TY - GEN
T1 - Direct versus prediction-based particle filter algorithms
AU - Desbouvries, François
AU - Ait-El-Fquih, Boujemaa
PY - 2008
Y1 - 2008
N2 - Particle Filtering (PF) algorithms propagate in time a Monte Carlo (MC) approximation of the a posteriori filtering measure in a Hidden Markov Chain (HMC) model. In this paper we first shed some new light on two classical PF algorithms, which can be considered as natural MC implementations of two two-step direct recursive formulas for computing the filtering distribution. We next address the Particle Prediction (PP) problem, which happens to be simpler than the PF problem because the optimal prediction conditional importance distribution (CID) is much easier to sample from. Motivated by this result we finally develop two PP-based PF algorithms, and we compare our algorithms via simulations.
AB - Particle Filtering (PF) algorithms propagate in time a Monte Carlo (MC) approximation of the a posteriori filtering measure in a Hidden Markov Chain (HMC) model. In this paper we first shed some new light on two classical PF algorithms, which can be considered as natural MC implementations of two two-step direct recursive formulas for computing the filtering distribution. We next address the Particle Prediction (PP) problem, which happens to be simpler than the PF problem because the optimal prediction conditional importance distribution (CID) is much easier to sample from. Motivated by this result we finally develop two PP-based PF algorithms, and we compare our algorithms via simulations.
KW - Hidden Markov chains
KW - Optimal importance function
KW - Particle filtering
KW - Sampling importance resampling
KW - Sequential importance sampling
UR - http://www.scopus.com/inward/record.url?scp=58049184929&partnerID=8YFLogxK
U2 - 10.1109/MLSP.2008.4685497
DO - 10.1109/MLSP.2008.4685497
M3 - Conference contribution
AN - SCOPUS:58049184929
SN - 9781424423767
T3 - Proceedings of the 2008 IEEE Workshop on Machine Learning for Signal Processing, MLSP 2008
SP - 303
EP - 308
BT - Proceedings of the 2008 IEEE Workshop on Machine Learning for Signal Processing, MLSP 2008
T2 - 2008 IEEE Workshop on Machine Learning for Signal Processing, MLSP 2008
Y2 - 16 October 2008 through 19 October 2008
ER -