24 August 2015 Tightness of stability bounds by null space property
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Abstract
The null space property (NSP) and the restricted isometry property (RIP) are two properties which have received considerable attention in the compressed sensing literature. It is known that the null space property guarantees a less than ideal stability result. In this paper, we show that this bound is actually tight by specific construction, which implies a fundamental difference between NSP and RIP.
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Xuemei Chen, Xuemei Chen, Rongrong Wang, Rongrong Wang, } "Tightness of stability bounds by null space property", Proc. SPIE 9597, Wavelets and Sparsity XVI, 95970E (24 August 2015); doi: 10.1117/12.2186609; https://doi.org/10.1117/12.2186609
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