A Foreground Model Independent Bayesian CMB Temperature and Polarization Signal Reconstruction and Cosmological Parameter Estimation over Large Angular Scales
arXiv:2209.07179 · doi:10.1093/mnras/stad187
Abstract
Recent CMB observations have resulted in very precise observational data. A robust and reliable CMB reconstruction technique can lead to efficient estimation of the cosmological parameters. We demonstrate the performance of our methodology using simulated temperature and polarization observations using cosmic variance limited future generation PRISM satellite mission. We generate samples from the joint distribution by implementing the CMB inverse covariance weighted internal-linear-combination (ILC) with the Gibbs sampling technique. We use the Python Sky Model (PySM), d4f1s1 to generate the realistic foreground templates. The synchrotron emission is parametrized by a spatially varying spectral index, whereas the thermal dust emission is described as a two-component dust model. We estimate the marginalized densities of CMB signal and theoretical angular power spectrum utilizing the samples from the entire posterior distribution. The best-fit cleaned CMB map and the corresponding angular power spectrum are consistent with the CMB realization and the sky angular power spectrum, implying an efficient foreground minimized reconstruction. The likelihood function estimated by making use of the Blackwell-Rao estimator is used for the estimation of the cosmological parameters. Our methodology can estimate the tensor to scalar ratio for the chosen foreground models and the instrumental noise levels. Our current work demonstrates an analysis pipeline starting from the reliable estimation of CMB signal and its angular power spectrum to the case of cosmological parameter estimation using the foreground model independent Gibbs-ILC method.
References in corpus (44)
- HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere
- Efficient Computation of CMB anisotropies in closed FRW models
- Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Final Maps and Results
- The Cosmic Linear Anisotropy Solving System (CLASS) II: Approximation schemes
- An All-Sky Analysis of Polarization in the Microwave Background
- Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Temperature Analysis
- What would we learn by detecting a gravitational wave signal in the cosmic microwave background anisotropy?
- Cobaya: Code for Bayesian Analysis of hierarchical physical models
- A high resolution foreground cleaned CMB map from WMAP
- Extrapolation of Galactic Dust Emission at 100 Microns to CMBR Frequencies Using FIRAS
- Planck 2018 results. IV. Diffuse component separation
- A method for subtracting foregrounds from multi-frequency CMB sky maps
- Joint Bayesian component separation and CMB power spectrum estimation
- A full sky, low foreground, high resolution CMB map from WMAP
- Component separation methods for the Planck mission
- The Python Sky Model: software for simulating the Galactic microwave sky
- Towards a free-free template for CMB foregrounds
- Global, Exact Cosmic Microwave Background Data Analysis Using Gibbs Sampling
- Separation of anomalous and synchrotron emissions using WMAP polarization data
- Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Galactic Foreground Emission
- All-sky astrophysical component separation with Fast Independent Component Analysis (FastICA)
- Planck constraints on the tensor-to-scalar ratio
- Bayesian analysis of sparse anisotropic universe models and application to the 5-yr WMAP data
- A needlet ILC analysis of WMAP 7-year data: estimation of CMB temperature map and power spectrum
- Multi-resolution internal template cleaning: An application to the Wilkinson Microwave Anisotropy Probe 7-yr polarization data
- Modeling Thermal Dust Emission with Two Components: Application to the Planck HFI Maps
- Cosmological Parameter Constraints as Derived from the Wilkinson Microwave Anisotropy Probe Data via Gibbs Sampling and the Blackwell-Rao Estimator
- CMB Temperature and Polarization Anisotropy Fundamentals
- CMB anisotropy power spectrum using linear combinations of WMAP maps
- Separation of correlated astrophysical sources using multiple-lag data covariance matrices
- Signatures of metal-free star formation in Planck 2015 Polarization Data
- The joint large-scale foreground-CMB posteriors of the 3-year WMAP data
- Impact of Galactic polarized emission on B-mode detection at low multipoles
- Astrophysical components separation of COBE-DMR 4yr data with FastICA
- CMB map derived from the WMAP data through Harmonic Internal Linear Combination
- New insights into foreground analysis of the WMAP five-year data using FASTICA
- Forecast Analysis on Interacting Dark Energy Models from Future Generation PICO and DESI Missions
- A Global ILC Approach in Pixel Space over Large Angular Scales of the Sky using CMB Covariance Matrix
- Angular power spectrum of CMB anisotropy from WMAP
- CMB Polarization and Temperature Power Spectra Estimation using Linear Combination of WMAP 5-year Maps
- CMB Polarization as complementary information to anisotropies
- An Accurate Reconstruction of CMB E Mode Signal over Large Angular Scales using Prior Information of CMB Covariance Matrix in ILC Algorithm
- A Bayesian ILC method for CMB B-mode posterior estimation and reconstruction of primordial gravity wave signal
- A Partial-Sky Gibbs ILC Approach for the Estimation of CMB Posterior over Large Angular Scales of the Sky