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.
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| 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. | |||||||||
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| 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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