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Filtering and Smoothing Equations for the Filtering Problems of Benes

Type: 
Conference PaperInvited and refereed articles in conference proceedings
Authored by:
Ocone, D. L., Baras, John S.
Conference date:
December 1981
Conference:
20th IEEE Conference on Decision and Control, pp. 83-88
Full Text Paper: 
Abstract: 

Filtering of a diffusion with nonlinear drifts of a type defined by Benes is studied. Explicit, finite dimensional, recursive filters are shown to exist for moments and polynomial functionals of the diffusion, and a smoothing formula is given. These results are related to current, geometric approaches to filtering.