Remarks on linear and nonlinear filtering

Abstract

This communication tries to give some insight into relationships existing between Viterbi and the forward-backward algorithm (used in the context of hidden Markov models) on the one hand and Kalman filtering and Rauch-Tung Striebel smoothing on the other. We give a unifying view which shows how those algorithms are related and give an example of a nonlinear hybrid system that can be filtered through a mixed algorithm. >