Abstract
An algorithm, the bootstrap filter, is proposed for implementing recursive Bayesian filters. The required density of the state vector is represented as a set of random samples, which are updated and propagated by the algorithm. The method is not restricted by assumptions of linearity or Gaussian noise: it may be applied to any state transition or measurement model. A simulation example of the bearings only tracking problem is presented. This simulation includes schemes for improving the efficiency of the basic algorithm. For this example, the performance of the bootstrap filter is greatly superior to the standard extended Kalman filter.
Keywords
Affiliated Institutions
Related Publications
Approximate non-Gaussian filtering with linear state and observation relations
Two approaches to the non-Gaussian filtering problem are presented. The proposed filters retain the computationally attractive recursive structure of the Kalman filter and they ...
Gaussian mixture sigma-point particle filters for sequential probabilistic inference in dynamic state-space models
For sequential probabilistic inference in nonlinear non-Gaussian systems, approximate solutions must be used. We present a novel recursive Bayesian estimation algorithm that com...
The square-root unscented Kalman filter for state and parameter-estimation
Over the last 20-30 years, the extended Kalman filter (EKF) has become the algorithm of choice in numerous nonlinear estimation and machine learning applications. These include ...
New extension of the Kalman filter to nonlinear systems
The Kalman Filter (KF) is one of the most widely used methods for tracking and estimation due to its simplicity, optimality, tractability and robustness. However, the applicatio...
A Bayesian approach to problems in stochastic estimation and control
In this paper, a general class of stochastic estimation and control problems is formulated from the Bayesian Decision-Theoretic viewpoint. A discussion as to how these problems ...
Publication Info
- Year
- 1993
- Type
- article
- Volume
- 140
- Issue
- 2
- Pages
- 107-107
- Citations
- 7488
- Access
- Closed
External Links
Social Impact
Social media, news, blog, policy document mentions
Citation Metrics
Cite This
Identifiers
- DOI
- 10.1049/ip-f-2.1993.0015