1994/06/05 by O. Lahav, Ofer Lahav, Lahav, Ofer
Computer Science · Mathematics · Physics and Astronomy · #Astrophysics (astro-ph) #FOS: Physical sciences #Gaussian Processes and Bayesian Inference #Scientific Research and Discoveries #Statistical and numerical algorithms #astro-ph
paper · pdf · doi:10.48550/arxiv.astro-ph/9406011
to appear in the Proceedings of the 4th DAEC meeting (Meudon, Jan 1994) `Unveiling Large Scale Structures behind the Milky-Way', eds. C. Balkowski \& R.C. Kraan-Korteweg, in press (A.S.P.), 13 pages + 4 figures, uuencoded postscript file, IoA-ZOA2
arxiv created 1994/06/05 · openalex publication_date 1994/06/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A statistical method for reconstructing large scale structure behind the Zone of Avoidance is presented. It also corrects for shot-noise and for redshift distortion in galaxy surveys. The galaxy distribution is expanded in an orthogonal set of spherical harmonics. We show that in the framework of Bayesian statistics and Gaussian random fields the 4 π harmonics can be recovered and the shot-noise can be suppressed, giving the optimal picture of the underlying density field. The correction factor from observed to reconstructed harmonics turns out to be the well-known Wiener filter (the ratio of signal to signal+noise), which is also derived by requiring minimum variance. We apply the method to the 1.2 Jy IRAS survey. A reconstruction of the projected galaxy distribution confirms the connectivity of the Supergalactic Plane across the Galactic Plane (at Galactic longitude l ∼ 135o and l ∼ 315o) and the Puppis cluster behind the Galactic Plane ( l ∼ 240o). The method is extended to 3-D, and is used to recover from the 1.2 Jy redshift survey the density, velocity and potential fields in the local universe.