Covariance consistency for track initiation using Gauss-Hermite quadrature

Joshua T. Horwood; Nathan D. Aragon; Aubrey B. Poore

doi:10.1117/12.851880

15 April 2010 Covariance consistency for track initiation using Gauss-Hermite quadrature

Joshua T. Horwood, Nathan D. Aragon, Aubrey B. Poore

Proceedings Volume 7698, Signal and Data Processing of Small Targets 2010; 76980T (2010) https://doi.org/10.1117/12.851880
Event: SPIE Defense, Security, and Sensing, 2010, Orlando, Florida, United States

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.

Citation Download Citation

Joshua T. Horwood, Nathan D. Aragon, and 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); https://doi.org/10.1117/12.851880

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