Optimal detection of sources on a homogeneous and isotropic background

Details Optimal detection of sources on a homogeneous and isotropic background Optimal detection of sources on a homogeneous and isotropic background

2001-07-19

arxiv.org/abs/astro-ph/0107384v1

2001 ApJ 552, 484

Astronomy and Astrophysics

Astrophysics

27 pages, 3 figures

Scientific paper

10.1086/320550

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.

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