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The polarization decomposition of arbitrary binary-input memoryless channels (BMCs) is studied in this work. By introducing the polarization factor (PF), defined in terms of the conditional entropy of the channel output under various input…

Information Theory · Computer Science 2025-05-06 Tianfu Qi , Jun Wang

We study a strategy to determine miscalibrated polarization angles of cosmic microwave background (CMB) experiments using the observed $EB$ polarization power spectra of CMB and Galactic foreground emission. We apply the methodology of…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-30 Yuto Minami

Using Planck polarization data, we search for and constrain spatial variations of the polarized dust foreground for cosmic microwave background (CMB) observations, specifically in its spectral index, $\beta_d$. Failure to account for such…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-24 Keisuke Osumi , Janet L. Weiland , Graeme E. Addison , Charles L. Bennett

We reconstruct shear maps and angular power spectra from simulated weakly lensed total intensity (TT) and polarised (EB) maps of the Cosmic Microwave Background (CMB) anisotropies, obtained using Born approximated ray-tracing through the…

Cosmology and Nongalactic Astrophysics · Physics 2014-03-04 Claudia Antolini , Yabebal Fantaye , Matteo Martinelli , Carmelita Carbone , Carlo Baccigalupi

One of the most intriguing hints of a departure from the standard cosmological model is a large-scale dipolar power asymmetry in the cosmic microwave background (CMB). If not a statistical fluke, its origins must lie in the modulation of…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-23 J. P. Zibin , D. Contreras

A framework is proposed that allows for a joint description and optimization of both binary polar coding and the multilevel coding (MLC) approach for $2^m$-ary digital pulse-amplitude modulation (PAM). The conceptual equivalence of polar…

Information Theory · Computer Science 2016-11-17 Mathis Seidl , Andreas Schenk , Clemens Stierstorfer , Johannes B. Huber

One of the primary challenges facing upcoming CMB polarization experiments aiming to measure the inflationary B-mode signal is the removal of polarized foregrounds. The thermal dust foreground is often modeled as a single modified…

Cosmology and Nongalactic Astrophysics · Physics 2022-08-31 Danielle Sponseller , Alan Kogut

The standard $\Lambda$CDM model has been highly successful in describing cosmic microwave background (CMB) observations. Nevertheless, a set of large-scale statistical anomalies persists in temperature anisotropies across WMAP and Planck.…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-23 Jiazheng Dou , Wen Zhao

The delensing of cosmic microwave background (CMB) maps will be increasingly valuable for extracting as much information as possible from future CMB surveys. Delensing provides many general benefits, including sharpening of the acoustic…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-20 Cynthia Trendafilova , Selim C. Hotinli , Joel Meyers

We present a framework for cosmological model selection using Neural Networks (NNs) trained directly on simulated Cosmic Microwave Background (CMB) temperature and polarisation maps. By operating at the map level rather than on compressed…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-08 Indira Ocampo , Guadalupe Cañas-Herrera

The statistical properties of the temperature anisotropies and polarization of the of cosmic microwave background (CMB) radiation offer a powerful probe of the physics of the early universe. In recent works a statistical procedure based…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-15 M. J. Reboucas , A. Bernui

Polarization of the cosmic microwave background (CMB) can help probe the fundamental physics behind cosmic inflation via the measurement of primordial $B$ modes. As this requires exquisite control over instrumental systematics, some…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-06 Marta Monelli , Eiichiro Komatsu , Tommaso Ghigna , Tomotake Matsumura , Giampaolo Pisano , Ryota Takaku

In order to better analyse the polarization of the cosmic microwave background (CMB), which is dominated by emission from our Galaxy, we need tools that can detect residual foregrounds in cleaned CMB maps. Galactic foregrounds introduce…

Cosmology and Nongalactic Astrophysics · Physics 2019-10-16 Majd Ghrear , Emory F. Bunn , Dagoberto Contreras , Douglas Scott

Although theoretically expected to be Statistically Isotropic (SI), the observed Cosmic Microwave Background (CMB) temperature \& polarization field would exhibit SI violation due to various inevitable effects like weak lensing, Doppler…

Cosmology and Nongalactic Astrophysics · Physics 2015-04-27 Suvodip Mukherjee , Tarun Souradeep

We describe the calibration and data processing methods used to generate full-sky maps of the cosmic microwave background (CMB) from the first year of Wilkinson Microwave Anisotropy Probe (WMAP) observations. Detailed limits on residual…

The statistical analysis of the soon to come Planck satellite CMB data will help set tighter bounds on major cosmological parameters. On the way, a number of practical difficulties need to be tackled, notably that several other…

Astrophysics · Physics 2009-11-13 P. Abrial , Y. Moudden , J. -L. Starck , J. Fadili , J. Delabrouille , M. K. Nguyen

We formulate statistical isotropy of CMB anisotropy maps in its most general form. We also present a fast and orientation independent statistical method to determine deviations from statistical isotropy in CMB polarization maps. Importance…

Astrophysics · Physics 2009-11-11 Soumen Basak , Amir Hajian , Tarun Souradeep

For 40 years, the cosmic microwave background (CMB) has been the most important source of information about the geometry and contents of the Universe. Even so, only a small fraction of the information available in the CMB has been extracted…

Astrophysics · Physics 2012-08-27 The Planck Collaboration

We evaluate the expected level of foreground contamination to the cosmic microwave background (CMB) polarised radiation, focusing on the diffuse emission from our own Galaxy. In particular, we perform a first attempt to simulate an all sky…

Astrophysics · Physics 2015-06-24 Carlo Baccigalupi

The angular power spectrum of the Cosmic Microwave Background (CMB) anisotropies is a key tool to study the Universe. However, it is blind to the presence of non--Gaussianities and deviations from statistical isotropy, which instead can be…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-26 Alessandro Carones , Javier Carrón Duque , Domenico Marinucci , Marina Migliaccio , Nicola Vittorio
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