Geometric biases in power-spectrum measurements

dc.citation.doi10.1093/mnras/stv1568
dc.citation.epage3709
dc.citation.issn0035-8711
dc.citation.issue4
dc.citation.jtitleMonthly Notices of the Royal Astronomical Society
dc.citation.spage3704
dc.citation.volume452
dc.contributor.authorSamushia, Lado
dc.contributor.authorBranchini, E.
dc.contributor.authorPercival, W. J.
dc.contributor.authoreidlado
dc.date.accessioned2016-04-06T15:11:43Z
dc.date.available2016-04-06T15:11:43Z
dc.date.issued2015-10-01
dc.date.published2015
dc.descriptionCitation: Samushia, L., Branchini, E., & Percival, W. J. (2015). Geometric biases in power-spectrum measurements. Monthly Notices of the Royal Astronomical Society, 452(4), 3704-3709. doi:10.1093/mnras/stv1568
dc.descriptionThe observed distribution of galaxies has local transverse isotropy around the line of sight (LOS) with respect to the observer. The difference in the statistical clustering signal along and across the LOS encodes important information about the geometry of the Universe, its expansion rate and the rate of growth of structure within it. Because the LOS varies across a survey, the standard fast Fourier transform (FFT) based methods of measuring the anisotropic power spectrum (APS) cannot be used for surveys with wide observational footprint, other than to measure the monopole moment. We derive a simple analytic formula to quantify the bias for higher order Legendre moments, and we demonstrate that it is scale independent for a simple survey model, and depends only on the observed area. We derive a similar numerical correction formula for recently proposed alternative estimators of the APS that are based on summing over galaxies rather than using an FFT, and can therefore incorporate a varying LOS. We demonstrate that their bias depends on scale but not on the observed area. For a quadrupole the bias is always less than 1 per cent for k > 0.01 h Mpc(-1) at z > 0.32. For a hexadecapole the bias is below 5 per cent for k > 0.05 h Mpc(-1) at z > 0.32.
dc.identifier.urihttp://hdl.handle.net/2097/32457
dc.relation.urihttps://doi.org/10.1093/mnras/stv1568
dc.rightsThis Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectMethods: Data Analysis
dc.subjectMethods: Numerical
dc.subjectGalaxies: Statistics
dc.subjectDark
dc.subjectEnergy
dc.subjectDistance Scale
dc.titleGeometric biases in power-spectrum measurements
dc.typeArticle

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