Stability of a tracking filter based on an α-β-γ filter

✍ Scribed by Yoshio Kosuge; Hiroshi Kameda

• Publisher: John Wiley and Sons
• Year: 2000
• Tongue: English
• Weight: 267 KB
• Volume: 83
• Category: Article
• ISSN: 1042-0967
• DOI: 10.1002/(sici)1520-6440(200005)83:5<102::aid-ecjc11>3.0.co;2-d

✦ Synopsis

The tracking filter in a radar estimates the true values of target motion parameters such as position, speed, etc., from the observed target location. A typical example is the tracking filter that uses the Kalman filter. For calculating load reduction, tracking filters that use an D-E filter or an D-E-J filter, which are simplified forms of the Kalman filter, are widely used. Here, the D-E filter is used to calculate the position and speed of a moving target and the D-E-J filter is used when the acceleration of the target is required. Stability is a requirement for useful tracking filters, and it is known that the D-E filter is always stable when its gains D and E lie in the range from 0 to 1. However, there are no reports about the D-E-J filter. In this paper, the stability of the D-E-J filter is clarified when it is used as a tracking filter. It is shown that the D-E-J filter, in contrast to the D-E filter, is not necessarily stable when its gains D, E, and J lie in the range from 0 to 1. However, it is shown that three types of D-E-J filters derived from the Kalman filters etc. are stable.