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The map-making process of Cosmic Microwave Background data involves linear inversion problems which cannot be performed by a brute force approach for the large timelines of most modern experiments. We present optimal iterative map-making…

Astrophysics · Physics 2010-12-13 Xavier Dupac

The next generation of CMB experiments can measure cosmological parameters with unprecedented accuracy - in principle. To achieve this in practice when faced with such gigantic data sets, elaborate data analysis methods are needed to make…

Astrophysics · Physics 2009-10-28 Max Tegmark

Estimating the cosmological microwave background is of utmost importance for cosmology. However, its estimation from full-sky surveys such as WMAP or more recently Planck is challenging: CMB maps are generally estimated via the application…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 J. Bobin , J. -L. Starck , F. Sureau , J. Fadili

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…

Cosmology and Nongalactic Astrophysics · Physics 2018-02-21 Kevin M. Huffenberger

In order to draw scientific conclusions from observations of cosmic microwave background (CMB) polarization, it is necessary to separate the contributions of the E and B components of the data. For data with incomplete sky coverage, there…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-06 Emory F. Bunn , Benjamin Wandelt

We present the application of a new method to compute the Wiener filter solution of large and complex data sets. Contrary to the iterative solvers usually employed in signal processing, our algorithm does not require the use of…

Cosmology and Nongalactic Astrophysics · Physics 2013-01-16 Franz Elsner , Benjamin D. Wandelt

This work describes Cosmic Microwave Background (CMB) data analysis algorithms and their implementations, developed to produce a pixelized map of the sky and a corresponding pixel-pixel noise correlation matrix from time ordered data for a…

We derive an optimal linear filter to suppress the noise from the COBE DMR sky maps for a given power spectrum. We then apply the filter to the first-year DMR data, after removing pixels within $20^\circ$ of the Galactic plane from the…

Astrophysics · Physics 2009-10-22 Emory F. Bunn , Karl B. Fisher , Yehuda Hoffman , Ofer Lahav , Joseph Silk , Saleem Zaroubi

Estimation of the sky signal from sequences of time ordered data is one of the key steps in Cosmic Microwave Background (CMB) data analysis, commonly referred to as the map-making problem. Some of the most popular and general methods…

Cosmology and Nongalactic Astrophysics · Physics 2014-12-16 Mikolaj Szydlarski , Laura Grigori , Radek Stompor

We present an augmented version of our dual messenger algorithm for spin field reconstruction on the sphere, while accounting for highly non-trivial and realistic noise models such as modulated correlated noise. We also describe an…

Cosmology and Nongalactic Astrophysics · Physics 2019-10-01 Doogesh Kodi Ramanah , Guilhem Lavaux , Benjamin D. Wandelt

We apply a messenger field method to solve the linear minimum-variance mapmaking equation in the context of Cosmic Microwave Background (CMB) observations. In simulations, the method produces sky maps that converge significantly faster than…

Instrumentation and Methods for Astrophysics · Physics 2018-01-24 Kevin M. Huffenberger , Sigurd K. Næss

The WMAP satellite has made available high quality maps of the sky in five frequency bands ranging from 22 to 94 GHz, with the main scientific objective of studying the anisotropies of the Cosmic Microwave Background (CMB). These maps,…

Astrophysics · Physics 2009-11-13 J. Delabrouille , J. -F. Cardoso , M. Le Jeune , M. Betoule , G. Fay , F. Guilloux

The accurate reconstruction of Cosmic Microwave Background (CMB) maps and the measurement of its power spectrum are crucial for studying the early universe. In this paper, we implement a convolutional neural network to apply the Wiener…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-07 Belén Costanza , Claudia G. Scóccola , Matías Zaldarriaga

We describe a new map-making code for cosmic microwave background (CMB) observations. It implements fast algorithms for convolution and transpose convolution of two functions on the sphere (Wandelt & G\'{o}rski 2001). Our code can account…

Astrophysics · Physics 2009-11-10 Charmaine Armitage , Benjamin D. Wandelt

The atmosphere is one of the most important contamination sources in the ground-based Cosmic Microwave Background (CMB) observations. In this paper, we study three kinds of filters, which are polynomial filter, high-pass filter, and Wiener…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-26 Yi-Wen Wu , SiYu Li , Yang Liu , Zirui Zhang , Hao Liu , Hong Li

In the context of Cosmic Microwave Background data analysis, we study the solution to the equation that transforms scanning data into a map. As originally suggested in "messenger" methods for solving linear systems, we split the noise…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-08 Bai-Chiang Chiang , Kevin M. Huffenberger

We present a new approach to calculate the Wiener filter solution of general data sets. It is trivial to implement, flexible, numerically absolutely stable, and guaranteed to converge. Most importantly, it does not require an ingenious…

Cosmology and Nongalactic Astrophysics · Physics 2013-01-09 Franz Elsner , Benjamin D. Wandelt

To study the early Universe, it is essential to estimate cosmological parameters with high accuracy, which depends on the optimal reconstruction of Cosmic Microwave Background (CMB) maps and the measurement of their power spectrum. In this…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-10 Belén Costanza , Claudia G. Scóccola , Matías Zaldarriaga

The presence of astrophysical emissions in microwave observations forces us to perform component separation to extract the Cosmic Microwave Background (CMB) signal. However, even in the most optimistic cases, there are still strongly…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-26 C. Gimeno-Amo , E. Martínez-González , R. B. Barreiro
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