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Optimal detection of sources on a homogeneous and isotropic background

J. L. Sanz·D. Herranz·E. Martinez-Gonzalez
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Abstract

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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J. L. Sanz, D. Herranz, E. Martinez-Gonzalez. 2001-07-19. Optimal detection of sources on a homogeneous and isotropic background. https://doi.org/10.1086/320550

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