Compressed sensing for wide-field radio interferometric imaging

Abstract

For the next generation of radio interferometric telescopes it is of paramount importance to incorporate wide field-of-view (WFOV) considerations in interferometric imaging, otherwise the fidelity of reconstructed images will suffer greatly. We extend compressed sensing techniques for interferometric imaging to a WFOV and recover images in the spherical coordinate space in which they naturally live, eliminating any distorting projection. The effectiveness of the spread spectrum phenomenon, highlighted recently by one of the authors, is enhanced when going to a WFOV, while sparsity is promoted by recovering images directly on the sphere. Both of these properties act to improve the quality of reconstructed interferometric images. We quantify the performance of compressed sensing reconstruction techniques through simulations, highlighting the superior reconstruction quality achieved by recovering interferometric images directly on the sphere rather than the plane.

15 pages, 8 figures, replaced to match version accepted by MNRAS

References in corpus (14)

• Maps of Dust IR Emission for Use in Estimation of Reddening and CMBR Foregrounds
• HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere
• Extrapolation of Galactic Dust Emission at 100 Microns to CMBR Frequencies Using FIRAS
• Multi-Scale CLEAN deconvolution of radio synthesis images
• The non-coplanar baselines effect in radio interferometry: The W-Projection algorithm
• Compressed sensing imaging techniques for radio interferometry
• Exact reconstruction with directional wavelets on the sphere
• Fast directional continuous spherical wavelet transform algorithms
• Spread spectrum for imaging techniques in radio interferometry
• A generalised Measurement Equation and van Cittert-Zernike theorem for wide-field radio astronomical interferometry
• Simulating full-sky interferometric observations
• Compressed sensing reconstruction of a string signal from interferometric observations of the cosmic microwave background
• Optimal filters on the sphere
• Stable Signal Recovery from Incomplete and Inaccurate Measurements

Cited by in corpus (31)

• Imaging the Schwarzschild-radius-scale Structure of M87 with the Event Horizon Telescope using Sparse Modeling
• Sparsity Averaging Reweighted Analysis (SARA): a novel algorithm for radio-interferometric imaging
• PURIFY: a new approach to radio-interferometric imaging
• LOFAR Sparse Image Reconstruction
• Super-resolution Full Polarimetric Imaging for Radio Interferometry with Sparse Modeling
• Radio Continuum Surveys with Square Kilometre Array Pathfinders
• Spread spectrum magnetic resonance imaging
• Scalable splitting algorithms for big-data interferometric imaging in the SKA era
• Uncertainty quantification for radio interferometric imaging: I. proximal MCMC methods
• MORESANE: MOdel REconstruction by Synthesis-ANalysis Estimators. A sparse deconvolution algorithm for radio interferometric imaging
• Robust sparse image reconstruction of radio interferometric observations with purify
• Superresolution Interferometric Imaging with Sparse Modeling Using Total Squared Variation --- Application to Imaging the Black Hole Shadow
• Uncertainty quantification for radio interferometric imaging: II. MAP estimation
• An accelerated splitting algorithm for radio-interferometric imaging: when natural and uniform weighting meet
• Non-convex optimization for self-calibration of direction-dependent effects in radio interferometric imaging
• High accuracy wide field imaging method in radio interferometry
• Probabilistic image reconstruction for radio interferometers
• Sparse image reconstruction on the sphere: implications of a new sampling theorem
• A Fourier dimensionality reduction model for big data interferometric imaging
• Revisiting the spread spectrum effect in radio interferometric imaging: a sparse variant of the w-projection algorithm
• The w-effect in interferometric imaging: from a fast sparse measurement operator to super-resolution
• Bayesian sparse reconstruction: a brute-force approach to astronomical imaging and machine learning
• Tensor optimisation for optical-interferometric imaging
• Optimal Arrays for Compressed Sensing in Snapshot-Mode Radio Interferometry
• Compressed sensing for radio interferometric imaging: review and future direction
• $w$-stacking $w$-projection hybrid algorithm for wide-field interferometric imaging: implementation details and improvements
• Direct deconvolution of radio synthesis images using L1 minimisation
• Distributed and parallel sparse convex optimization for radio interferometry with PURIFY
• PURIFY: a new algorithmic framework for next-generation radio-interferometric imaging
• Quantifying Uncertainty in High Dimensional Inverse Problems by Convex Optimisation
• The varying w spread spectrum effect for radio interferometric imaging