Spectral analysis without knowledge of the line shape function by use of a new numerical procedure

A spectral distribution built up of n components is supposed to be asymmetric in respect to its centre of gravity. It is shown that such a structure can be analysed by a new numerical method, which couples a Fourier integral transformation with an iterative least squares procedure. Knowing the numbe...

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Bibliographic Details
Published inComputer physics communications Vol. 52; no. 2; pp. 187 - 194
Main Authors Damarowsky, M., Guthöhrlein, G.H.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 1989
Elsevier Science
Subjects
Exact sciences and technology
Mathematical methods in physics
Numerical approximation and analysis
Physics
Mathematical function
Mathematical transformation
Numerical calculation
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Summary:A spectral distribution built up of n components is supposed to be asymmetric in respect to its centre of gravity. It is shown that such a structure can be analysed by a new numerical method, which couples a Fourier integral transformation with an iterative least squares procedure. Knowing the number n of components of the structure, only two a priori assumptions concerning the spectral profile of a single component are made: Axial symmetry in respect to the line centres and equality of the components' shape except for an affine transformation of the ordinate values. Three application examples are presented.
ISSN:0010-4655
1879-2944
DOI:10.1016/0010-4655(89)90003-9