MERS: Moment Expanded Radio Sky

A framework for modeling radio foregrounds using power-law ensemble moment expansion formalism for 21cm cosmology applications.

Overview

This repository implements and analyzes radio foreground modeling techniques using a power-law ensemble moment expansion formalism.

Project Structure

The analysis is organized into three main components:

1. Diffuse Foreground Model Comparison

Notebook: ME_diffuse_sky_map.ipynb

Comparative analysis of CNN-PL vs GSM models using full-sky maps:

• Loss map comparisons: Evaluate fitting performance across different maximum moment orders
• Moment map comparisons: Compare spatial distributions of moment coefficients between sky models

2. Beam Chromaticity and Point Source Impact Analysis

Notebook: ME_TOD_beam_ptsrc.ipynb

Time-ordered data (TOD) analysis examining various observational scenarios:

• Ideal case: no point sources, no beam effects
• Gaussian achromatic beam
• Sinc² achromatic beam
• Sinc² chromatic beam

3. Global 21cm Foreground Modeling

Notebook: ME_global21_fg.ipynb

Advanced foreground mitigation techniques for global 21cm experiments using Sinc² chromatic beam:

• BCF method: Beam Convolution Function approach (implemented, not good)
• SVD method: Singular Value Decomposition beam modeling (implemented, not good)
• Map-making approach: Monopole reconstruction using limTOD (TBD)
• ...