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Related papers: Iterative map-making methods for Cosmic Microwave …

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The map-making step of Cosmic Microwave Background data analysis involves linear inversion problems which cannot be performed by a brute force approach for the large timelines of today. We present in this article optimal vector-only…

Astrophysics · Physics 2009-11-07 Xavier Dupac , Martin Giard

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…

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

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

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 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

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

We describe a new technique for turning scans of the microwave sky into intensity maps. The technique is based on a Fourier series analysis and is inspired by the lock-in deconvolution used in experiments which typically sweep the sky…

Astrophysics · Physics 2007-05-23 L. Piccirillo , G. Romeo , R. K. Schaefer , M. Limon

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

High-resolution Maximum Likelihood map-making of the Cosmic Microwave Background is usually performed using Conjugate Gradients with a preconditioner that ignores noise correlations. We here present a new preconditioner that approximates…

Instrumentation and Methods for Astrophysics · Physics 2015-06-17 Sigurd Næss , Thibaut Louis

The cosmic microwave background (CMB) anisotropies are a powerful probe of the early universe, and have largely contributed to establishing the current standard cosmological model. To extract the information encoded in those tiny…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-17 Simon Biquard

An estimation of the sky signal from streams of Time Ordered Data (TOD) acquired by Cosmic Microwave Background (\cmb) experiments is one of the most important steps in the context of \cmb data analysis referred to as the map-making…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-17 Giuseppe Puglisi , Davide Poletti , Giulio Fabbian , Carlo Baccigalupi , Luca Heltai , Radek Stompor

We describe here an iterative method for jointly estimating the noise power spectrum from a scanning experiment's time-ordered data, together with the maximum-likelihood map. We test the robustness of this method on simulated datasets with…

Astrophysics · Physics 2007-05-23 S. Prunet , C. B. Netterfield , E. Hivon , B. P. Crill

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

We consider the imaging of cosmic strings by using Cosmic Microwave Background (CMB) data. Mathematically, we study the inversion of an X-ray transform in Lorentzian geometry, called the light ray transform. The inverse problem is highly…

Numerical Analysis · Mathematics 2024-05-06 Julianne Chung , Lucas Onisk , Yiran Wang

The cosmic microwave background (CMB) is a significant source of knowledge about the origin and evolution of our universe. However, observations of the CMB are contaminated by foreground emissions, obscuring the CMB signal and reducing its…

Machine Learning · Computer Science 2023-02-27 Jadie Adams , Steven Lu , Krzysztof M. Gorski , Graca Rocha , Kiri L. Wagstaff

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

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

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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