{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/34515"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/34515","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Measurements and implications of the SDSS DR7 galaxy angular power spectrum","abstract":"We calculate the angular power spectrum of galaxies selected from the Sloan Digital Sky Survey (SDSS) Data Release 7 (DR7) by using a quadratic estimation method with KL-compression. The primary data sample includes over 18 million galaxies covering more than 5,700 square degrees after masking areas with bright objects, reddening greater than 0.2 magnitudes, and seeing of more than 1.5 arcseconds. We also construct a volume-limited sample of 3.2 million galaxies in the same area, consisting of galaxies with absolute r-band magnitudes Mr < −21.2 and photometric redshifts z < 0.4. We test for systematic effects by calculating the angular power spectrum on simulated data and by SDSS stripe, and we find that these measurements are minimally affected by seeing and reddening. We calculate the angular power spectrum for ℓ ≤ 200 multipoles by using 40 bands for the full area data, ℓ ≤ 1000 multipoles using 50 bands for individual stripes, and ℓ ≤ 1600 multipoles using 64 bands for a selected area near the North Galactic Pole at high resolution. We also calculate the angular power spectra for the main galaxy sample separated into 3 magnitude bins, as well as the volume-limited sample separated into 2 redshift shells and early- and late-type galaxies to examine the evolution of the angular power spectrum. We determine the theoretical linear angular power spectrum by projecting the 3D power spectrum to two dimensions for a basic comparison to our observational results for the SDSS DR7 main galaxy sample and subsamples separated by magnitude. For our high resolution and volume-limited samples, we generate nonlinear angular power spectra using CAMB nonlinear 3D matter power spectra for our projections. By minimizing the χ2 fit between these data and the theoretical angular power spectra, we measure a fit of Omega_m = 0.31+0.18−0.11 with a linear bias of b = 0.94 ± 0.04 for the entire SDSS DR7 main galaxy sample, Omega_m = 0.267 ± 0.038, Omega_b = 0.045 ± 0.012, and Omega_b = 1.075±0.056 for our high resolution sample, and Omega_m = 0.282±0.026, Omega_b = 0.041±0.020, and b = 1.545 ± 0.057 for our full volume-limited sample. Finally, we measure the relative linear bias between early- and late-type galaxies, and find be/bl = 1.375 ± 0.076.","abstract_html":"We calculate the angular power spectrum of galaxies selected from the Sloan Digital Sky Survey (SDSS) Data Release 7 (DR7) by using a quadratic estimation method with KL-compression. The primary data sample includes over 18 million galaxies covering more than 5,700 square degrees after masking areas with bright objects, reddening greater than 0.2 magnitudes, and seeing of more than 1.5 arcseconds. We also construct a volume-limited sample of 3.2 million galaxies in the same area, consisting of galaxies with absolute r-band magnitudes Mr &lt; −21.2 and photometric redshifts z &lt; 0.4. We test for systematic effects by calculating the angular power spectrum on simulated data and by SDSS stripe, and we find that these measurements are minimally affected by seeing and reddening. We calculate the angular power spectrum for ℓ ≤ 200 multipoles by using 40 bands for the full area data, ℓ ≤ 1000 multipoles using 50 bands for individual stripes, and ℓ ≤ 1600 multipoles using 64 bands for a selected area near the North Galactic Pole at high resolution. We also calculate the angular power spectra for the main galaxy sample separated into 3 magnitude bins, as well as the volume-limited sample separated into 2 redshift shells and early- and late-type galaxies to examine the evolution of the angular power spectrum. We determine the theoretical linear angular power spectrum by projecting the 3D power spectrum to two dimensions for a basic comparison to our observational results for the SDSS DR7 main galaxy sample and subsamples separated by magnitude. For our high resolution and volume-limited samples, we generate nonlinear angular power spectra using CAMB nonlinear 3D matter power spectra for our projections. By minimizing the χ2 fit between these data and the theoretical angular power spectra, we measure a fit of Omega_m = 0.31+0.18−0.11 with a linear bias of b = 0.94 ± 0.04 for the entire SDSS DR7 main galaxy sample, Omega_m = 0.267 ± 0.038, Omega_b = 0.045 ± 0.012, and Omega_b = 1.075±0.056 for our high resolution sample, and Omega_m = 0.282±0.026, Omega_b = 0.041±0.020, and b = 1.545 ± 0.057 for our full volume-limited sample. Finally, we measure the relative linear bias between early- and late-type galaxies, and find be/bl = 1.375 ± 0.076.","abstract_has_math":false,"creators":["Hayes, Brett"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Astronomy","degree_department":null,"school":null,"contributors":["Brunner, Robert J.","Fields, Brian D.","Looney, Leslie W.","Ricker, Paul M."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2012,"date_issued":"2012-09-18T21:23:35Z","date_published":"2012-09-18T21:23:35Z","updated_at":"2026-07-22T22:25:31Z","subjects":["Sloan Digital Sky Survey Data Release 7 (SDSS DR7) Galaxy Angular Power Spectrum"],"languages":["en"],"rights":["Copyright 2012 Brett Hayes"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/34515","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Brunner, Robert J.","Fields, Brian D.","Looney, Leslie W.","Ricker, Paul M."]},{"key":"dc:creator","label":"Author","values":["Hayes, Brett"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2012-09-18T21:23:35Z","2014-09-18T10:01:01Z","2012-08"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Astronomy"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Sloan Digital Sky Survey Data Release 7 (SDSS DR7) Galaxy Angular Power Spectrum"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2012 Brett Hayes"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/34515"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["We calculate the angular power spectrum of galaxies selected from the Sloan Digital Sky Survey (SDSS) Data Release 7 (DR7) by using a quadratic estimation method with KL-compression. The primary data sample includes over 18 million galaxies covering more than 5,700 square degrees after masking areas with bright objects, reddening greater than 0.2 magnitudes, and seeing of more than 1.5 arcseconds. We also construct a volume-limited sample of 3.2 million galaxies in the same area, consisting of galaxies with absolute r-band magnitudes Mr < −21.2 and photometric redshifts z < 0.4. We test for systematic effects by calculating the angular power spectrum on simulated data and by SDSS stripe, and we find that these measurements are minimally affected by seeing and reddening. We calculate the angular power spectrum for ℓ ≤ 200 multipoles by using 40 bands for the full area data, ℓ ≤ 1000 multipoles using 50 bands for individual stripes, and ℓ ≤ 1600 multipoles using 64 bands for a selected area near the North Galactic Pole at high resolution. We also calculate the angular power spectra for the main galaxy sample separated into 3 magnitude bins, as well as the volume-limited sample separated into 2 redshift shells and early- and late-type galaxies to examine the evolution of the angular power spectrum. We determine the theoretical linear angular power spectrum by projecting the 3D power spectrum to two dimensions for a basic comparison to our observational results for the SDSS DR7 main galaxy sample and subsamples separated by magnitude. For our high resolution and volume-limited samples, we generate nonlinear angular power spectra using CAMB nonlinear 3D matter power spectra for our projections. By minimizing the χ2 fit between these data and the theoretical angular power spectra, we measure a fit of Omega_m = 0.31+0.18−0.11 with a linear bias of b = 0.94 ± 0.04 for the entire SDSS DR7 main galaxy sample, Omega_m = 0.267 ± 0.038, Omega_b = 0.045 ± 0.012, and Omega_b = 1.075±0.056 for our high resolution sample, and Omega_m = 0.282±0.026, Omega_b = 0.041±0.020, and b = 1.545 ± 0.057 for our full volume-limited sample. Finally, we measure the relative linear bias between early- and late-type galaxies, and find be/bl = 1.375 ± 0.076.","Item withdrawn by Alexis Thompson (athmpsn1@illinois.edu) on 2012-07-10T21:42:39Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Hayes_Brett.pdf: 2588600 bytes, checksum: dd38d5e286694b084aeddbc132a21e55 (MD5)","Made available in DSpace on 2012-09-18T21:23:35Z (GMT). No. of bitstreams: 2 Hayes_Brett.pdf: 2588620 bytes, checksum: 8b77b4685a767482d2b6f3ea5963558e (MD5) license.txt: 4061 bytes, checksum: 255eb7e0bc07ffecb7fb78cf3db592a3 (MD5)","Item marked as restricted to the 'Administrator' Group (id=1) by Seth Robbins (srobbins@illinois.edu) on 2012-09-18T21:27:16Z Item is restricted until 2014-09-18T21:27:16Z","Restriction data tranferred 2014-07-01T11:35:41-05:00 Original Data Group with Access Administrator Release Date: 2014-09-18 16:27:16 UTC Reason: Author requested closed access (OA after 2yrs) in Vireo ETD system","Limited Restriction Lifted for Item 34789 on 2014-09-18T10:01:01Z."]},{"key":"dc:title","label":"Title","values":["Measurements and implications of the SDSS DR7 galaxy angular power spectrum"]}]}],"canonical_facts":{"dc:contributor":["Brunner, Robert J.","Fields, Brian D.","Looney, Leslie W.","Ricker, Paul M."],"dc:creator":["Hayes, Brett"],"dc:date":["2012-09-18T21:23:35Z","2014-09-18T10:01:01Z","2012-08"],"dc:description":["We calculate the angular power spectrum of galaxies selected from the Sloan Digital Sky Survey (SDSS) Data Release 7 (DR7) by using a quadratic estimation method with KL-compression. The primary data sample includes over 18 million galaxies covering more than 5,700 square degrees after masking areas with bright objects, reddening greater than 0.2 magnitudes, and seeing of more than 1.5 arcseconds. We also construct a volume-limited sample of 3.2 million galaxies in the same area, consisting of galaxies with absolute r-band magnitudes Mr < −21.2 and photometric redshifts z < 0.4. We test for systematic effects by calculating the angular power spectrum on simulated data and by SDSS stripe, and we find that these measurements are minimally affected by seeing and reddening. We calculate the angular power spectrum for ℓ ≤ 200 multipoles by using 40 bands for the full area data, ℓ ≤ 1000 multipoles using 50 bands for individual stripes, and ℓ ≤ 1600 multipoles using 64 bands for a selected area near the North Galactic Pole at high resolution. We also calculate the angular power spectra for the main galaxy sample separated into 3 magnitude bins, as well as the volume-limited sample separated into 2 redshift shells and early- and late-type galaxies to examine the evolution of the angular power spectrum. We determine the theoretical linear angular power spectrum by projecting the 3D power spectrum to two dimensions for a basic comparison to our observational results for the SDSS DR7 main galaxy sample and subsamples separated by magnitude. For our high resolution and volume-limited samples, we generate nonlinear angular power spectra using CAMB nonlinear 3D matter power spectra for our projections. By minimizing the χ2 fit between these data and the theoretical angular power spectra, we measure a fit of Omega_m = 0.31+0.18−0.11 with a linear bias of b = 0.94 ± 0.04 for the entire SDSS DR7 main galaxy sample, Omega_m = 0.267 ± 0.038, Omega_b = 0.045 ± 0.012, and Omega_b = 1.075±0.056 for our high resolution sample, and Omega_m = 0.282±0.026, Omega_b = 0.041±0.020, and b = 1.545 ± 0.057 for our full volume-limited sample. Finally, we measure the relative linear bias between early- and late-type galaxies, and find be/bl = 1.375 ± 0.076.","Item withdrawn by Alexis Thompson (athmpsn1@illinois.edu) on 2012-07-10T21:42:39Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Hayes_Brett.pdf: 2588600 bytes, checksum: dd38d5e286694b084aeddbc132a21e55 (MD5)","Made available in DSpace on 2012-09-18T21:23:35Z (GMT). No. of bitstreams: 2 Hayes_Brett.pdf: 2588620 bytes, checksum: 8b77b4685a767482d2b6f3ea5963558e (MD5) license.txt: 4061 bytes, checksum: 255eb7e0bc07ffecb7fb78cf3db592a3 (MD5)","Item marked as restricted to the 'Administrator' Group (id=1) by Seth Robbins (srobbins@illinois.edu) on 2012-09-18T21:27:16Z Item is restricted until 2014-09-18T21:27:16Z","Restriction data tranferred 2014-07-01T11:35:41-05:00 Original Data Group with Access Administrator Release Date: 2014-09-18 16:27:16 UTC Reason: Author requested closed access (OA after 2yrs) in Vireo ETD system","Limited Restriction Lifted for Item 34789 on 2014-09-18T10:01:01Z."],"dc:identifier":["http://hdl.handle.net/2142/34515"],"dc:language":["en"],"dc:rights":["Copyright 2012 Brett Hayes"],"dc:subject":["Sloan Digital Sky Survey Data Release 7 (SDSS DR7) Galaxy Angular Power Spectrum"],"dc:title":["Measurements and implications of the SDSS DR7 galaxy angular power spectrum"],"thesis:degree_discipline":["Astronomy"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:25:31Z"}