Signal and background separation

W. von der Linden, V. Dose, J. Padayachee, V. Prozesky

Research output: Contribution to journalArticleResearchpeer-review

Abstract

In many areas of research the measured spectra consist of a collection of “peaks” — the sought-for signals — which sit on top of an unknown background. The subtraction of the background in a spectrum has been the subject of many investigations and different techniques, varying from filtering to fitting polynomial functions, have been developed. These techniques yield results that are not always satisfactory and often even misleading. Based upon the rules of probability theory, we derive a formalism to separate the background from the signal part of a spectrum in a rigorous and self-consistent manner. We compare the results of the probabilistic approach to those obtained by two commonly used methods in an analysis of particle induced x-ray emission spectra.
Original languageEnglish
Pages (from-to)6527-6534
Number of pages8
JournalPhysical review / E
Volume59
Issue number6
DOIs
Publication statusPublished - 1 Jun 1999

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x ray spectra
subtraction
Probabilistic Approach
polynomials
emission spectra
Subtraction
Probability Theory
Polynomial function
formalism
Filtering
Unknown
Background

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von der Linden, W., Dose, V., Padayachee, J., & Prozesky, V. (1999). Signal and background separation. Physical review / E, 59(6), 6527-6534. https://doi.org/10.1103/PhysRevE.59.6527

Signal and background separation. / von der Linden, W.; Dose, V.; Padayachee, J.; Prozesky, V.

In: Physical review / E, Vol. 59, No. 6, 01.06.1999, p. 6527-6534.

Research output: Contribution to journalArticleResearchpeer-review

von der Linden, W, Dose, V, Padayachee, J & Prozesky, V 1999, 'Signal and background separation' Physical review / E, vol. 59, no. 6, pp. 6527-6534. https://doi.org/10.1103/PhysRevE.59.6527
von der Linden, W. ; Dose, V. ; Padayachee, J. ; Prozesky, V. / Signal and background separation. In: Physical review / E. 1999 ; Vol. 59, No. 6. pp. 6527-6534.
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