The /spl alpha/-/spl beta/-/spl Gamma/ tracking filter with a noisy jerk as the maneuver model: frequency domain solution

Author

Arcasoy, C.C.

Author_Institution

Dept. of Electr. & Electron. Eng., Eastern Mediterranean Univ., Famagusta, Cyprus

Volume

32

Issue

3

fYear

1996

fDate

7/1/1996 12:00:00 AM

Firstpage

1170

Lastpage

1174

Abstract

An analysis of a discrete constant gain α-β-Γ tracking filter is presented in frequency domain. The target is assumed to be moving with constant acceleration and is acted upon by an uncorrelated zero mean noise jerk which perturbs its constant acceleration motion. Closed-formed results for estimating optimum steady-state position, velocity, and acceleration of the target are given along with the code for simple program that computes the gains for a given tracking index. While the results [2 and 4] are correct, the gains can be found in a much simpler manner The stability analysis of the optimal tracking filter yields the selection of the quartic equation root.

Keywords

Kalman filters; filtering theory; frequency-domain analysis; matrix algebra; parameter estimation; random noise; stability; stochastic systems; target tracking; tracking filters; /spl alpha/-/spl beta/-/spl Gamma/ tracking filter; Closed-formed results; acceleration estimation; constant acceleration; constant acceleration motion; discrete constant; frequency domain solution; gains; maneuver model; noisy jerk; optimum steady-state position estimation; quartic equation root; stability analysis; target; tracking index; uncorrelated zero mean noise jerk; velocity estimation; Acceleration; Covariance matrix; Equations; Frequency domain analysis; Frequency response; Kalman filters; Motion analysis; Predictive models; Stability analysis; Steady-state; Stochastic systems; Target tracking;

fLanguage

English

Journal_Title

Aerospace and Electronic Systems, IEEE Transactions on

Publisher

ieee

ISSN

0018-9251

Type

jour

DOI

10.1109/7.532279

Filename

532279