Nonlinear filters for linear models (a robust approach)

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Non-linear filters for linear models

We consider the filtering problem for linear models where the driving noises may be quite general, non-white and non-Gaussian, and where the observation noise may only be known to belong to a finite family of possible disturbances. Using diffusion approximation methods, we show that a certain nonlinear filter minimizes the asymptotic filter variance. This nonlinear filter is obtained by choosin...

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ژورنال

عنوان ژورنال: IEEE Transactions on Information Theory

سال: 1995

ISSN: 0018-9448

DOI: 10.1109/18.391245