To the top

Page Manager: Webmaster
Last update: 9/11/2012 3:13 PM

Tell a friend about this page
Print version

Theory and simulations of… - University of Gothenburg, Sweden Till startsida
Sitemap
To content Read more about how we use cookies on gu.se

Theory and simulations of covariance mapping in multiple dimensions for data analysis in high-event-rate experiments

Journal article
Authors Vitali Zhaunerchyk
L. J. Frasinski
John H. D. Eland
Raimund Feifel
Published in Physical Review A
Volume 89
Issue 5
Pages 053418
ISSN 1050-2947
Publication year 2014
Published at Department of Physics (GU)
Pages 053418
Language en
Links dx.doi.org/10.1103/PhysRevA.89.0534...
https://gup.ub.gu.se/file/144108
Keywords DOUBLE-IONIZATION, COINCIDENCE, PHOTOELECTRON, SPECTOSCOPY, REMOVAL, ATOMS, LASER, ION, Optics, Physics, Atomic
Subject categories Atom and Molecular Physics and Optics

Abstract

Multidimensional covariance analysis and its validity for correlation of processes leading to multiple products are investigated from a theoretical point of view. The need to correct for false correlations induced by experimental parameters which fluctuate from shot to shot, such as the intensity of self-amplified spontaneous emission x-ray free-electron laser pulses, is emphasized. Threefold covariance analysis based on simple extension of the two-variable formulation is shown to be valid for variables exhibiting Poisson statistics. In this case, false correlations arising from fluctuations in an unstable experimental parameter that scale linearly with signals can be eliminated by threefold partial covariance analysis, as defined here. Fourfold covariance based on the same simple extension is found to be invalid in general. Where fluctuations in an unstable parameter induce nonlinear signal variations, a technique of contingent covariance analysis is proposed here to suppress false correlations. In this paper we also show a method to eliminate false correlations associated with fluctuations of several unstable experimental parameters.

Page Manager: Webmaster|Last update: 9/11/2012
Share:

The University of Gothenburg uses cookies to provide you with the best possible user experience. By continuing on this website, you approve of our use of cookies.  What are cookies?