Some theoretical and algorithmic ideas in spectral line fitting problems

Statistics – Applications

Scientific paper

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Scientific paper

We take another look at the issue of fitting spectral lines from two different viewpoints.
Firstly, we present a theoretical framework that enables the exploration of spectrometer precisions. The theory enables the discussion of theoretical precision limits to model spectrometers. Some applications of the theory are presented and discussed with reference to the Coronal Diagnostic Spectrometer (CDS) and Solar Ultraviolet Measurements of Emitted Radiation (SUMER) instruments on board the Solar and Heliospheric Observatory (SOHO). Secondly, we discuss the application of genetic and simulated annealing algorithms to line fitting problems in the context of the theoretical framework described above. Such algorithms are of utility in providing unbiased fits in a wide variety of spectra where more traditional fitting routines have difficulty converging. This work is funded via a NASA NRA 01-OSS-01 award.

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