1995/05/23 by Saleem Zaroubi, Zaroubi, Saleem
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Astrophysics (astro-ph) #FOS: Physical sciences #Geophysics and Gravity Measurements #Scientific Research and Discoveries #Statistical and numerical algorithms #astro-ph
paper · pdf · doi:10.48550/arxiv.astro-ph/9505103
To appear in the proceedings of the XXXth MORIOND meeting: "Clustering in the Universe". 6 pages, 4 figures included; uuencoded, compressed PostScript file
arxiv created 1995/05/23 · openalex publication_date 1995/05/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The formalism of Wiener filtering is applied to reconstruct, in terms of spherical harmonics, the projected 4π galaxy distribution of a mock IRAS 1.2 Jy catalog with a `Zone of Avoidance' |b| = 15^∘. The Singular Value Decomposition al gorithm is utilized as an extra-regularizer in order to stabilize the inversion. This case sheds light on the amount of useful information contained in the data, and also suggests a method for obtaining an `optimal' functional basis, based on our \prior knowledge, for the purposes of likelihood analysis and Wiener reconstruction of cosmological data sets. The applicability of such a functional basis for redshift galaxy catalogs is also discussed.