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Bayesian filtering for hidden Markov models via Monte Carlo methods

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3 Author(s)
Doucet, A. ; Dept. of Eng., Cambridge Univ., UK ; Andrieu, C. ; Fitzgerald, W.

We propose a new Monte Carlo method for Bayesian filtering of general nonlinear and non-Gaussian hidden Markov models. This method is an extension of the well known importance sampling method. It is especially well-suited to sequential simulation as it allows one to split or kill trajectories according to a given score function. The model and estimation objectives are described. The new Monte Carlo method is presented. A few results on this method are established and its application to Bayesian filtering is described. Simulation results for several nonlinear and non-Gaussian time series are presented

Published in:
Neural Networks for Signal Processing VIII, 1998. Proceedings of the 1998 IEEE Signal Processing Society Workshop

Date of Conference: 31 Aug-2 Sep 1998

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