Blind Sensor Calibration in Sparse Recovery Using Convex Optimization

  title={Blind Sensor Calibration in Sparse Recovery Using Convex Optimization},
  author={Çağdaş Bilen and Gilles Puy and R{\'e}mi Gribonval and Laurent Daudet},
Abstract—We investigate a compressive sensing system in which the sensors introduce a distortion to the measurements in the form of unknown gains. We focus on blind calibration, using measures performed on a few unknown (but sparse) signals. We extend our earlier study on real positive gains to two generalized cases (signed real-valued gains; complex-valued gains), and show that the recovery of unknown gains together with the sparse signals is possible in a wide variety of scenarios. The… CONTINUE READING
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Blind Sensor Calibration in Sparse Recovery

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  • International Biomedical and Astronomical Signal…
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Distributed optimization and statistical learning via the alternating direction method of multipliers

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