title: Towards denoising XMCD movies of fast magnetization dynamics using extended Kalman filter.
abstract: The Kalman filter is a well-established approach to get information on the time-dependent state of a system from noisy observations. It was developed in the context of the Apollo project to see the deviation of the true trajectory of a rocket from the desired trajectory. Afterwards it was applied to many different systems with small numbers of components of the respective state vector (typically about 10). In all cases the equation of motion for the state vector was known exactly. The fast dissipative magnetization dynamics is often investigated by x-ray magnetic circular dichroism movies (XMCD movies), which are often very noisy. In this situation the number of components of the state vector is extremely large (about 10(5)), and the equation of motion for the dissipative magnetization dynamics (especially the values of the material parameters of this equation) is not well known. In the present paper it is shown by theoretical considerations that - nevertheless - there is no principle problem for the use of the Kalman filter to denoise XMCD movies of fast dissipative magnetization dynamics.
authors.affiliation: Max Planck Institute for Intelligent Systems, Heisenbergstr. 3, 70569 Stuttgart, Germany.
authors.forename: M
authors.initials: M
authors.lastname: Kopp
authors.affiliation: Max Planck Institute for Intelligent Systems, Spemannstr. 41,72076 Tübingen, Germany; Heinrich-Heine University, Institute of Computer Science, Universitaetsstr. 1, 40225 Duesseldorf, Germany.
authors.forename: S
authors.initials: S
authors.lastname: Harmeling
authors.affiliation: Max Planck Institute for Intelligent Systems, Heisenbergstr. 3, 70569 Stuttgart, Germany.
authors.forename: G
authors.initials: G
authors.lastname: Schütz
authors.affiliation: Max Planck Institute for Intelligent Systems, Spemannstr. 41,72076 Tübingen, Germany.
authors.forename: B
authors.initials: B
authors.lastname: Schölkopf
authors.affiliation: Max Planck Institute for Intelligent Systems, Heisenbergstr. 3, 70569 Stuttgart, Germany. Electronic address: faehnle@is.mpg.de.
authors.forename: M
authors.initials: M
authors.lastname: Fähnle
keywords: Denoising; Kalman filter; Magnetization dynamics; XMCD movies