Optimal and exact wide-angle power spectrum estimation

arXiv:2607.05513 · astro-ph.CO · Submitted 2026-07-06 · Read on arXiv

Noah Sailer, Kendrick Smith, Yurii Kvasiuk, Alex Laguë, Selim Hotinli

astro-ph.CO

Submitted: 2026-07-06

Comments: 22+21 pages, 3 figures, minimal approximations. Comments welcome!

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Clustering — 13× in this paper · explained in 2 episodes
• Generalization — 6× in this paper · explained in 13 episodes
• Matter Power Spectrum — 5× in this paper · explained in 2 episodes
• Non-Gaussianity — 5× in this paper · explained in 2 episodes
• Bispectrum — 4× in this paper · explained in 3 episodes
• Primordial non-Gaussianity — 4× in this paper · explained in 2 episodes
• Anisotropy — 3× in this paper · explained in 3 episodes
• Abundance — 1× in this paper · explained in 1 episode
• Aperture — 1× in this paper · explained in 1 episode
• Cosmic Linear Anisotropy Solving System — 1× in this paper
• Higher-order statistics — 1× in this paper · explained in 2 episodes
• Homogeneity — 1× in this paper · explained in 2 episodes
• Pruning — 1× in this paper · explained in 4 episodes
• Redshift-Space Distortions (RSD) — 1× in this paper · explained in 2 episodes
• Signal-to-noise ratio (SNR) — 1× in this paper · explained in 2 episodes

Sources

• The DESI Experiment Part I: Science,Targeting, and Survey Design
• Wide-Field InfrarRed Survey Telescope-Astrophysics Focused Telescope Assets WFIRST-AFTA 2015 Report
• Euclid. I. Overview of the Euclid mission
• The LSST Dark Energy Science Collaboration (DESC) Science Requirements Document
• The SPHEREx Satellite Mission
• The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
• Geometric Biases in Power-Spectrum Measurements
• Wide Angle Effects in Future Galaxy Surveys
• Redshift-space distortions with wide angular separations
• Interpreting measurements of the anisotropic galaxy power spectrum
• Wide-Angle Effects in the Power Spectrum Multipoles in Next-Generation Redshift Surveys
• Measuring line-of-sight dependent Fourier-space clustering using FFTs
• Fast Estimators for Redshift-Space Clustering
• Rapid modelling of the redshift-space power spectrum multipoles for a masked density field
• An optimal FFT-based anisotropic power spectrum estimator
• Limits on statistical anisotropy from BOSS DR12 galaxies using bipolar spherical harmonics
• SuperFaB: a fabulous code for Spherical Fourier-Bessel decomposition
• Harmonic analysis of isotropic fields on the sphere with arbitrary masks
• Validation of Spherical Fourier-Bessel power spectrum analysis with lognormal simulations and eBOSS DR16 LRG EZmocks
• The Galaxy Bispectrum in the Spherical Fourier-Bessel Basis

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