The Simons Observatory: Validation of reconstructed power spectra from simulated filtered maps for the Small Aperture Telescope survey
arXiv:2502.00946 · doi:10.1088/1475-7516/2025/06/055
Abstract
We present a transfer function-based method to estimate angular power spectra from filtered maps for cosmic microwave background (CMB) surveys. This is especially relevant for experiments targeting the faint primordial gravitational wave signatures in CMB polarisation at large scales, such as the Simons Observatory (SO) small aperture telescopes. While timestreams can be filtered to mitigate the contamination from low-frequency noise, usual methods that calculate the mode coupling at individual multipoles can be challenging for experiments covering large sky areas or reaching few-arcminute resolution. The method we present here, although approximate, is more practical and faster for larger data volumes. We validate it through the use of simulated observations approximating the first year of SO data, going from half-wave plate-modulated timestreams to maps, and using simulations to estimate the mixing of polarisation modes induced by an example of time-domain filtering. We show its performance through an example null test and with an end-to-end pipeline that performs inference on cosmological parameters, including the tensor-to-scalar ratio . The performance demonstration uses simulated observations at multiple frequency bands. We find that the method can recover unbiased parameters for our simulated noise levels.
30+2 pages, 15 figures, 2 tables. Accepted for publication by JCAP
References in corpus (62)
- SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
- Array Programming with NumPy
- emcee: The MCMC Hammer
- HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere
- BICEP2 I: Detection Of B-mode Polarization at Degree Angular Scales
- The Simons Observatory: Science goals and forecasts
- Weak Gravitational Lensing of the CMB
- Signature of Gravity Waves in Polarization of the Microwave Background
- BICEP / Keck XIII: Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season
- A Probe of Primordial Gravity Waves and Vorticity
- MASTER of the CMB Anisotropy Power Spectrum: A Fast Method for Statistical Analysis of Large and Complex CMB Data Sets
- Gravitational Lensing Effect on Cosmic Microwave Background Polarization
- Estimating the Power Spectrum of the Cosmic Microwave Background
- A unified pseudo- framework
- How to measure CMB power spectra without losing information
- Planck intermediate results. LVII. Joint Planck LFI and HFI data processing
- A Measurement of the Cosmic Microwave Background B-Mode Polarization Power Spectrum at Sub-Degree Scales with POLARBEAR
- The Atacama Cosmology Telescope: A Measurement of the Cosmic Microwave Background Power Spectra at 98 and 150 GHz
- CMB-S4: Forecasting Constraints on Primordial Gravitational Waves
- Improved measurements of the temperature and polarization of the CMB from QUaD
- Component separation methods for the Planck mission
- The Python Sky Model: software for simulating the Galactic microwave sky
- How to make maps from CMB data without losing information
- Measurement of Cosmic Microwave Background Polarization Power Spectra from Two Years of BICEP Data
- Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Beam Profiles, Data Processing, Radiometer Characterization and Systematic Error Limits
- The POLARBEAR-2 and the Simons Array Experiment
- E/B decomposition of finite pixelized CMB maps
- How to measure CMB polarization power spectra without losing information
- CLASS: The Cosmology Large Angular Scale Surveyor
- On Determining the Spectrum of Primordial Inhomogeneity from the COBE DMR Sky Maps: I. Method
- A Measurement of the Cosmic Microwave Background -Mode Polarization Power Spectrum at Sub-Degree Scales from 2 years of POLARBEAR Data
- Signal-to-Noise Eigenmode Analysis of the Two-Year COBE Maps
- Pseudo- estimators which do not mix E and B modes
- BICEP2 / Keck Array V: Measurements of B-mode Polarization at Degree Angular Scales and 150 GHz by the Keck Array
- Measurements of B-mode Polarization of the Cosmic Microwave Background from 500 Square Degrees of SPTpol Data
- BICEP Array: a multi-frequency degree-scale CMB polarimeter
- Modulation of CMB polarization with a warm rapidly-rotating half-wave plate on the Atacama B-Mode Search (ABS) instrument
- Polarized CMB power spectrum estimation using the pure pseudo-cross-spectrum approach
- MAXIPOL: Cosmic Microwave Background Polarimetry Using a Rotating Half-Wave Plate
- A Measurement of the Degree Scale CMB B-mode Angular Power Spectrum with POLARBEAR
- Cosmic Microwave Background Anisotropy Window Functions Revisited
- Degree-Scale CMB Polarization Measurements from Three Years of BICEP1 Data
- BICEP2 III: Instrumental Systematics
- Characterization of foreground emission at degree angular scale for CMB B-modes observations. Thermal Dust and Synchrotron signal from Planck and WMAP data
- Performance of a continuously rotating half-wave plate on the POLARBEAR telescope
- Results from the Atacama B-mode Search (ABS) Experiment
- Systematic effects from an ambient-temperature, continuously-rotating half-wave plate
- QUBIC I: Overview and ScienceProgram
- The Simons Observatory: Constraining inflationary gravitational waves with multi-tracer B-mode delensing
- Modeling atmospheric emission for CMB ground-based observations
- The Simons Observatory: gain, bandpass and polarization-angle calibration requirements for B-mode searches
- Performance forecasts for the primordial gravitational wave detection pipelines for AliCPT-1
- GroundBIRD : A CMB polarization experiment with MKID arrays
- The Simons Observatory: pipeline comparison and validation for large-scale B-modes
- BICEP2 / Keck Array VII: Matrix based E/B Separation applied to BICEP2 and the Keck Array
- Two-year Cosmology Large Angular Scale Surveyor (CLASS) Observations: A First Detection of Atmospheric Circular Polarization at Q Band
- Making maps of Cosmic Microwave Background polarization for B-mode studies: the POLARBEAR example
- Characterizing Atacama B-mode Search Detectors with a Half-Wave Plate
- Large-scale power loss in ground-based CMB mapmaking
- A template of atmospheric O2 circularly polarized emission for CMB experiments
- A hybrid map- component separation method for primordial CMB -mode searches
- A Simulation-Based Method for Correcting Mode Coupling in CMB Angular Power Spectra