Compressed Sensing and the new radio observatories (LOFAR/NenuFAR/SKA) as new tools to discover and study transients in radio
Julien Girard  1@  , Stéphane Corbel  2@  , Jean-Luc Starck  3@  , Philippe Zarka  4, 5@  , Ming Jiang  3@  , Laurent Denis  6@  , Michel Tagger  6, 7@  , Alan Loh@
1 : Univ. Paris Diderot and CEA Saclay
AIM
2 : Univ. Paris Diderot and CEA Saclay
Université Paris Diderot - Paris 7, CEA
3 : Cosmostat  -  Website
Irfu, DSM, CEA-Saclay
Service d'Astrophysique, CEA-Saclay, 91191 Gif-sur-Yvette, France -  France
4 : Laboratoire d'études spatiales et d'instrumentation en astrophysique  (LESIA)  -  Website
Université Pierre et Marie Curie [UPMC] - Paris VI, Observatoire de Paris, INSU, CNRS : UMR8109, Université Paris VII - Paris Diderot, Université Pierre et Marie Curie (UPMC) - Paris VI
5, place Jules Janssen 92190 MEUDON -  France
5 : Observatoire de Paris  (LESIA)  -  Website
CNRS : UMR8109
Place J. Janssen 92190 Meudon -  France
6 : Unité Scientifique de la Station de Nançay  (USN)  -  Website
CNRS : USR704, Observatoire de Paris, Université d'Orléans
18330 NANCAY -  France
7 : Laboratoire de Physique et Chimie de l'Environnement et de l'Espace  (LPC2E)  -  Website
CNRS : UMR7328, Université d'Orléans, Observatoire de Paris
3A, Avenue de la Recherche Scientifique 45071 Orléans cedex 2 -  France

The next generation of giant and sensitive radio telescopes such as LOFAR and SKA, give access to a high-time resolution and high sensitivity window over a wide frequency spectrum. It can be exploited to study « slow » (>1s) and « fast » (<1s) transients from 10 MHz up to ~10 GHz. In the case of XRB, it enables the close and distant mapping of the compact jet (at high frequencies) and relativistic ejections during the intermediary states (at low frequencies). However, such instruments impose tremendous data rate and instrumental effects to account for before studying the transient unambiguously.
We developed at AIM/CEA a new method based on sparse representations in the “compressed sensing” framework, to reconstruct image cubes with temporal dependence from interferometric data. Where classical methods assumes constant sources during an observation, we provide a robust spatial deconvolution and temporal reconstruction of the transient time profile with better detection level than frame-to-frame detection. This new method could enable, in the scope of LOFAR and SKA, the potential detection of transients in real-time as well as in archive data. In a second part, we will present the NenuFAR instrument which is the deployed extension of the french LOFAR station. This instrument was designed (among its various scientific projects) as a transient observatory (« pulsar detection machine ») and might enable the observation of FRBs and Rotating Radio Transients (RRAT) at low frequencies (<100 MHz), complementary to other high frequency radio observatories.


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