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Estimation of the angular power spectrum is one of the important steps in Cosmic Microwave Background (CMB) data analysis. Here, we present a nonparametric estimate of the temperature angular power spectrum for the Planck 2013 CMB data. The…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Amir Aghamousa , Arman Shafieloo , Mihir Arjunwadkar , Tarun Souradeep

We explore a novel analysis framework for parameter inference with large-scale CMB polarization data. Our method uses simulation-based inference combined with the needlet internal linear combination (NILC) algorithm and…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-19 Adriaan J. Duivenvoorden , Kristen Surrao , Adrian E. Bayer , Alexandre E. Adler , Nadia Dachlythra , Susanna Azzoni , J. Colin Hill

We revisit the problem of exact CMB likelihood and power spectrum estimation with the goal of minimizing computational cost through linear compression. This idea was originally proposed for CMB purposes by Tegmark et al.\ (1997), and here…

Instrumentation and Methods for Astrophysics · Physics 2015-11-18 E. Gjerløw , L. P. L. Colombo , H. K. Eriksen , K. M. Górski , A. Gruppuso , J. B. Jewell , S. Plaszczynski , I. K. Wehus

This paper generalises the hybrid power spectrum estimator developed in Efstathiou (2004a) to the estimation of polarization power spectra of the cosmic microwave background radiation. The hybrid power spectrum estimator is unbiased and we…

Astrophysics · Physics 2009-11-11 G. Efstathiou

We propose and implement a fast, universally applicable method for extracting the angular power spectrum C_l from CMB temperature maps by first estimating the correlation function \xi(\theta). Our procedure recovers the C_l's using N^2 (but…

In order to extract cosmological information from observations of the millimeter and submillimeter sky, foreground components must first be removed to produce an estimate of the cosmic microwave background (CMB). We developed a…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-10 Matthew A. Petroff , Graeme E. Addison , Charles L. Bennett , Janet L. Weiland

In this study, we revisit the well-known cosmic microwave background (CMB) anomaly referred to as Hemispherical Power Asymmetry (HPA), using CMB temperature maps from the Planck mission public release 4 (PR4) and the WMAP nine-year data…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-21 Sanjeev Sanyal , Pavan Kumar Aluri , Arman Shafieloo

We use an optimal estimator to study the variance of the WMAP 9 CMB field at low resolution, in both temperature and polarization. Employing realistic Monte Carlo simulation, we find statistically significant deviations from the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 A. Gruppuso , P. Natoli , F. Paci , F. Finelli , D. Molinari , A. De Rosa , N. Mandolesi

We apply our symmetry based Power tensor technique to test conformity of PLANCK Polarization maps with statistical isotropy. On a wide range of angular scales (l=40-150), our preliminary analysis detects many statistically anisotropic…

Cosmology and Nongalactic Astrophysics · Physics 2020-02-27 Pranati K. Rath , Pramoda Kr. Samal , Srikanta Panda , Debesh D. Mishra , Pavan K. Aluri

We impose constraints on the topology of the Universe determined from a search for matched circles in the cosmic microwave background (CMB) temperature anisotropy patterns of the 7-year WMAP data. We pay special attention to the sensitivity…

Cosmology and Nongalactic Astrophysics · Physics 2013-03-19 P. Bielewicz , A. J. Banday , K. M. Gorski

Cosmic microwave background radiation (CMB) observations are unavoidably contaminated by emission from various extra-galactic foregrounds, which must be removed to obtain reliable measurements of the cosmological signal. In this paper, we…

AIMS: The separation of foreground contamination from cosmic microwave background (CMB) observations is one of the most challenging and important problem of digital signal processing in Cosmology. In literature, various techniques have been…

Astrophysics · Physics 2015-05-13 R. Vio , P. Andreani

We explore the capability of measuring lensing signals in $LiteBIRD$ full-sky polarization maps. With a $30$ arcmin beam width and an impressively low polarization noise of $2.16\,\mu$K-arcmin, $LiteBIRD$ will be able to measure the…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-06 A. I. Lonappan , T. Namikawa , G. Piccirilli , P. Diego-Palazuelos , M. Ruiz-Granda , M. Migliaccio , C. Baccigalupi , N. Bartolo , D. Beck , K. Benabed , A. Challinor , J. Errard , S. Farrens , A. Gruppuso , N. Krachmalnicoff , E. Martínez-González , V. Pettorino , B. Sherwin , J. Starck , P. Vielva , R. Akizawa , A. Anand , J. Aumont , R. Aurlien , S. Azzoni , M. Ballardini , A. J. Banday , R. B. Barreiro , M. Bersanelli , D. Blinov , M. Bortolami , T. Brinckmann , E. Calabrese , P. Campeti , A. Carones , F. Carralot , F. J. Casas , K. Cheung , L. Clermont , F. Columbro , G. Conenna , A. Coppolecchia , F. Cuttaia , G. D'Alessandro , P. de Bernardis , M. De Petris , S. Della Torre , E. Di Giorgi , H. K. Eriksen , F. Finelli , C. Franceschet , U. Fuskeland , G. Galloni , M. Galloway , M. Georges , M. Gerbino , M. Gervasi , R. T. Génova-Santos , T. Ghigna , S. Giardiello , C. Gimeno-Amo , E. Gjerløw , M. Hazumi , S. Henrot-Versillé , L. T. Hergt , E. Hivon , K. Kohri , E. Komatsu , L. Lamagna , M. Lattanzi , C. Leloup , M. Lembo , M. López-Caniego , G. Luzzi , J. Macias-Perez , B. Maffei , S. Masi , M. Massa , S. Matarrese , T. Matsumura , S. Micheli , A. Moggi , M. Monelli , L. Montier , G. Morgante , B. Mot , L. Mousset , R. Nagata , P. Natoli , A. Novelli , I. Obata , A. Occhiuzzi , L. Pagano , A. Paiella , D. Paoletti , G. Pascual-Cisneros , V. Pavlidou , F. Piacentini , M. Pinchera , G. Pisano , G. Polenta , G. Puglisi , M. Remazeilles , A. Ritacco , A. Rizzieri , Y. Sakurai , D. Scott , M. Shiraishi , G. Signorelli , S. L. Stever , Y. Takase , H. Tanimura , A. Tartari , K. Tassis , L. Terenzi , M. Tristram , L. Vacher , B. van Tent , I. K. Wehus , G. Weymann-Despres , M. Zannoni , Y. Zhou

We present a method for measuring CMB polarization power spectra given incomplete sky coverage and test it with simulated examples such as Boomerang 2001 and MAP. By augmenting the quadratic estimator method with an additional step, we find…

Astrophysics · Physics 2009-10-07 Max Tegmark , Angelica de Oliveira-Costa

The non-polarized points (NPP) of the $Q$ and $U$ Stokes parameters of the CMB can be classified according to the geometry of the polarization field. We describe a procedure to identify these points in the pixelized sky and present the…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-07 Jaan Kasak , James Creswell , Hao Liu , Pavel Naselsky

The cosmic infrared background (CIB) anisotropies and cosmic microwave background (CMB) lensing are powerful measurements for exploring the cosmological and astrophysical problems. In this work, we measure the auto-correlation power…

Cosmology and Nongalactic Astrophysics · Physics 2020-09-30 Ye Cao , Yan Gong , Chang Feng , Asantha Cooray , Gong Cheng , Xuelei Chen

(Abridged)Motivated by the recent results of Hansen et al. (2008) concerning a noticeable hemispherical power asymmetry in the WMAP data on small angular scales, we revisit the dipole modulated signal model introduced by Gordon et al.…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-11 J. Hoftuft , H. K. Eriksen , A. J. Banday , K. M. Gorski , F. K. Hansen , P. B. Lilje

In recent years the goal of estimating different cosmological parameters precisely has set new challenges in the effort to accurately measure the angular power spectrum of CMB. This has required removal of foreground contamination as well…

Astrophysics · Physics 2008-11-26 Rajib Saha , Simon Prunet , Pankaj Jain , Tarun Souradeep

We present efficient algorithms for CMB lensing simulation and power spectrum es- timation for flat-sky CMB polarization maps. We build a pure B-mode estimator to remedy E to B leakage due to partial sky coverage. We show that our…

Cosmology and Nongalactic Astrophysics · Physics 2013-11-14 Thibaut Louis , Sigurd Næss , Sudeep Das , Joanna Dunkley , Blake Sherwin

We present new full-sky temperature maps in five frequency bands from 23 to 94 GHz, based on the first three years of the WMAP sky survey. The new maps, which are consistent with the first-year maps and more sensitive, incorporate…