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- W2950931886 abstract "This work extends the Elsner & Wandelt (2013) iterative method for efficient, preconditioner-free Wiener filtering to cases in which the noise covariance matrix is dense, but can be decomposed into a sum whose parts are sparse in convenient bases. The new method, which uses multiple messenger fields, reproduces Wiener filter solutions for test problems, and we apply it to a case beyond the reach of the Elsner & Wandelt (2013) method. We compute the Wiener filter solution for a simulated Cosmic Microwave Background map that contains spatially-varying, uncorrelated noise, isotropic $1/f$ noise, and large-scale horizontal stripes (like those caused by the atmospheric noise). We discuss simple extensions that can filter contaminated modes or inverse-noise filter the data. These techniques help to address complications in the noise properties of maps from current and future generations of ground-based Microwave Background experiments, like Advanced ACTPol, Simons Observatory, and CMB-S4." @default.
- W2950931886 created "2019-06-27" @default.
- W2950931886 creator A5064966494 @default.
- W2950931886 date "2018-02-05" @default.
- W2950931886 modified "2023-09-24" @default.
- W2950931886 title "Preconditioner-free Wiener filtering with a dense noise matrix" @default.
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- W2950931886 doi "https://doi.org/10.1093/mnras/sty232" @default.
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