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Article Dans Une Revue IEEE Transactions on Automatic Control Année : 1998

A differential geometric approach to nonlinear filtering: the projection filter

Résumé

This paper presents a new and systematic method of approximating exact nonlinear filters with finite dimensional filters, using the differential geometric approach to statistics. The projection filter is defined rigorously in the case of exponential families. A convenient exponential family is proposed which allows one to simplify the projection filter equation and to define an a posteriori measure of the local error of the projection filter approximation. Finally, simulation results are discussed for the cubic sensor problem.
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Dates et versions

hal-00912035 , version 1 (20-12-2013)

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Damiano Brigo, Bernard Hanzon, François Le Gland. A differential geometric approach to nonlinear filtering: the projection filter. IEEE Transactions on Automatic Control, 1998, AC--43 (2), pp.247-252. ⟨10.1109/9.661075⟩. ⟨hal-00912035⟩
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