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Optimal detection of sources on a homogeneous and isotropic background

Jul, 2001
27 pages
Published in:
  • Astrophys.J. 552 (2001) 484
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Abstract: (arXiv)
This paper introduces the use of pseudo-filters that optimize the detection/extraction of sources on a background. We assume as a first approach that such sources are described by a spherical (central) profile and that the background is represented by a homogeneous and isotropic random field. We make an n-dimensional treatment making emphasis in astrophysical applications for spectra, images and volumes, for the cases of exponential and Gaussian source profiles and scale-free power spectra to represent the background.