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Blind Calibration for Phase Shifts in Compressive Systems

Abstract : We consider a blind calibration problem in a compressed sensing measurement system in which each sensor introduces an unknown phase shift to be determined. We show that this problem can be approached similarly to the problem of phase retrieval from quadratic measurements. Furthermore, when dealing with measurements generated from multiple unknown (but sparse) signals, we extend the approach for phase retrieval to solve the calibration problem in order to recover the signals jointly along with the phase shift parameters. The proposed methods are shown to have significantly better recovery performance than individual recovery of the input signals when the number of input signals are sufficiently large.
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https://hal.inria.fr/hal-00811848
Contributor : Cagdas Bilen <>
Submitted on : Thursday, April 11, 2013 - 11:02:14 AM
Last modification on : Tuesday, June 15, 2021 - 4:11:15 PM
Long-term archiving on: : Friday, July 12, 2013 - 4:05:23 AM

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  • HAL Id : hal-00811848, version 1

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Cagdas Bilen, Rémi Gribonval, Gilles Puy, Laurent Daudet. Blind Calibration for Phase Shifts in Compressive Systems. Signal Processing with Adaptive Sparse Structured Representations (SPARS 2013), Jul 2013, Lausanne, Switzerland. ⟨hal-00811848⟩

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