15 April 2010 Covariance consistency for track initiation using Gauss-Hermite quadrature
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Abstract
The initiation of a consistent state covariance or uncertainty which accurately reflects the discrepancy from truth is a prerequisite to achieving correct data association in tracking. In this paper, the treatment of non- Gaussian states in the initial orbit determination (IOD) problem for space surveillance or more general track initiation problem is considered and the accurate and consistent computation of such non-Gaussian uncertainties is addressed. The main contribution is a framework for achieving uncertainty (covariance) consistency in the IOD problem based on efficient Gauss-Hermite quadrature methods. The formalism is applicable in general tracking settings, in particular, multisensor data fusion. Additionally, a series of realtime metrics constructed from tensors of higher-order cumulants are developed which provide a tool for assessing uncertainty consistency. The effectiveness of the proposed track initiation method is illustrated through various case studies in space surveillance tracking.
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Joshua T. Horwood, Joshua T. Horwood, Nathan D. Aragon, Nathan D. Aragon, Aubrey B. Poore, Aubrey B. Poore, } "Covariance consistency for track initiation using Gauss-Hermite quadrature", Proc. SPIE 7698, Signal and Data Processing of Small Targets 2010, 76980T (15 April 2010); doi: 10.1117/12.851880; https://doi.org/10.1117/12.851880
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