Linear Filtering with Fractional Noises: Large Time and Small Noise Asymptotics
Linear Filtering with Fractional Noises: Large Time and Small Noise Asymptotics
The classical state-space approach to optimal estimation of stochastic processes is efficient when the driving noises are generated by martingales. In particular, the weight function of the optimal linear filter, which solves a complicated operator equation in general, simplifies to the Riccati ordinary differential equation in the martingale case. This …