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Harmonic analysis of isotropic fields on the sphere with arbitrary masks

Grasshorn Gebhardt, Henry S. and Doré, Olivier (2022) Harmonic analysis of isotropic fields on the sphere with arbitrary masks. Journal of Cosmology and Astroparticle Physics, 2022 (1). Art. No. 038. ISSN 1475-7516. doi:10.1088/1475-7516/2022/01/038. https://resolver.caltech.edu/CaltechAUTHORS:20220126-187109700

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Abstract

Obtaining constraints from the largest scales of a galaxy survey is challenging due to the survey mask allowing only partial measurement of large angular modes. This scatters information from the harmonic-space 2-point function away from the diagonal and introduces coupling between modes. In this paper, we derive a custom eigenbasis adapted to any particular survey geometry so that all information is retained on the diagonal. At the expense of a somewhat complex pixel- and selection-function-window, the result is a diagonal 2-point function with a simple shot noise, and a diagonal covariance matrix in the case of a Gaussian random field. We derive the basis on the surface of a sphere, and we use it to construct a 3D spherical Fourier-Bessel power spectrum estimator assuming a survey geometry that is separable in the angular and radial directions.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1088/1475-7516/2022/01/038DOIArticle
https://arxiv.org/abs/2109.13352arXivDiscussion Paper
ORCID:
AuthorORCID
Grasshorn Gebhardt, Henry S.0000-0002-8158-0523
Doré, Olivier0000-0002-5009-7563
Additional Information:© 2022 IOP Publishing Ltd and Sissa Medialab. Received 29 September 2021; Accepted 20 December 2021; Published 20 January 2022. Part of this work was done at Jet Propulsion Laboratory, California Institute of Technology, under a contract with the National Aeronautics and Space Administration. This work was supported by NASA grant 15-WFIRST15-0008 Cosmology with the High Latitude Survey Roman Science Investigation Team (SIT). Henry S. G. Gebhardt’s research was supported by an appointment to the NASA Postdoctoral Program at the Jet Propulsion Laboratory, administered by Universities Space Research Association under contract with NASA.
Funders:
Funding AgencyGrant Number
NASA/JPL/CaltechUNSPECIFIED
NASA15-WFIRST15-0008
NASA Postdoctoral ProgramUNSPECIFIED
Issue or Number:1
DOI:10.1088/1475-7516/2022/01/038
Record Number:CaltechAUTHORS:20220126-187109700
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20220126-187109700
Official Citation:Henry S. Grasshorn Gebhardt and Olivier Doré JCAP01(2022)038
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:113108
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:26 Jan 2022 17:23
Last Modified:26 Jan 2022 17:23

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