Karhunen-Loève estimation of the power spectrum parameters from the angular distribution of galaxies in early Sloan digital sky survey data

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

Research output: Contribution to journalArticle

56 Citations (Scopus)

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-Loève (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* <21. Our best estimates are γ = 0.188 ± 0.04 and σ8L = 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 σ uncertainties of our fiducial result.

Original languageEnglish
Pages (from-to)1-11
Number of pages11
JournalAstrophysical Journal
Volume591
Issue number1 I
DOIs
Publication statusPublished - Jul 1 2003

Fingerprint

power spectra
angular distribution
galaxies
maximum likelihood analysis
signal measurement
estimates
guy wires
signal-to-noise ratio
sky
eigenvectors
signal to noise ratios
universe
scaling
approximation
distribution
parameter
analysis
effect

Keywords

  • Cosmology: theory
  • Galaxies: clusters: general
  • Galaxies: formation
  • Large-scale structure of universe
  • Methods: data analysis
  • Methods: statistical

ASJC Scopus subject areas

  • Space and Planetary Science
  • Nuclear and High Energy Physics

Cite this

Szalay, A. S., Jain, B., Matsubara, T., Scranton, R., Vogeley, M. S., Connolly, A., ... York, D. G. (2003). Karhunen-Loève estimation of the power spectrum parameters from the angular distribution of galaxies in early Sloan digital sky survey data. Astrophysical Journal, 591(1 I), 1-11. https://doi.org/10.1086/375264

Karhunen-Loève estimation of the power spectrum parameters from the angular distribution of galaxies in early Sloan digital sky survey data. / Szalay, Alexander S.; Jain, Bhuvnesh; Matsubara, Takahiko; Scranton, Ryan; Vogeley, Michael S.; Connolly, Andrew; Dodelson, Scott; Eisenstein, Daniel; Frieman, Joshua A.; Gunn, James E.; Hui, Lam; Johnston, David; Kent, Stephen; Kerscher, Martin; Loveday, Jon; Meiksin, Avery; Narayanan, Vijay; Nichol, Robert C.; O'Connell, Liam; Pope, Adrian; Scoccimarro, Roman; Sheth, Ravi K.; Stebbins, Albert; Strauss, Michael A.; Szapudi, I.; Tegmark, Max; Zehavi, Idit; Annis, James; Bahcall, Neta; Brinkmann, Jon; Csabai, I.; Fukugita, Masataka; Hennessy, Greg; Ivezic, Zeljko; Knapp, Gillian R.; Kunszt, Peter Z.; Lamb, Don Q.; Lee, Brian C.; Lupton, Robert H.; Munn, Jeffrey R.; Peoples, John; Pier, Jeffrey R.; Rockosi, Constance; Schlegel, David; Stoughton, Christopher; Tucker, Douglas L.; Yanny, Brian; York, Donald G.

In: Astrophysical Journal, Vol. 591, No. 1 I, 01.07.2003, p. 1-11.

Research output: Contribution to journalArticle

Szalay, AS, Jain, B, Matsubara, T, Scranton, R, Vogeley, MS, Connolly, A, Dodelson, S, Eisenstein, D, Frieman, JA, Gunn, JE, Hui, L, Johnston, D, Kent, S, Kerscher, M, Loveday, J, Meiksin, A, Narayanan, V, Nichol, RC, O'Connell, L, Pope, A, Scoccimarro, R, Sheth, RK, Stebbins, A, Strauss, MA, Szapudi, I, Tegmark, M, Zehavi, I, Annis, J, Bahcall, N, Brinkmann, J, Csabai, I, Fukugita, M, Hennessy, G, Ivezic, Z, Knapp, GR, Kunszt, PZ, Lamb, DQ, Lee, BC, Lupton, RH, Munn, JR, Peoples, J, Pier, JR, Rockosi, C, Schlegel, D, Stoughton, C, Tucker, DL, Yanny, B & York, DG 2003, 'Karhunen-Loève estimation of the power spectrum parameters from the angular distribution of galaxies in early Sloan digital sky survey data', Astrophysical Journal, vol. 591, no. 1 I, pp. 1-11. https://doi.org/10.1086/375264
Szalay, Alexander S. ; Jain, Bhuvnesh ; Matsubara, Takahiko ; Scranton, Ryan ; Vogeley, Michael S. ; Connolly, Andrew ; Dodelson, Scott ; Eisenstein, Daniel ; Frieman, Joshua A. ; Gunn, James E. ; Hui, Lam ; Johnston, David ; Kent, Stephen ; Kerscher, Martin ; Loveday, Jon ; Meiksin, Avery ; Narayanan, Vijay ; Nichol, Robert C. ; O'Connell, Liam ; Pope, Adrian ; Scoccimarro, Roman ; Sheth, Ravi K. ; Stebbins, Albert ; Strauss, Michael A. ; Szapudi, I. ; Tegmark, Max ; Zehavi, Idit ; Annis, James ; Bahcall, Neta ; Brinkmann, Jon ; Csabai, I. ; Fukugita, Masataka ; Hennessy, Greg ; Ivezic, Zeljko ; Knapp, Gillian R. ; Kunszt, Peter Z. ; Lamb, Don Q. ; Lee, Brian C. ; Lupton, Robert H. ; Munn, Jeffrey R. ; Peoples, John ; Pier, Jeffrey R. ; Rockosi, Constance ; Schlegel, David ; Stoughton, Christopher ; Tucker, Douglas L. ; Yanny, Brian ; York, Donald G. / Karhunen-Loève estimation of the power spectrum parameters from the angular distribution of galaxies in early Sloan digital sky survey data. In: Astrophysical Journal. 2003 ; Vol. 591, No. 1 I. pp. 1-11.
@article{8b973f244c0148849e3eeb5de67bbae9,
title = "Karhunen-Lo{\`e}ve estimation of the power spectrum parameters from the angular distribution of galaxies in early Sloan digital sky survey data",
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-Lo{\`e}ve (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* <21. Our best estimates are γ = 0.188 ± 0.04 and σ8L = 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 σ uncertainties of our fiducial result.",
keywords = "Cosmology: theory, Galaxies: clusters: general, Galaxies: formation, Large-scale structure of universe, Methods: data analysis, Methods: statistical",
author = "Szalay, {Alexander S.} and Bhuvnesh Jain and Takahiko Matsubara and Ryan Scranton and Vogeley, {Michael S.} and Andrew Connolly and Scott Dodelson and Daniel Eisenstein and Frieman, {Joshua A.} and Gunn, {James E.} and Lam Hui and David Johnston and Stephen Kent and Martin Kerscher and Jon Loveday and Avery Meiksin and Vijay Narayanan and Nichol, {Robert C.} and Liam O'Connell and Adrian Pope and Roman Scoccimarro and Sheth, {Ravi K.} and Albert Stebbins and Strauss, {Michael A.} and I. Szapudi and Max Tegmark and Idit Zehavi and James Annis and Neta Bahcall and Jon Brinkmann and I. Csabai and Masataka Fukugita and Greg Hennessy and Zeljko Ivezic and Knapp, {Gillian R.} and Kunszt, {Peter Z.} and Lamb, {Don Q.} and Lee, {Brian C.} and Lupton, {Robert H.} and Munn, {Jeffrey R.} and John Peoples and Pier, {Jeffrey R.} and Constance Rockosi and David Schlegel and Christopher Stoughton and Tucker, {Douglas L.} and Brian Yanny and York, {Donald G.}",
year = "2003",
month = "7",
day = "1",
doi = "10.1086/375264",
language = "English",
volume = "591",
pages = "1--11",
journal = "Astrophysical Journal",
issn = "0004-637X",
publisher = "IOP Publishing Ltd.",
number = "1 I",

}

TY - JOUR

T1 - Karhunen-Loève estimation of the power spectrum parameters from the angular distribution of galaxies in early Sloan digital sky survey data

AU - Szalay, Alexander S.

AU - Jain, Bhuvnesh

AU - Matsubara, Takahiko

AU - Scranton, Ryan

AU - Vogeley, Michael S.

AU - Connolly, Andrew

AU - Dodelson, Scott

AU - Eisenstein, Daniel

AU - Frieman, Joshua A.

AU - Gunn, James E.

AU - Hui, Lam

AU - Johnston, David

AU - Kent, Stephen

AU - Kerscher, Martin

AU - Loveday, Jon

AU - Meiksin, Avery

AU - Narayanan, Vijay

AU - Nichol, Robert C.

AU - O'Connell, Liam

AU - Pope, Adrian

AU - Scoccimarro, Roman

AU - Sheth, Ravi K.

AU - Stebbins, Albert

AU - Strauss, Michael A.

AU - Szapudi, I.

AU - Tegmark, Max

AU - Zehavi, Idit

AU - Annis, James

AU - Bahcall, Neta

AU - Brinkmann, Jon

AU - Csabai, I.

AU - Fukugita, Masataka

AU - Hennessy, Greg

AU - Ivezic, Zeljko

AU - Knapp, Gillian R.

AU - Kunszt, Peter Z.

AU - Lamb, Don Q.

AU - Lee, Brian C.

AU - Lupton, Robert H.

AU - Munn, Jeffrey R.

AU - Peoples, John

AU - Pier, Jeffrey R.

AU - Rockosi, Constance

AU - Schlegel, David

AU - Stoughton, Christopher

AU - Tucker, Douglas L.

AU - Yanny, Brian

AU - York, Donald G.

PY - 2003/7/1

Y1 - 2003/7/1

N2 - 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-Loève (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* <21. Our best estimates are γ = 0.188 ± 0.04 and σ8L = 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 σ uncertainties of our fiducial result.

AB - 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-Loève (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* <21. Our best estimates are γ = 0.188 ± 0.04 and σ8L = 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 σ uncertainties of our fiducial result.

KW - Cosmology: theory

KW - Galaxies: clusters: general

KW - Galaxies: formation

KW - Large-scale structure of universe

KW - Methods: data analysis

KW - Methods: statistical

UR - http://www.scopus.com/inward/record.url?scp=17744409642&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=17744409642&partnerID=8YFLogxK

U2 - 10.1086/375264

DO - 10.1086/375264

M3 - Article

AN - SCOPUS:17744409642

VL - 591

SP - 1

EP - 11

JO - Astrophysical Journal

JF - Astrophysical Journal

SN - 0004-637X

IS - 1 I

ER -