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arXiv · 1308.0455

New RIC Bounds via l_q-minimization with 0<q<=1 in Compressed Sensing

Shenglong Zhou·Lingchen Kong·Ziyan Luo·Naihua Xiu
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Abstract

The restricted isometry constants (RICs) play an important role in exact recovery theory of sparse signals via l_q(0 =4/3 to guarantee the exact recovery of k sparse signals through the l_1 minimization. This paper aims to establish new RICs bounds via l_q(0 1, (ii)several sufficient conditions can be derived, such as for any 0 =2, for any 1/2 =1, (iii) the bound on δ_k is given as well for any 0 =2) is even or δ_k<0.3203 when k(>=3) is odd.

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Shenglong Zhou, Lingchen Kong, Ziyan Luo, Naihua Xiu. 2013-08-02. New RIC Bounds via l_q-minimization with 0<q<=1 in Compressed Sensing. https://arxiv.org/abs/1308.0455

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