English

Optimal detection of sources on a homogeneous and isotropic background

Astrophysics 2009-11-06 v1

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.

Keywords

Cite

@article{arxiv.astro-ph/0107384,
  title  = {Optimal detection of sources on a homogeneous and isotropic background},
  author = {J. L. Sanz and D. Herranz and E. Martinez-Gonzalez},
  journal= {arXiv preprint arXiv:astro-ph/0107384},
  year   = {2009}
}

Comments

27 pages, 3 figures