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- W3202480327 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." @default.
- W3202480327 created "2021-10-11" @default.
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- W3202480327 date "2022-01-01" @default.
- W3202480327 modified "2023-09-26" @default.
- W3202480327 title "Harmonic analysis of isotropic fields on the sphere with arbitrary masks" @default.
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- W3202480327 doi "https://doi.org/10.1088/1475-7516/2022/01/038" @default.
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