scholarly journals The null space property for sparse recovery from multiple measurement vectors

2011 ◽  
Vol 30 (3) ◽  
pp. 402-406 ◽  
Author(s):  
Ming-Jun Lai ◽  
Yang Liu
Keyword(s):  
Null Space ◽  
Sparse Recovery ◽  
Multiple Measurement ◽  
Multiple Measurement Vectors ◽  
Null Space Property ◽  
Space Property

scholarly journals A rice method proof of the null-space property over the Grassmannian

2017 ◽  
Vol 53 (4) ◽  
pp. 1821-1838 ◽  
Author(s):  
Jean-Marc Azaïs ◽  
Stéphane Mourareau ◽  
Yohann De Castro
Keyword(s):  
Null Space ◽  
Null Space Property ◽  
Space Property

scholarly journals On the Null Space Property oflq-Minimization for0

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Yi Gao ◽  
Jigen Peng ◽  
Shigang Yue ◽  
Yuan Zhao
Keyword(s):  
Compressed Sensing ◽  
Null Space ◽  
Equivalent Form ◽  
Sparse Signals ◽  
Null Space Property ◽  
The Relationship ◽  
Space Property

The paper discusses the relationship between the null space property (NSP) and thelq-minimization in compressed sensing. Several versions of the null space property, that is, thelqstable NSP, thelqrobust NSP, and thelq,probust NSP for0<p≤q<1based on the standardlqNSP, are proposed, and their equivalent forms are derived. Consequently, reconstruction results for thelq-minimization can be derived easily under the NSP condition and its equivalent form. Finally, thelqNSP is extended to thelq-synthesis modeling and the mixedl2/lq-minimization, which deals with the dictionary-based sparse signals and the block sparse signals, respectively.

The Null Space Property of the Truncated $\ell _{1-2}$ -Minimization

2018 ◽  
Vol 25 (8) ◽  
pp. 1261-1265 ◽  
Author(s):  
Huanmin Ge ◽  
Jinming Wen ◽  
Wengu Chen
Keyword(s):  
Null Space ◽  
Null Space Property ◽  
Space Property

scholarly journals Sparse Recovery With Block Multiple Measurement Vectors Algorithm

IEEE Access ◽  
2019 ◽  
Vol 7 ◽  
pp. 9470-9475
Author(s):  
Yanli Shi ◽  
Libo Wang ◽  
Rong Luo
Keyword(s):  
Sparse Recovery ◽  
Multiple Measurement ◽  
Multiple Measurement Vectors
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