KL Estimation of the Power Spectrum Parameters from the Angular Distribution of Galaxies in Early SDSS Data

Szalay, Alexander S.; Pope, Adrian; Kerscher, Martin; Stoughton, Christopher; Matsubara, Takahiko; Hennessy, Greg; Scranton, Ryan; Knapp, Gillian R.; Frieman, Joshua A.; Eisenstein, Daniel; Stebbins, Albert; Loveday, Jon; Connolly, Andrew; Nichol, Robert C.; Peoples, John; Szapudi, Istvan; Sheth, Ravi K.; Rockosi, Constance; Pier, Jeffrey R.; Gunn, James E.; Brinkmann, Jon; Lupton, Robert H.; Scoccimarro, Roman; Hui, Lam; Strauss, Michael A.; Munn, Jeffrey R.; Schlegel, David; Tucker, Douglas L.; Kent, Stephen M.; Annis, James; Lee, Brian C.; Ivezic, Zeljko; Meiksin, Avery; Csabai, Istvan; Vogeley, Michael S.; Jain, Bhuvnesh; Tegmark, Max; Bahcall, Neta A.; Hogg, David W.; Dodelson, Scott; Kunszt, Peter Z.; Zehavi, Idit; Johnston, David; York, Donald G.; Lamb, Don Q.; O'Connell, Liam; Narayanan, Vijay; Fukugita, Masataka; Yanny, Brian

doi:10.1086/375264

Article
Report number	astro-ph/0107419 ; FERMILAB-PUB-01-270-A ; FERMILAB-PUB-2001-270-A
Title	KL Estimation of the Power Spectrum Parameters from the Angular Distribution of Galaxies in Early SDSS Data
Related title	SLOAN DIGITAL SKY SURVEY
Author(s)	Szalay, Alexander S. (Johns Hopkins U.) ; Jain, Bhuvnesh (Johns Hopkins U. ; Pennsylvania U.) ; Matsubara, Takahiko (Nagoya U.) ; Scranton, Ryan (Chicago U., Astron. Astrophys. Ctr. ; Fermilab) ; Vogeley, Michael S. (Drexel U.) ; Connolly, Andrew (Pittsburgh U.) ; Dodelson, Scott (Chicago U., Astron. Astrophys. Ctr. ; Fermilab) ; Eisenstein, Daniel (Arizona U., Astron. Dept. - Steward Observ.) ; Frieman, Joshua A. (Chicago U., Astron. Astrophys. Ctr. ; Fermilab) ; Gunn, James E. (Princeton U. Observ.) ; Hui, Lam (Columbia U.) ; Johnston, David (Chicago U., Astron. Astrophys. Ctr. ; Fermilab) ; Kent, Stephen M. (Fermilab) ; Kerscher, Martin (Johns Hopkins U.) ; Loveday, Jon (Sussex U., Astron. Ctr.) ; Meiksin, Avery (Edinburgh U., Inst. Astron.) ; Narayanan, Vijay (Princeton U. Observ.) ; Nichol, Robert C. (Carnegie Mellon U.) ; O'Connell, Liam (Sussex U., Astron. Ctr.) ; Pope, Adrian (Johns Hopkins U.) ; Scoccimarro, Roman (New York U. ; Princeton, Inst. Advanced Study) ; Sheth, Ravi K. (Fermilab) ; Stebbins, Albert (Fermilab) ; Strauss, Michael A. (Princeton U. Observ.) ; Szapudi, Istvan (Inst. Astron., Honolulu) ; Tegmark, Max (Pennsylvania U.) ; Zehavi, Idit (Fermilab) ; Annis, James (Fermilab) ; Bahcall, Neta A. (Princeton U. Observ.) ; Brinkmann, Jon (Apache Point Observ.) ; Csabai, Istvan (Eotvos U.) ; Fukugita, Masataka (Tokyo U., ICRR) ; Hennessy, Greg (Naval Observ., Wash., D.C.) ; Hogg, David W. (New York U.) ; Ivezic, Zeljko (Princeton U. Observ.) ; Knapp, Gillian R. (Princeton U. Observ.) ; Kunszt, Peter Z. (CERN) ; Lamb, Don Q. (Chicago U., Astron. Astrophys. Ctr.) ; Lee, Brian C. (Fermilab) ; Lupton, Robert H. (Princeton U. Observ.) ; Munn, Jeffrey R. (Naval Observ., Flagstaff) ; Peoples, John (Fermilab) ; Pier, Jeffrey R. (Naval Observ., Flagstaff) ; Rockosi, Constance (Chicago U., Astron. Astrophys. Ctr.) ; Schlegel, David (Princeton U. Observ.) ; Stoughton, Christopher (Fermilab) ; Tucker, Douglas L. (Fermilab) ; Yanny, Brian (Fermilab) ; York, Donald G. (Chicago U., Astron. Astrophys. Ctr.)
Publication	2002
Imprint	20 Jul 2001
Number of pages	25
In:	Astrophys. J. 571 (2002) 191-205
DOI	10.1086/375264
Subject category	Astrophysics and Astronomy
Abstract	We present measurements of parameters of the 3-dimensional power spectrum of galaxy clustering from 222 square degrees of early imaging data in the Sloan Digital Sky Survey. The projected galaxy distribution on the sky is expanded over a set of Karhunen-Loeve eigenfunctions, which optimize the signal-to-noise ratio in our analysis. A maximum likelihood analysis is used to estimate parameters that set the shape and amplitude of the 3-dimensional power spectrum. 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 cosmological constant. We demonstrate that our measurements contain signal from scales at or beyond the peak of the 3D power spectrum. We discuss how the results scale with systematic uncertainties, like the radial selection function. We find that the central values satisfy the analytically estimated scaling relation. We have also explored the effects of evolutionary corrections, various truncations of the KL basis, seeing, sample size and limiting magnitude. We find that the impact of most of these uncertainties stay within the 2-sigma uncertainties of our fiducial result.