Open AccessComparing filters for the detection of point sources
Author(s) -
Barreiro R. B.,
Sanz J. L.,
Herranz D.,
MartínezGonzález E.
Publication year - 2003
Publication title -
monthly notices of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.058
H-Index - 383
eISSN - 1365-2966
pISSN - 0035-8711
DOI - 10.1046/j.1365-8711.2003.06520.x
Subject(s) - physics , spurious relationship , gaussian , isotropy , wavelet , gaussian random field , matched filter , statistical physics , spectral density , point (geometry) , algorithm , statistics , gaussian process , optics , artificial intelligence , detector , computer science , mathematics , geometry , quantum mechanics
This paper considers filters (the Mexican hat wavelet, the matched and the scale‐adaptive filters) that optimize the detection/separation of point sources on a background. We make a one‐dimensional treatment; we assume that the sources have a Gaussian profile, i.e. τ( x ) = e − x 2 / 2 R 2, and a background modelled by a homogeneous and isotropic Gaussian random field, characterized by a power spectrum P ( q ) ∝ q −γ , γ≥ 0 . Local peak detection is used after filtering. Then, the Neyman–Pearson criterion is used to define the confidence level for detections and a comparison of filters is performed based on the number of spurious and true detections. We have performed numerical simulations to test theoretical ideas and conclude that the results of the simulations agree with the analytical results.