Signal source separation and decomposition of the EGRET gamma ray data

Details Signal source separation and decomposition of the EGRET gamma ray data Signal source separation and decomposition of the EGRET gamma ray data

Dec 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004phdt........31m&link_type=abstract

Ph.D dissertation, 2004. 320 pages; United States -- California: University of California, Riverside; 2004. Publication Number:

Astronomy and Astrophysics

Astrophysics

Gamma Rays, Signal Source Separation, Decomposition, Wavelets, Diffuse Emissions

Scientific paper

In 1998, Dixon and collaborators discovered a statistically significant halo of gamma rays in the EGRET data from periods 1 through 4 that comprise observations of the gamma-ray sky from several distinct gamma-ray source distributions. An intensity map for the gamma-ray halo, however, could not be recovered with available statistical methods. Thus, the comparison and evaluation of, for example, dark matter models with the gamma-ray halo was limited.
The dissertation argues that the morphology of gamma rays from a source distribution is distinguishable and can be used as a kind of spatial features signature for describing the source distribution. A new method, referred to as the analysis framework and based on capturing the spatial characteristics typical of gamma-ray source distributions, has been developed for the comparison of astrophysical models of gamma-ray sources with observational data. The method compensates for the difficulties and uncertainties of incorporating measurements into gamma-ray models by forming a model class from the output (e.g., a sky map) of an individual model that can be sampled to form a mean model. The output of the method is a mean model that is an average of typical members of a Besov space whose member functions all share the morphology of the gamma-ray model. The mean model can also be used in traditional hypothesis testing, like that of Mattox, et al. (1996), for the comparison and evaluation of gamma-ray models with the EGRET data.
Results from extensive testing of the analysis framework with simulated data are presented. Results of the application of the analysis framework to the galactic diffuse emission model of Hunter, et al. (1997) are also presented .

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