The investigation of the stability of a new discrete filter

A filter, called F filter, which was considered by Benedict and Bordner (1962) is frequently employed to track radar targets. The coordinates of these targets are determined in relation to equidistant time points. However, there exist also technical applications involving nonequidistant time points. One of these applications is related to the precision approach control radar. In this case, the intervals between two points have alternately the two different values T1 and T2. The present investigation is concerned with a generalization of the F filter for the considered application. The generalized filter is described with the aid of a difference equation system. The system of equations provides the basis for the derivation of the characteristic equation. This equation makes it possible to determine the stability conditions.