Gaussian Sum-based Filtering for Hypersonic Object Tracking  from Two Geosynchronous Satellites

doi:10.3969/j.issn.1006-2475.2017.10.018

Abstract

Abstract: This paper considers tracking a cruising hypersonic object with known altitude using the time difference of arrival (TDOA) and frequency difference of arrival (FDOA) measurements obtained at two geosynchronous satellites. A new tracking algorithm, referred to as GMM-AEKF, is proposed. The algorithm utilizes a discrete-time process equation under the WGS-84 ellipsoidal Earth model, which is established through discretizing the continuous-time equation of target motion with Euler sampling. GMM-AEKF generalizes the existing GMM-EKF algorithm in the sense that it implicitly takes into account the object moving along the earth surface with known altitude. It also includes a new method that can yield a more uniform GMM representation of the TDOA measurement, the alternative extended Kalman filter (AEKF) for FDOA track update, and a Kullback-Leibler (KL) divergence-based Gaussian component management scheme. Simulation results reveal that with the use of AEKF, TDOA and FDOA track updates of GMM-AEKF are the same as the state update of standard linear Kalman filter (KF). GMM-AEKF is also shown to be able to converge faster, which makes it more suitable for hypersonic object tracking other state-of-art benchmarks.

Key words: Gaussian sum-based filtering, alternative extended Kalman filter, TDOA and FDOA, Euler sampling, Kullback-Leibler divergence

CAO Ya-qin 1,2, QIN Ning-ning 1,2, YANG Le 1,2, LI Xi 3.

Gaussian Sum-based Filtering for Hypersonic Object Tracking from Two Geosynchronous Satellites

[J]. Computer and Modernization, doi: 10.3969/j.issn.1006-2475.2017.10.018.

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