Paper Info
Title
Square root filtering via covariance and information eigenfactors.
Abstract
Two new square root Kalman filtering algorithms are presented. Both algorithms are based on the spectral V − Λ of the covariance matrix where V is the matrix whose columns are the eigenvectors of the covariance and Λ is the diagonal matrix of its eigenvalues. The algorithms use the covariance mode in the time propagation stage and the information mode in the measurement update stage. This switch between modes, which is trivial in the V − Λ representation, increases the efficiency of the algorithms. In the first algorithm, which is a continuous/discrete one, the V and Λ 1 2 matrices are propagated in time in a continuous manner, while the measurement update is a discrete time procedure. In the second algorithm, which is a discrete/discrete one, the time propagation of the V − Λ 1 2 factors is performed in discrete time too, using a procedure which is similar to the one used for the discrete measurement update. The discrete propagation and the measurement update are based on singular value decomposition algorithms. The square root nature of the algorithms is demonstrated numerically through a typical example. While promising all the virtues of square root routines, the V − Λ filters are also characterized by their ability to exhibit singularities as they occur.
Year
DOI
Venue
1986
10.1016/0005-1098(86)90070-1
Automatica
Keywords
Field
DocType
(Square root filtering),Kalman filters,filtering,state estimation,recursive algorithms,numerical methods,eigenvalues,decomposition,signal processing
Singular value decomposition,Mathematical optimization,Matrix (mathematics),Control theory,Discrete time and continuous time,Covariance matrix,Diagonal matrix,Mathematics,Eigenvalues and eigenvectors,Discrete measure,Covariance
Journal
Volume
Issue
ISSN
22
5
0005-1098
Citations 
PageRank 
References 
0
0.34
1
Authors
2
Name
Order
Citations
PageRank
Y. Oshman1152.75
I Y Bar-Itzhack200.34