Towards denoising XMCD movies of fast magnetization dynamics using extended Kalman filter

2015

Article

ei


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 105), 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.

Author(s): Kopp, M. and Harmeling, S. and Schütz, G. and Schölkopf, B. and Fähnle, M.
Journal: Ultramicroscopy
Volume: 148
Pages: 115-122
Year: 2015
Day: 0

Department(s): Empirical Inference
Bibtex Type: Article (article)

Digital: 0
DOI: 10.1016/j.ultramic.2014.10.001

Links: Web

BibTex

@article{KoppHSSF2014,
  title = {Towards denoising XMCD movies of fast magnetization dynamics using extended Kalman filter},
  author = {Kopp, M. and Harmeling, S. and Sch{\"u}tz, G. and Sch{\"o}lkopf, B. and F{\"a}hnle, M.},
  journal = {Ultramicroscopy},
  volume = {148},
  pages = {115-122},
  year = {2015}
}