Compressed sensing reconstruction of a string signal from interferometric observations of the cosmic microwave background

Abstract

We propose an algorithm for the reconstruction of the signal induced by cosmic strings in the cosmic microwave background (CMB), from radio-interferometric data at arcminute resolution. Radio interferometry provides incomplete and noisy Fourier measurements of the string signal, which exhibits sparse or compressible magnitude of the gradient due to the Kaiser-Stebbins (KS) effect. In this context the versatile framework of compressed sensing naturally applies for solving the corresponding inverse problem. Our algorithm notably takes advantage of a model of the prior statistical distribution of the signal fitted on the basis of realistic simulations. Enhanced performance relative to the standard CLEAN algorithm is demonstrated by simulated observations under noise conditions including primary and secondary CMB anisotropies.

11 pages, 6 figures. Version 2 matches version accepted for publication in MNRAS. Changes include minor clarifications

References in corpus (11)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Data Processing, Sky Maps, and Basic Results
• Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Temperature Analysis
• Compressed sensing imaging techniques for radio interferometry
• The Arcminute Microkelvin Imager
• CMB power spectrum contribution from cosmic strings using field-evolution simulations of the Abelian Higgs model
• Small-Angle CMB Temperature Anisotropies Induced by Cosmic Strings
• Spread spectrum for imaging techniques in radio interferometry
• Detecting Cosmic Strings in the CMB with the Canny Algorithm
• Wavelet domain Bayesian denoising of string signal in the cosmic microwave background

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