of degree 1 in time, that is, d ¼ 1, in (5.9-1). (In turn, the tracking filter need only be of degree 1, i.e., m ¼ 1.) Alternately, it is a target for which the first derivative of its position versus time is a constant. In Section 2.4 we rewrote the target...