Publications and Preprints

We consider a linear filtering model (with feedback) when the observation noise is an Ornstein- Ulhenbeck process with parameter $\beta$. The coefficients appearing in the model are all assumed to be bounded. In addition, the coefficients appearing in the observation equation are also assumed to be differentiable. We consider the general case when the OU noise is also correlated with the signal. Under these conditions we derive the filtering equations for the optimal filter.