A method for fitting two overlapping Gaussian peaks without an iterative
procedure is presented. The method utilizes a linearization technique of
the sum of the Gaussian functions by the use of the difference equation.
The validity of the method has been tested against pseudo-experimental
spectra and comparison with the conventional non-linear least-squares
method has been made.
[Show abstract][Hide abstract] ABSTRACT: The methods used for mapping extended objects can also be applied to
star counting, provided that the star density is not too high. The
method considered for star counting in the present investigation is more
reliable than other methods using similar principles, because the point
source response is actually measured, and any beam asymmetries or
noninteger chop/sampling-interval ratios are unimportant. The method has
been tested by analyzing some data in parallel with the 'manual'
deconvolution performed by Eaton et al. (1982). Only a modest
improvement is obtained for uncrowded fields, but the method shows a
clear advantage in crowded fields such as those located near the
Galactic Center. A major advantage of the considered method of infrared
star counting is that a large amount of data can be easily processed in
a completely consistent way.
Monthly Notices of the Royal Astronomical Society 04/1982; 199:483-491. DOI:10.1093/mnras/199.3.483 · 5.11 Impact Factor
[Show abstract][Hide abstract] ABSTRACT: Extracting parameters iteratively from two component exponential decays requires initial guesses. These are avoided if the treatment is made linear. In practice it is found that the method is badly biased or fails where it is most necessary, i.e., where the decay rates (lifetimes) are close. The origins of the difficulties are detailed and explained with the aid of analyses of simulated decays. Ways of broadening the regions of applicability of the non-iterative method are given.
Nuclear Instruments and Methods in Physics Research 10/1982; 201(2-3-201):403-409. DOI:10.1016/0167-5087(82)90572-5
[Show abstract][Hide abstract] ABSTRACT: A method has been developed of distinguishing the spectral peaks detected as local maxima on a measured curve from the noise-induced artefacts when peak positions are not known beforehand. The method is based on a derivation of the distribution function for local maxima of the random signal component in the dependence on their relative heights. The resulting probability of a 'noise peak' being formed within a given number of experimental points determines the mean statistical authenticity of any detected maximum. Examples are given for white Gaussian noise, for this noise filtered by the Savitzky-Golay algorithm and also an application to Auger electron spectra.
Journal of Physics E Scientific Instruments 04/1987; 20(4):378-382. DOI:10.1088/0022-3735/20/4/002 · 1.35 Impact Factor
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