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Coordinate and motion parameters estimation of emitting objects with ballistic trajectory

DOI 10.18127/j20700784–201810–07


M.I. Sychev – Dr.Sc. (Eng.), Professor, Moscow Aviation Institute (National Research University)
D.S. Golenko – Post-graduate Student, Moscow Aviation Institute (National Research University)

This paper considers a ballistic target tracking problem by means of passive antenna array. The ballistic target is assumed to constantly emit signals so the Doppler measurements are available. A multiple model filter with state dependent transition matrix is proposed where each filter represents flight phase of the target. Different dynamic models are considered for each of three flight phases: boost phase, free flight, reentry phase. The trajectory is built in geocentric Cartesian coordinate system while measurements are taken in the local spherical coordinate system. Extended Kalman filter is used to deal with nonlinearities in the observation model. Three modifications of the multiple model filter are presented and comparison is made throughout a simulation. It was verified that rapid changes in a probability vector can accurately indicate model change moment. Simulation results show that noticeable
improvement in a mean trajectory accuracy can be achieved by adding merging step between threads of the filter while maintaining almost the same standard deviation error.

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