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A new approach for the statistical denoising of Planck interstellar dust polarization data

Blancard, BR-S; Allys, E; Boulanger, F; Levrier, F; Jeffrey, N; (2021) A new approach for the statistical denoising of Planck interstellar dust polarization data. Astronomy & Astrophysics , 649 , Article L18. 10.1051/0004-6361/202140503. Green open access

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Abstract

Dust emission is the main foreground for cosmic microwave background polarization. Its statistical characterization must be derived from the analysis of observational data because the precision required for a reliable component separation is far greater than what is currently achievable with physical models of the turbulent magnetized interstellar medium. This Letter takes a significant step toward this goal by proposing a method that retrieves non-Gaussian statistical characteristics of dust emission from noisy Planck polarization observations at 353 GHz. We devised a statistical denoising method based on wavelet phase harmonics (WPH) statistics, which characterize the coherent structures in non-Gaussian random fields and define a generative model of the data. The method was validated on mock data combining a dust map from a magnetohydrodynamic simulation and Planck noise maps. The denoised map reproduces the true power spectrum down to scales where the noise power is an order of magnitude larger than that of the signal. It remains highly correlated to the true emission and retrieves some of its non-Gaussian properties. Applied to Planck data, the method provides a new approach to building a generative model of dust polarization that will characterize the full complexity of the dust emission. We also release PyWPH, a public Python package, to perform GPU-accelerated WPH analyses on images.

Type: Article
Title: A new approach for the statistical denoising of Planck interstellar dust polarization data
Open access status: An open access version is available from UCL Discovery
DOI: 10.1051/0004-6361/202140503
Publisher version: http://dx.doi.org/10.1051/0004-6361/202140503
Language: English
Additional information: Open Access article, published by EDP Sciences, under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Keywords: dust, extinction / polarization / methods: statistical / cosmic background radiation
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10141385
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