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Journal article
Karhunen-Loeve Estimation of the Power Spectrum Parameters from the Angular Distribution of Galaxies in Early Sloan Digital Sky Survey Data
The Astrophysical journal, v 591(1 Part 1), pp 1-11
01 Jul 2003
Abstract
We present measurements of parameters of the three-dimensional power spectrum of galaxy clustering from 222 square degrees of early imaging data in the Sloan Digital Sky Survey (SDSS). The projected galaxy distribution on the sky is expanded over a set of Karhunen-Loeve (KL) 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 three-dimensional power spectrum of galaxies in the SDSS magnitude-limited sample with r* less than 21. Our best estimates are gamma = 0.188 +/- 0.04 and sigma(sub 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 three-dimensional 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.
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Details
- Title
- Karhunen-Loeve Estimation of the Power Spectrum Parameters from the Angular Distribution of Galaxies in Early Sloan Digital Sky Survey Data
- Creators
- Alexander S. Szalay - Johns Hopkins UniversityBhuvnesh Jain - Johns Hopkins UniversityTakahiko Matsubara - Nagoya UniversityRyan Scranton - University of ChicagoMichael S. Vogeley - Drexel UniversityAndrew Connolly - University of PittsburghScott Dodelson - University of ChicagoDaniel Eisenstein - Steward Health Care SystemJoshua A. Frieman - University of ChicagoJames E. Gunn - Princeton UniversitySDSS Collaboration
- Publication Details
- The Astrophysical journal, v 591(1 Part 1), pp 1-11
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Physics
- Web of Science ID
- WOS:000183617400001
- Scopus ID
- 2-s2.0-17744409642
- Other Identifier
- 991019168415204721
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- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Astronomy & Astrophysics