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   Recovery of high-dimensional sparse signals via ℓ 1 -minimization  
   
نویسنده wang s. ,su l.
منبع journal of applied mathematics - 2013 - دوره : 2013 - شماره : 0
چکیده    We consider the recovery of high-dimensional sparse signals via ℓ 1 -minimization under mutual incoherence condition,which is shown to be sufficient for sparse signals recovery in the noiseless and noise cases. we study both ℓ 1 -minimization under the ℓ 2 constraint and the dantzig selector. using the two ℓ 1 -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. © 2013 shiqing wang and limin su.
آدرس college of mathematics and information sciences,north china university of water resources and electric power, China, college of mathematics and information sciences,north china university of water resources and electric power, China
 
     
   
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