2019
DOI: 10.1049/iet-map.2019.0008
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Fast non‐convex compressed sensing approach for diagnosis of defective array elements using planar near‐field measurements

Abstract: The array diagnosis method using random perturbation‐convex local minimiser has to make a compromise between the probability of correct reconstruction and the computational burden. In order to overcome this limitation, in this study, a non‐convex ℓp (0 Show more

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Cited by 6 publications
(2 citation statements)
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“…But if the matrix is ill‐conditioned, there will be slower convergence and longer solution time, and the number of measurement points required by the algorithm is not less than the number of array elements. Some methods also have been recently proposed taking advantage of the theory of compressive sensing (CS) 8–12 . A sufficient condition for the CS‐based method to solve the sparse reconstruction problems is that the sampling matrix must satisfy the restricted isometry property.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…But if the matrix is ill‐conditioned, there will be slower convergence and longer solution time, and the number of measurement points required by the algorithm is not less than the number of array elements. Some methods also have been recently proposed taking advantage of the theory of compressive sensing (CS) 8–12 . A sufficient condition for the CS‐based method to solve the sparse reconstruction problems is that the sampling matrix must satisfy the restricted isometry property.…”
Section: Introductionmentioning
confidence: 99%
“…Some methods also have been recently proposed taking advantage of the theory of compressive sensing (CS). [8][9][10][11][12] A sufficient condition for the CS-based method to solve the sparse reconstruction problems is that the sampling matrix must satisfy the restricted isometry property. However, such a condition is not easy to verify because its results are computationally demanding.…”
Section: Introductionmentioning
confidence: 99%