CentraleSupélec (3, rue Joliot Curie,
Plateau de Moulon,
91192 GIF-SUR-YVETTE Cedex - France)
2Electrical Engineering Institute - EPFL (Swiss Federal Institute of Technology (EPFL) EPFL-FSTI IEL-LTS2, Station 11 Lausanne 1015 - Switzerland - Switzerland)
Abstract : We consider the problem of calibrating a compressed sensing measurement system under the assumption that the decalibration consists of unknown complex gains on each measure. We focus on {\em blind} calibration, using measures performed on a few unknown (but sparse) signals. In the considered context, we study several sub-problems and show that they can be formulated as convex optimization problems, which can be solved easily using off-the-shelf algorithms. Numerical simulations demonstrate the effectiveness of the approach even for highly uncalibrated measures, when a sufficient number of (unknown, but sparse) calibrating signals is provided.
https://hal.inria.fr/hal-00751360
Contributor : Cagdas Bilen
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Submitted on : Tuesday, November 13, 2012 - 11:46:41 AM
Last modification on : Thursday, March 21, 2019 - 2:44:51 PM
Long-term archiving on : Thursday, February 14, 2013 - 3:41:12 AM
Cagdas Bilen, Gilles Puy, Rémi Gribonval, Laurent Daudet. Blind Sensor Calibration in Sparse Recovery. international biomedical and astronomical signal processing (BASP) Frontiers workshop, Jan 2013, Villars-sur-Ollon, Switzerland. ⟨hal-00751360⟩
