Journal
SIGNAL PROCESSING
Volume 143, Issue -, Pages 161-170Publisher
ELSEVIER
DOI: 10.1016/j.sigpro.2017.09.003
Keywords
Sparse signal recovery; Compressive sensing; Alternating projection; Restricted isometry constant
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Funding
- Natural Science Foundation of China [11401463, 11771347]
- fundamental research funds for the central universities
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Sparse signal recovery has attracted great attention in recent years with the development of compressive sensing. Alternating projection method is employed for this kind of recovery in this paper. The method is intuitive and can be easily implemented. The performance of the method is almost the same as that of basis pursuit (BP), while the computational cost is much lower. Restricted isometry constants and singular values of the coefficient matrix are utilized for the theoretical analyses of the method. Two sufficient conditions for the convergence and two estimates of the convergence rate are given. Numerical experiments are presented to show the performance of the method. (C) 2017 Published by Elsevier B.V.
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