A low-rank and joint-sparsity model for hyper-spectral radio-interferometric imaging. Abdulaziz, A., Dabbech, A., Onose, A., & Wiaux, Y. In 2016 24th European Signal Processing Conference (EUSIPCO), pages 388-392, Aug, 2016.
A low-rank and joint-sparsity model for hyper-spectral radio-interferometric imaging [pdf]Paper  doi  abstract   bibtex   
With the advent of the next-generation radio-interferometric telescopes, like the Square Kilometre Array, novel signal processing methods are needed to provide the expected imaging resolution and sensitivity from extreme amounts of hyper-spectral data. In this context, we propose a generic non-parametric low-rank and joint-sparsity image model for the regularisation of the associated wide-band inverse problem. We pose a convex optimisation problem and propose the use of an efficient algorithmic solver. The proposed optimisation task requires only one tuning parameter, namely the relative weight between the low-rank and joint-sparsity constraints. Our preliminary simulations suggest superior performance of the model with respect to separate single band imaging, as well as to other recently promoted non-parametric wide-band models leveraging convex optimisation.

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