Bias-Compensated Pseudo-measurement Tracking Filter Design in Line-of-Sight Coordinates

Abstract

Target tracking using pseudo-measurement is widely used because of its simple implementation and computational advantages despite biased behavior. The biasedness of the pseudo-measurement tracking filter originates from a measurement-dependent Kalman gain and a state-dependent non-Gaussian biased noise. This paper proposes a bias-compensated pseudo-measurement filter considering a range rate measurement in the line-of-sight Cartesian coordinate system. Firstly, a pseudo-measurement model incorporating range rate measurements in line-of-sight coordinates is derived. The noise and measurement covariance of a proposed de-biased pseudo-measurement model are shown to be statistically consistent for highly noisy measurements. Secondly, a bias-compensated pseudo-measurement filter that adopts modified gain to suppress the estimation bias is formulated. The asymptotic stability of a proposed filter is further discussed. Lastly, simulation results show that a proposed de-biased pseudo-measurement filter is very effective in considering a range rate measurement.