Name
Title | ||
|---|---|---|
Statistical Analysis of Kalman Filters by Conversion to Gauss-Helmert Models with Applications to Process Noise Estimation |
Abstract | ||
|---|---|---|
This paper introduces a reformulation of the extended Kalman Filter using the Gauss-Helmert model for least squares estimation. By proving the equivalence of both estimators it is shown how the methods of statistical analysis in least squares estimation can be applied to the prediction and update process in Kalman Filtering. Especially the efficient computation of the reliability (or redundancy) matrix allows the implementation of self supervising systems. As an application an unparameterized method for estimating the variances of the filters process noise is presented. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1109/ICPR.2010.584 | Pattern Recognition |
Keywords | Field | DocType |
Kalman filters,least squares approximations,signal processing,statistical analysis,Gauss-Helmert models,filters process,kalman filters,least squares estimation,process noise estimation,statistical analysis,Signal processing | Least squares,Signal processing,Computer science,Artificial intelligence,Invariant extended Kalman filter,Extended Kalman filter,Mathematical optimization,Fast Kalman filter,Pattern recognition,Algorithm,Kalman filter,Recursive least squares filter,Estimator | Conference |
ISSN | ISBN | Citations |
1051-4651 | 978-1-4244-7542-1 | 3 |
PageRank | References | Authors |
0.47 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Arne Petersen | 1 | 7 | 2.07 |
| Reinhard Koch | 2 | 100 | 11.04 |