Wiener Reconstruction of Density, Velocity, and Potential Fields from All-Sky Galaxy Redshift Surveys

Abstract

We present a new method for recovering the cosmological density, velocity, and potential fields from all-sky redshift catalogues. The method is based on an expansion of the fields in orthogonal radial (Bessel) and angular (spherical harmonic) functions. In this coordinate system, peculiar velocities introduce a coupling of the radial harmonics describing the density field in redshift space but leave the angular modes unaffected. In the harmonic transform space, this radial coupling is described by a distortion matrix which can be computed analytically within the context of linear theory; the redshift space harmonics can then be converted to their real space values by inversion of this matrix. Statistical noise is mitigated by regularizing the matrix inversion with a Wiener filter. The method yields a minimum variance estimate of the density field in real space. In this coordinate system, the minimum variance harmonics of the peculiar velocity and potential fields are related to those of the density field by simple linear transformations. Tests of the method with simulations of a CDM universe and comparison with previously proposed methods demonstrate it to be a very promising new reconstruction method for the local density and velocity field. A first application to the 1.2 Jy IRAS redshift survey is presented.

26 pages +5 figures, uuencoded postscript file, submitted to MNRAS, CAP-W2

Cited by in corpus (87)

• Large-Scale Galaxy Bias
• A high resolution foreground cleaned CMB map from WMAP
• The density and peculiar velocity fields of nearby galaxies
• Reconstructed Density and Velocity Fields from the 2MASS Redshift Survey
• Local Gravity versus Local Velocity: Solutions for $\beta$ and nonlinear bias
• The 6dF Galaxy Survey: Peculiar Velocity Field and Cosmography
• Information field theory for cosmological perturbation reconstruction and non-linear signal analysis
• Bayesian reconstruction of the cosmological large-scale structure: methodology, inverse algorithms and numerical optimization
• Fast Hamiltonian sampling for large scale structure inference
• Past and present cosmic structure in the SDSS DR7 main sample
• Reconstructing the Cosmic Velocity and Tidal Fields with Galaxy Groups Selected from the Sloan Digital Sky Survey
• Bayesian non-linear large scale structure inference of the Sloan Digital Sky Survey data release 7
• The 2dF Galaxy Redshift Survey: Wiener Reconstruction of the Cosmic Web
• Tracing The Sound Horizon Scale With Photometric Redshift Surveys
• Reconstructing the cosmic density field with the distribution of dark matter halos
• De-contamination of cosmological 21-cm maps
• Wide Angle Effects in Future Galaxy Surveys
• Cosmic Cartography of the Large-Scale Structure with Sloan Digital Sky Survey Data Release 6
• Characterizing SASI- and Convection-Dominated Core-Collapse Supernova Explosions in Two Dimensions
• The IRAS PSCz Dipole
• A first step towards a direct inversion of the Lyman forest in QSO spectra
• Reconstructing cosmological initial conditions from galaxy peculiar velocities. I. Reverse Zeldovich Approximation
• The Impact of Peculiar Velocities on the Estimation of the Hubble Constant from Gravitational Wave Standard Sirens
• All-Sky Analysis of the General Relativistic Galaxy Power Spectrum
• Total Angular Momentum Waves for Scalar, Vector, and Tensor Fields
• Planck intermediate results. XXXVII. Evidence of unbound gas from the kinetic Sunyaev-Zeldovich effect
• Spherical Harmonic Analyses of Intensity Mapping Power Spectra
• Cosmic Structure and Dynamics of the Local Universe
• Reconstruction of cosmological initial conditions from galaxy redshift catalogues
• Constrained realizations of 2MRS density and peculiar velocity fields: growth rate and local flow
• Unbiased Cosmology Inference from Biased Tracers using the EFT Likelihood
• On density and velocity fields and beta from the IRAS PSCz survey
• 2MTF V. Cosmography, Beta, and the residual bulk flow
• Estimating cosmic velocity fields from density fields and tidal tensors
• Impact of Relativistic Effects on the Primordial Non-Gaussianity Signature in the Large-Scale Clustering of Quasars
• Non-linear Constrained Realizations of the Large Scale Structure
• Large-Scale Power Spectrum and Structures From the ENEAR galaxy Peculiar Velocity Catalog
• The EFT Likelihood for Large-Scale Structure
• 3D Spherical Analysis of Baryon Acoustic Oscillations
• Determination of the Baryon Density from Large Scale Galaxy Redshift Surveys
• The velocity shear and vorticity across redshifts and non-linear scales
• The Velocity Field Predicted by the Optical Redshift Survey
• Optimal Weighting Scheme in Redshift-space Power Spectrum Analysis and a Prospect for Measuring the Cosmic Equation of State
• Matrix-free Large Scale Bayesian inference in cosmology
• Unequal-Time Correlators for Cosmology
• Filaments from the galaxy distribution and from the velocity field in the local universe
• Unbiased Reconstruction of the Large Scale Structure
• Filaments and Pancakes in the IRAS 1.2 Jy Redshift Catalogue
• SuperFaB: a fabulous code for Spherical Fourier-Bessel decomposition
• The Dipole of the Astrophysical Gravitational-Wave Background
• 3D galaxy clustering with future wide-field surveys: Advantages of a spherical Fourier-Bessel analysis
• The Likelihood for LSS: Stochasticity of Bias Coefficients at All Orders
• Large-scale density and velocity field reconstructions with neural networks
• The Clustering of Galaxies in the Completed SDSS-III Baryon Oscillation Spectroscopic Survey: Cosmic Flows and Cosmic Web from Luminous Red Galaxies
• Halo based reconstruction of the cosmic mass density field
• Effects of Linear Redshift Space Distortions and Perturbation Theory on BAOs: A 3D Spherical Analysis
• I- A hydrodynamical CLONE of the Virgo cluster of galaxies to confirm observationally-driven formation scenarios
• An Unbiased Method of Modeling the Local Peculiar Velocity Field with Type Ia Supernovae
• Bayesian cosmic density field inference from redshift space dark matter maps
• Optimal ISW detection and joint likelihood for cosmological parameter estimation
• Cross-correlating 2D and 3D galaxy surveys
• The Complementarity of Redshift-space Distortions and the Integrated Sachs-Wolfe Effect: A 3D Spherical Analysis
• BAO scale inference from biased tracers using the EFT likelihood
• On methods of estimating cosmological bulk flows
• Hybrid-basis inference for large-scale galaxy clustering: combining spherical and Cartesian Fourier analyses
• Cosmological Information Contents on the Light-Cone
• Percolation Analysis of a Wiener Reconstruction of the IRAS 1.2 Jy Redshift Catalog
• Scale Invariance of Rich Cluster Abundance: A Possible Test for Models of Structure Formation
• Galaxy Clustering in 3D and Modified Gravity Theories
• A speedy pixon image reconstruction algorithm
• Constraining low redshift [CII] Emission by Cross-Correlating FIRAS and BOSS Data
• The Inverse Redshift-Space Operator: Reconstructing Cosmological Density and Velocity Fields
• Joint analyses of 2D CMB lensing and 3D galaxy clustering in the spherical Fourier-Bessel basis
• Reconstruction with velocities
• Harmonic analysis of isotropic fields on the sphere with arbitrary masks
• Nonlinear Reconstruction of the Velocity Field
• On the vorticity of flow in redshift space
• DarkAI: Reconstructing the density, velocity and tidal field of dark matter from a DESI-like bright galaxy sample
• Full-Sky Lensing Reconstruction of 21 cm Intensity Maps
• Towards breaking the Omega-bias degeneracy in density--velocity comparisons
• A Differentiable, End-to-End Forward Model for 21 cm Cosmology: Estimating the Foreground, Instrument, and Signal Joint Posterior
• The galaxy power spectrum on the lightcone: deep, wide-angle redshift surveys and the turnover scale
• Beyond boundaries of redshift surveys: assessing mass fluctuations on "super-survey" scales
• A probabilistic framework for cosmological inference of peculiar velocities
• Separating Angular and Radial Modes with Spherical-Fourier Bessel Power Spectrum on All Scales and Implications for Systematics Mitigation
• Note on Redshift Distortion in Fourier Space
• Large-scale Modeling of the Observed Power Spectrum Multipoles