An alternative approach to spectrum base line estimation

Details An alternative approach to spectrum base line estimation An alternative approach to spectrum base line estimation

May 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006pobeo..80...81b&link_type=abstract

Publications of the Astronomical Observatory of Belgrade, Vol. 80, p. 81-84

Astronomy and Astrophysics

Astronomy

Scientific paper

We present a new form of merit function which measures agreement between a given data set and the model function with a particular choice of parameters. Proposed merit function is functional compound of recently introduced Close Points Concept and ordinary least-squares approach. Essentially it measures a density of ordinary least-squares for an arbitrary data set. New merit function is insensitive on outlying points and can be applied to data sets containing no more than few points. Specifics of the proposed merit function, including scale independent behavior, are detailed in several examples. We illustrate efficiency of the presented merit function on the common problem of finding the base line of a spectrum. In particular, when the base line represents continuum radiation, estimation of thermodynamic temperature is considered.

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