On the Kalman Filter error covariance collapse into the unstable subspace

When the Extended Kalman Filter is applied to a chaotic system, the rank of the error covariance matrices, after a sufficiently large number of iterations, reduces to <i>N</i><sup>+</sup> + N<sup>0</sup> where &am...

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Bibliographic Details
Main Authors: A. Trevisan, L. Palatella
Format: Article
Language:English
Published: Copernicus Publications 2011-03-01
Series:Nonlinear Processes in Geophysics
Online Access:http://www.nonlin-processes-geophys.net/18/243/2011/npg-18-243-2011.pdf