2003/02/12 by R. B. Barreiro, J. L. Sanz, D. Herranz +1 · 2 citations
Computer Science · Engineering · Physics and Astronomy · #Direction-of-Arrival Estimation Techniques #Gaussian #Gaussian random field #Homogeneous #Isotropy #Matched filter #Microwave Imaging and Scattering Analysis #Point (geometry) #Radar Systems and Signal Processing #Spectral density #Spectrum (functional analysis) #Spurious relationship #astro-ph
paper · pdf · doi:10.1046/j.1365-8711.2003.06520.x
published as Mon.Not.Roy.Astron.Soc. 342 (2003) 119 · 17 pages, 17 figures, accepted for publication in MNRAS
arxiv created 2003/02/12 · openalex publication_date 2003/06/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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. , 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.