Convex Optimization Approaches for Blind Sensor Calibration Using Sparsity

@article{Bilen2014ConvexOA,
  title={Convex Optimization Approaches for Blind Sensor Calibration Using Sparsity},
  author={Cagdas Bilen and Gilles Puy and R{\'e}mi Gribonval and Laurent Daudet},
  journal={IEEE Transactions on Signal Processing},
  year={2014},
  volume={62},
  pages={4847-4856}
}
We investigate a compressive sensing framework 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 multiple unknown (but sparse) signals and formulate the joint recovery of the gains and the sparse signals as a convex optimization problem. We divide this problem in 3 subproblems with different conditions on the gains, specifically i) gains with different amplitude and the same phase, ii) gains… CONTINUE READING
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