Recovery of High‐Dimensional Sparse Signals via ℓ1‐Minimization

Shiqing Wang and Limin Su

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: We consider the recovery of high‐dimensional sparse signals via ℓ1‐minimization under mutual incoherence condition, which is shown to be sufficient for sparse signals recovery in the noiseless and noise cases. We study both ℓ1‐minimization under the ℓ2 constraint and the Dantzig selector. Using the two ℓ1‐minimization methods and a technical inequality, some results are obtained. They improve the results of the error bounds in the literature and are extended to the general case of reconstructing an arbitrary signal.

Date: 2013
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https://doi.org/10.1155/2013/636094

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:636094

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