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We investigate various pixelizations of the sky which allow for fast spherical transforms, for implementation in full sky CMB experiments such as Planck and MAP. We study the effect of varying pixel shape and area on the extraction of the…

天体物理学 · 物理学 2016-08-30 Robert G. Crittenden , Neil G. Turok

The cosmic microwave background $B$-mode signal is potentially weaker than the diffuse Galactic foregrounds over most of the sky at any frequency. A common method of separating the CMB from these foregrounds is via pixel-based…

Hu [Phys. Rev. D62 (2000) 043007] has presented a harmonic-space method for calculating the effects of weak gravitational lensing on the cosmic microwave background (CMB) over the full sky. Computing the lensed power spectra to first order…

天体物理学 · 物理学 2009-11-07 Anthony Challinor , Gayoung Chon

Measurements of cosmic microwave background (CMB) anisotropies by interferometers offer several advantages over single-dish observations. The formalism for analyzing interferometer CMB data is well developed in the flat-sky approximation,…

天体物理学 · 物理学 2008-11-26 Emory F. Bunn , Martin White

The natural approach to a spectral analysis of data distributed on the sky employs spherical harmonic decomposition. A common problem encountered in practical astronomy is the lack of full sky coverage in the available data. For example,…

天体物理学 · 物理学 2009-10-22 Krzysztof M. Gorski

We extend the pure pseudo-power-spectrum formalism proposed recently in the context of the Cosmic Microwave Background polarized power spectra estimation by Smith (2006) to incorporate cross-spectra computed for multiple maps of the same…

宇宙学与河外天体物理 · 物理学 2009-07-09 J. Grain , M. Tristram , R. Stompor

CMB polarization signal may be decomposed into gradient-like (E) and curl-like (B) mode. We have investigated E/B decomposition in pixel space. We find E/B mixing due to incomplete sky is localized in pixel-space, and negligible in the…

宇宙学与河外天体物理 · 物理学 2011-07-22 Jaiseung Kim , Pavel Naselsky

We present a general method for accelerating by more than an order of magnitude the convolution of pixelated functions on the sphere with a radially-symmetric kernel. Our method splits the kernel into a compact real-space component and a…

宇宙学与河外天体物理 · 物理学 2015-03-31 P. M. Sutter , Benjamin D. Wandelt , Franz Elsner

Fundamental information about the Universe is encoded in anisotropies of the Cosmic Microwave Background (CMB) radiation. To make full use of this information, an experiment must image the entire sky with the angular resolution,…

We propose fast, exact and efficient algorithms for the convolution of two arbitrary functions on the sphere which speed up computations by a factor \order{\sqrt{N}} compared to present methods where $N$ is the number of pixels. No…

天体物理学 · 物理学 2009-10-31 Benjamin D. Wandelt , Krzysztof M. Gorski

We present a new approach to component separation in multifrequency CMB experiments by formulating the problem as that of partitioning the sky into pixel clusters such that within each pixel cluster the foregrounds have similar spectrum,…

宇宙学与河外天体物理 · 物理学 2019-03-18 Rishi Khatri

We introduce a pixel space method to detect dipole modulation or hemispherical power asymmetry in the cosmic microwave background (CMB) polarization. The method relies on the use of squared total polarized flux whose ensemble average picks…

宇宙学与河外天体物理 · 物理学 2020-07-15 Shamik Ghosh , Pankaj Jain

Large scale structure deflects cosmic microwave background (CMB) photons. Since large angular scales in the large scale structure contribute significantly to the gravitational lensing effect, a realistic simulation of CMB lensing requires a…

天体物理学 · 物理学 2009-11-13 Sudeep Das , Paul Bode

Simulated maps of the microwave background (CMB) radiation are generally created using one of two methods: all-sky simulations use the spherical harmonic transform, while maps covering small areas approximate the sky as flat, allowing the…

宇宙学与河外天体物理 · 物理学 2025-07-22 Mariona Giner Mascarell , Emory F. Bunn

Estimation of the angular power spectrum of the Cosmic Microwave Background (CMB) on a small patch of sky is usually plagued by serious spectral leakage, specially when the map has a hard edge. Even on a full sky map, point source masks can…

天体物理学 · 物理学 2009-11-06 Sudeep Das , Amir Hajian , David N. Spergel

We present a general method for accelerating by more than an order of magnitude the convolution of pixelated function on the sphere with a radially-symmetric kernel. Our method splits the kernel into a compact real-space, and a compact…

天体物理仪器与方法 · 物理学 2012-11-16 P. M. Sutter , Benjamin D. Wandelt , Franz Elsner

An improved method for subtracting contaminants from Cosmic Microwave Background (CMB) sky maps is presented, and used to estimate how well future experiments will be able to recover the primordial CMB fluctuations. We find that the naive…

天体物理学 · 物理学 2015-06-24 Max Tegmark , George Efstathiou

We propose a new internal linear combination (ILC) method in the pixel space, applicable on large angular scales of the sky, to estimate a foreground minimized Cosmic Microwave Background (CMB) temperature anisotropy map by incorporating…

宇宙学与河外天体物理 · 物理学 2018-11-07 Vipin Sudevan , Rajib Saha

The current suite of results from Cosmic Microwave Background anisotropy experiments is fulfilling the promise of providing extraordinary levels of discrimination between cosmological models. We calculate a binned anisotropy power spectrum,…

天体物理学 · 物理学 2007-05-23 Elena Pierpaoli , Douglas Scott , Martin White

We present a new method of interpolation for the pixel brightness estimation in astronomical images. Our new method is simple and easily implementable. We show the comparison of this method with the widely used linear interpolation and…

天体物理仪器与方法 · 物理学 2013-10-03 A. Popowicz , A. R. Kurek , Z. Filus
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