Recovery of High-Dimensional Sparse Signals via -Minimization

Shiqing Wang and Limin Su

Journal of Applied Mathematics, 2013, vol. 2013, 1-6

Abstract:

We consider the recovery of high-dimensional sparse signals via -minimization under mutual incoherence condition, which is shown to be sufficient for sparse signals recovery in the noiseless and noise cases. We study both -minimization under the constraint and the Dantzig selector. Using the two -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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:636094

DOI: 10.1155/2013/636094

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