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

Artikel i vetenskaplig tidskrift
Författare Vitali Zhaunerchyk
L. J. Frasinski
John H. D. Eland
Raimund Feifel
Publicerad i Physical Review A
Volym 89
Nummer/häfte 5
Sidor 053418
ISSN 1050-2947
Publiceringsår 2014
Publicerad vid Institutionen för fysik (GU)
Sidor 053418
Språk en
Länkar dx.doi.org/10.1103/PhysRevA.89.0534...
https://gup.ub.gu.se/file/144108
Ämnesord DOUBLE-IONIZATION, COINCIDENCE, PHOTOELECTRON, SPECTOSCOPY, REMOVAL, ATOMS, LASER, ION, Optics, Physics, Atomic
Ämneskategorier Atom- och molekylfysik och optik

Sammanfattning

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.

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