White noise theory of robust nonlinear filtering with correlated state and observation noises

Bagchi, Arunabha and Karandikar, Rajeeva (1994) White noise theory of robust nonlinear filtering with correlated state and observation noises. Systems & Control Letters, 23 (2). pp. 137-148. ISSN 0167-6911

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Abstract:	In the existing `direct¿ white noise theory of nonlinear filtering, the state process is still modelled as a Markov process satisfying an Itô stochastic differential equation, while a `finitely additive¿ white noise is used to model the observation noise. We remove this asymmetry by modelling the state process as the solution of a (stochastic) differential equation with a `finitely additive¿ white noise as the input. This enables us to introduce correlation between the state and observation noises, and to obtain robust nonlinear filtering equations in the correlated noise case.
Item Type:	Article
Copyright:	© 1994 Elsevier Science
Faculty:	Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:	Stochastic Systems and Signals (SST)
Link to this item:	http://purl.utwente.nl/publications/30170
Official URL:	http://dx.doi.org/10.1016/0167-6911(94)90043-4
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