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Explicit Formulas for Two State Kalman, H2 and H1 Target Tracking Filters
Journal article   Peer reviewed

Explicit Formulas for Two State Kalman, H2 and H1 Target Tracking Filters

P E Rawicz, P.R. Kalata, K.M. Murphy and T.A. Chmielewski
IEEE transactions on aerospace and electronic systems, v 39(1), pp 53-69
Jan 2003
DOI: https://doi.org/10.1109/TAES.2003.1188893
Featured in Collection :   UN Sustainable Development Goals @ Drexel

Abstract

The continuous time, two state, target tracking problem is considered from the Kalman, H/sub 2/, and H/sub /spl infin// filter viewpoint. While previous treatments were numerical in nature, analytic transient responses and infinite horizon solutions with analytic performance expressions are presented here. Tracking indices, involving the maneuver and measurement uncertainties, are shown to have a role for both the steady state and transient responses. In addition, the H/sub /spl infin// tracker has a sensor index involving the performance bound and measurement uncertainty, which, along with the tracking index, plays a significant role in the H/sub /spl infin// tracker expressions. Analytical expressions for the probability of target escape, the probability that the target position will be outside the radar beamwidth (BW), are developed not only to compare the performance of various trackers, but also as a design tool to meet tracking specifications. Examples illustrate the performance of the target trackers as a function of the error gain upper bound.

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16 citations in Web of Science
26 citations in Scopus

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Web of Science research areas
Engineering, Aerospace
Engineering, Electrical & Electronic
Telecommunications
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