Karhunen‐Loeve Estimation of the Power Spectrum Parameters from the Angular Distribution of Galaxies in Early Sloan Digital Sky Survey Data
Author(s) -
Alexander S. Szalay,
Bhuvnesh Jain,
Takahiko Matsubara,
Ryan Scranton,
Michael S. Vogeley,
Andrew J. Connolly,
Scott Dodelson,
Daniel Eisenstein,
Joshua A. Frieman,
James E. Gunn,
Lam Hui,
David Johnston,
S. Kent,
M. Kerscher,
J. Loveday,
Avery Meiksin,
Vijay K. Narayanan,
R. C. Nichol,
Liam O’Connell,
Adrian Pope,
Román Scoccimarro,
Ravi K. Sheth,
Albert Stebbins,
Michael A. Strauss,
István Szapudi,
Max Tegmark,
Idit Zehavi,
James Annis,
Neta A. Bahcall,
J. Brinkmann,
István Csabai,
M. Fukugita,
G. S. Hennessy,
Željko Ivezić,
G. R. Knapp,
Peter Kunszt,
D. Q. Lamb,
Brian Lee,
Robert H. Lupton,
Jeffrey R. Munn,
J. Peoples,
Jeffrey R. Pier,
Constance M. Rockosi,
David J. Schlegel,
Christopher Stoughton,
D. L. Tucker,
B. Yanny,
Donald G. York
Publication year - 2003
Publication title -
the astrophysical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.376
H-Index - 489
eISSN - 1538-4357
pISSN - 0004-637X
DOI - 10.1086/375264
Subject(s) - galaxy , physics , sky , spectral density , astrophysics , scaling , data set , limiting magnitude , magnitude (astronomy) , statistical physics , statistics , mathematics , geometry
We present measurements of parameters of the 3-dimensional power spectrum ofgalaxy clustering from 222 square degrees of early imaging data in the SloanDigital Sky Survey. The projected galaxy distribution on the sky is expandedover a set of Karhunen-Loeve eigenfunctions, which optimize the signal-to-noiseratio in our analysis. A maximum likelihood analysis is used to estimateparameters that set the shape and amplitude of the 3-dimensional powerspectrum. Our best estimates are Gamma=0.188 +/- 0.04 and sigma_8L = 0.915 +/-0.06 (statistical errors only), for a flat Universe with a cosmologicalconstant. We demonstrate that our measurements contain signal from scales at orbeyond the peak of the 3D power spectrum. We discuss how the results scale withsystematic uncertainties, like the radial selection function. We find that thecentral values satisfy the analytically estimated scaling relation. We havealso explored the effects of evolutionary corrections, various truncations ofthe KL basis, seeing, sample size and limiting magnitude. We find that theimpact of most of these uncertainties stay within the 2-sigma uncertainties ofour fiducial result.Comment: Fig 1 postscript problem correcte
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom