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- On the Doubly Sparse Compressed Sensing Problem arxiv link

Auteur(s): Vladuts S.

(Document sans référence bibliographique) 2015-09-23


Ref HAL: hal-01218678_v1
Ref Arxiv: 1509.07145
Ref. & Cit.: NASA ADS
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Résumé:

A new variant of the Compressed Sensing problem is investigated when the number of measurements corrupted by errors is upper bounded by some value l but there are no more restrictions on errors. We prove that in this case it is enough to make 2(t+l) measurements, where t is the sparsity of original data. Moreover for this case a rather simple recovery algorithm is proposed. An analog of the Singleton bound from coding theory is derived what proves optimality of the corresponding measurement matrices.



Commentaires: 6 pages, IMACC2015 (accepted)