Gaussian particle filtering
Top Cited Papers
- 23 September 2003
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Signal Processing
- Vol. 51 (10), 2592-2601
- https://doi.org/10.1109/tsp.2003.816758
Abstract
Sequential Bayesian estimation for nonlinear dynamic state-space models involves recursive estimation of filtering and predictive distributions of unobserved time varying signals based on noisy observations. This paper introduces a new filter called the Gaussian particle filter. It is based on the particle filtering concept, and it approximates the posterior distributions by single Gaussians, similar to Gaussian filters like the extended Kalman filter and its variants. It is shown that under the Gaussianity assumption, the Gaussian particle filter is asymptotically optimal in the number of particles and, hence, has much-improved performance and versatility over other Gaussian filters, especially when nontrivial nonlinearities are present. Simulation results are presented to demonstrate the versatility and improved performance of the Gaussian particle filter over conventional Gaussian filters and the lower complexity than known particle filters.Keywords
This publication has 20 references indexed in Scilit:
- A new approach for filtering nonlinear systemsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2005
- Gaussian filters for nonlinear filtering problemsIEEE Transactions on Automatic Control, 2000
- Improved particle filter for nonlinear problemsIEE Proceedings - Radar, Sonar and Navigation, 1999
- Stochastic simulation Bayesian approach to multitarget trackingIEE Proceedings - Radar, Sonar and Navigation, 1995
- Applied state space modelling of non-Gaussian time series using integration-based Kalman filteringStatistics and Computing, 1994
- Novel approach to nonlinear/non-Gaussian Bayesian state estimationIEE Proceedings F Radar and Signal Processing, 1993
- Non-Gaussian State-Space Modeling of Nonstationary Time SeriesJournal of the American Statistical Association, 1987
- Dynamic Generalized Linear Models and Bayesian Forecasting: RejoinderJournal of the American Statistical Association, 1985
- Approximate non-Gaussian filtering with linear state and observation relationsIEEE Transactions on Automatic Control, 1975
- Nonlinear Bayesian estimation using Gaussian sum approximationsIEEE Transactions on Automatic Control, 1972