### Abstract

Radio-interferometric (RI) imaging can be formulated as

an inverse problem, where the objective is to estimate a sky intensity image from degraded undersampled Fourier measurements. Future radio telescopes aim at improving imaging resolution and sensitivity by orders of magnitude. At this precision level, the reconstruction quality will be limited by the unknown calibration kernels. Accurate calibration of the array during imaging is thus needed, leading to a blind deconvolution problem. Recently, we have proposed a non-convex optimisation method to perform joint calibration and imaging in the context of monochromatic imaging, assuming that the calibration kernels are smooth both in space and time. In the current work, we extend this approach to wideband imaging by further assuming spectral smoothness of the calibration kernels. The resulting problem is solved using an alternating forwardbackward scheme, benefiting from convergence guarantees.

an inverse problem, where the objective is to estimate a sky intensity image from degraded undersampled Fourier measurements. Future radio telescopes aim at improving imaging resolution and sensitivity by orders of magnitude. At this precision level, the reconstruction quality will be limited by the unknown calibration kernels. Accurate calibration of the array during imaging is thus needed, leading to a blind deconvolution problem. Recently, we have proposed a non-convex optimisation method to perform joint calibration and imaging in the context of monochromatic imaging, assuming that the calibration kernels are smooth both in space and time. In the current work, we extend this approach to wideband imaging by further assuming spectral smoothness of the calibration kernels. The resulting problem is solved using an alternating forwardbackward scheme, benefiting from convergence guarantees.

Original language | English |
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Number of pages | 1 |

Publication status | Published - Feb 2019 |

Event | International BASP Frontiers workshop 2019 - Villars sur Ollon, Switzerland Duration: 3 Feb 2019 → 8 Feb 2019 http://www.baspfrontiers.org |

### Workshop

Workshop | International BASP Frontiers workshop 2019 |
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Country | Switzerland |

City | Villars sur Ollon |

Period | 3/02/19 → 8/02/19 |

Internet address |

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## Cite this

Dabbech, A., Repetti, A., & Wiaux, Y. (2019).

*Self Direction-Dependent Calibration For Wideband Radio-Interferometric Imaging*. Paper presented at International BASP Frontiers workshop 2019, Villars sur Ollon, Switzerland.