Title
The ensemble Kalman filter and its relations to other nonlinear filters
Abstract
The Ensemble Kalman filter (EnKF) is a standard algorithm in oceanography and meteorology, where it has got thousands of citations. It is in these communities appreciated since it scales much better with state dimension n than the standard Kalman filter (KF). In short, the EnKF propagates ensembles with N state realizations instead of mean values and covariance matrices and thereby avoids the computational and storage burden of working on n x n matrices. Perhaps surprising, very little attention has been devoted to the EnKF in the signal processing community. In an attempt to change this, we present the EnKF in a Kalman filtering context. Furthermore, its application to nonlinear problems is compared to sigma point Kalman filters and the particle filter, so as to reveal new insights and improvements for high-dimensional filtering algorithms in general. A simulation example shows the EnKF performance in a space debris tracking application.
Year
Venue
Keywords
2015
European Signal Processing Conference
Kalman filter,ensemble Kalman filter,sigma point Kalman filter,UKF,particle filter
DocType
ISSN
Citations 
Conference
2076-1465
1
PageRank 
References 
Authors
0.39
7
4
Name
Order
Citations
PageRank
Michael Roth1318.54
Carsten Fritsche215714.72
Gustaf Hendeby321621.37
Fredrik Gustafsson42287281.33