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We investigate the effect of the window function on the multipole power spectrum in two different ways. First, we consider the convolved power spectrum including the window effect, which is obtained by following the familiar (FKP) method…

宇宙学与河外天体物理 · 物理学 2013-10-15 Takahiro Sato , Gert Hütsi , Gen Nakamura , Kazuhiro Yamamoto

We present a method to perform the exact convolution of the model prediction for bispectrum multipoles in redshift space with the survey window function. We extend a widely applied method for the power spectrum convolution to the…

宇宙学与河外天体物理 · 物理学 2024-08-08 Kevin Pardede , Federico Rizzo , Matteo Biagetti , Emanuele Castorina , Emiliano Sefusatti , Pierluigi Monaco

The most commonly used estimators of the anisotropic galaxy power spectrum employ Fast Fourier transforms, and rely on a specific choice of the line-of-sight that breaks the symmetry between the galaxy pair. This leads to wide-angle…

宇宙学与河外天体物理 · 物理学 2021-06-14 Florian Beutler , Emanuele Castorina , Pierre Zhang

We develop a new method for deconvolving the smearing effect of the survey window in the analysis of the galaxy multipole power spectra from a redshift survey. This method is based on the deconvolution theorem, and is compatible with the…

宇宙学与河外天体物理 · 物理学 2015-03-17 Takahiro Sato , Gert Huetsi , Kazuhiro Yamamoto

In this work we reformulate the forward modelling of the redshift-space power spectrum multipole moments for a masked density field, as encountered in galaxy redshift surveys. Exploiting the symmetries of the redshift-space correlation…

宇宙学与河外天体物理 · 物理学 2017-03-15 Michael J. Wilson , John A. Peacock , Andy N. Taylor , Sylvain de la Torre

Conventional algorithms for galaxy power spectrum estimation measure the true spectrum convolved with a survey window function, which, for parameter inference, must be compared with a similarly convolved theory model. In this work, we…

宇宙学与河外天体物理 · 物理学 2021-05-12 Oliver H. E. Philcox

We review the methodology for measurements of two point functions of the cosmological observables, both power spectra and correlation functions. For pseudo-$C_\ell$ estimators, we will argue that the window weighted overdensity field can…

宇宙学与河外天体物理 · 物理学 2021-08-27 Sukhdeep Singh

Redshift space distortions privilege the location of the observer in cosmological redshift surveys, breaking the translational symmetry of the underlying theory. This violation of statistical homogeneity has consequences for the modeling of…

宇宙学与河外天体物理 · 物理学 2018-03-23 Emanuele Castorina , Martin White

Current and upcoming large-scale structure surveys are pushing toward increasingly wide angular coverage, where wide-angle effects (arising from the varying line of sight across the curved sky) become critical for accurate modeling of the…

宇宙学与河外天体物理 · 物理学 2026-01-28 Robin Y. Wen , Henry S. Grasshorn Gebhardt , Chen Heinrich , Olivier Doré

We present a fast algorithm for evaluating the (non-smooth) solution of the free-space two-dimensional (2D) scalar wave equation with many point sources, each with a high-frequency band-limited time signature. Such an algorithm is key to an…

数值分析 · 数学 2026-04-09 Nour G. Al Hassanieh , Leslie Greengard , Alex H. Barnett

In galaxy survey analysis, the observed clustering statistics do not directly match theoretical predictions but rather have been processed by a window function that arises from the survey geometry including the sky footprint,…

In the previous paper [arXiv:2210.10435], the nonlinear perturbation theory of cosmological density field is generalized to include the tensor-valued bias of astronomical objects, such as spins and shapes of galaxies and any other tensors…

宇宙学与河外天体物理 · 物理学 2024-09-23 Takahiko Matsubara

Traditional estimators of the galaxy power spectrum and bispectrum are sensitive to the survey geometry. They yield spectra that differ from the true underlying signal since they are convolved with the window function of the survey. For the…

宇宙学与河外天体物理 · 物理学 2022-12-20 Davit Alkhanishvili , Cristiano Porciani , Emiliano Sefusatti

The two-point summary statistics is one of the most commonly used tools in the study of cosmological structure. Starting from the theoretical power spectrum defined in the 3D volume and obtained via the process of ensemble averaging, we…

宇宙学与河外天体物理 · 物理学 2023-06-02 Alvise Raccanelli , Zvonimir Vlah

The peculiar velocities of galaxies cause their redshift-space clustering to depend on the angle to the line-of-sight, providing a key test of gravitational physics on cosmological scales. These effects may be described using a multipole…

宇宙学与河外天体物理 · 物理学 2018-07-25 Chris Blake , Paul Carter , Jun Koda

It has long been known that galaxy shapes align coherently with the large-scale density field. Characterizing this effect is essential to interpreting measurements of weak gravitational lensing, the deflection of light from distant galaxies…

宇宙学与河外天体物理 · 物理学 2024-04-17 Sukhdeep Singh , Ali Shakir , Yesukhei Jagvaral , Rachel Mandelbaum

This paper addresses the challenge of reconstructing a 3D power spectrum map from sparse, scattered, and incomplete spectrum measurements. It proposes an integrated approach combining interpolation and block-term tensor decomposition (BTD).…

信号处理 · 电气工程与系统科学 2024-02-28 Hao Sun , Junting Chen

We measure the power spectrum of the galaxy distribution in the ESO Slice Project (ESP) galaxy redshift survey. We develope a technique to describe the survey window function analytically, and then deconvolve it from the measured power…

天体物理学 · 物理学 2009-10-31 E. Carretti , C. Bertoni , A. Messina , E. Zucca , L. Guzzo

The usual fluid equations describing the large-scale evolution of mass density in the universe can be written as local in the density, velocity divergence, and velocity potential fields. As a result, the perturbative expansion in small…

宇宙学与河外天体物理 · 物理学 2016-06-01 Marcel Schmittfull , Zvonimir Vlah , Patrick McDonald

The statistics of large-scale structure are naturally described by power spectra in Fourier space. For fields on spatial hypersurfaces, translational invariance makes different Fourier modes uncorrelated and the power spectrum diagonal.…

宇宙学与河外天体物理 · 物理学 2026-05-29 Chris Clarkson , Pritha Paul
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