Auxiliary variable particle filter (AVPF) at smaller process noise
state estimation can not get better filtering accuracy
this paper presents a novel auxiliary variable particle filter. Regularization will be introduced into resampling of auxiliary variable particle filter
In the resampling
the discrete probability distribution function approximated by a continuous distribution function
which not only retains the feature that AVPF based on the size of likelihood values revises the original particles are concentrated weights before resampling
from smooth posterior density resampling
after the introduction of regularization also able to maintain the diversity of particle in the resampling
increasing the number of the effective particles
can effectively inhibit the degradation of the sample. For doublet
a highly nonlinear system model has been widely used
in the process of selecting a different noise
carry out Monte Carlo simulations. Simulation results show that the novel variable particle filter has better filtering accuracy.
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references
Gordon N J, Salmond D J, Smith A F M. Novel approach to nonlinear/non-gaussian bayesian state estimation[J]. IEE Proceedings F Radar and Signal Processing, 1993, 140(2): 107-113. DOI: 107
New York, USA Musso C, Oudjane N, Le Gland F. Improved regularized particle filter. sequential monte carlo methods in practice[M]. New York, USA: Springer Verlag, 2001: 247-271. DOI: 247
朱志宇. 粒子滤波算法及其应用[M]. 北京: 科学出版社, 2010.
Cappe O, Godsill S J, Moulines E. An overview of existing methods and recent advances in sequential Monte Carlo. [J] Proceedings of the IEEE, 2007, 95(5): 899-924. DOI: 899
Pitt M K, Shephard N. Filtering via simulation: auxiliary particle filtering[J]. American Statistical Association, 1999, 446(94): 590-599. DOI: 590
Kotecha J H, Djuric P M. Gaussian particle filtering[J]. IEEE Transactions on Signal Processing, 2003, 51(10): 2592-2601. DOI: 2592