Journal of Applied Mathematics and Stochastic Analysis 
Volume 14 (2001), Issue 1, Pages 93-112
doi:10.1155/S1048953301000089

A simple asymptotically optimal filter over an infinite horizon

P. Chigansky, R. Liptser, and B. Z. Bobrovsky

Tel Aviv University, Department of Electrical Engineering-Systems, Tel Aviv 69978, Israel

Received 1 October 1999; Revised 1 October 2000

Abstract

A filtering problem over an infinite horizon for a continuous time signal and discrete time observation in the presence of non-Gaussian white noise is considered. Conditions are presented, under which a nonlinear Kalman type filter with limiter is asymptotically optimal in the mean square sense for long time intervals given provided the sampling frequency is sufficiently high.