Resumo (PT):
We describe a procedure that gives us an approximate solution to a piecewise linear discrete time filtering problem with small observation noise. We present and compare different tests which en-able us to compute the intervals of linearity o! the observation function, under a "detectability assumption" based on the drift. Over such an interval, we can then approximate the optimal filter by the correspon-ding Kalman-Bucy filter
Abstract (EN):
The authors describe a procedure that gives an approximate solution to a piecewise linear discrete time filtering problem with small observation noise. They present and compare different tests which make it possible to compute the intervals of linearity of the observation function, under a 'detectability assumption' based on the drift. Over such an interval, one can then approximate the optimal filter by the corresponding Kalman-Bucy filter.
Language:
English
Type (Professor's evaluation):
Scientific
No. of pages:
2