Sparse recovery for compressive sensing via weighted Lp−q model
Filomat, Tome 36 (2022) no. 14, p. 4709

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In this paper, we study weighted L p−q minimization model which comprises non-smooth, non-convex and non-Lipschitz quasi-norm L p (0 p ≤ 1) and L q (1 q ≤ 2) for recovering sparse signals. Based on the restricted isometry property (RIP) condition, we obtain exact sparse signal recovery result. We also obtain the theoretical bound for the weighted L p−q minimization model when measurements are depraved by the noises.
DOI : 10.2298/FIL2214709N
Classification : 90C26
Keywords: Non-convexity, compressed sensing, restricted isometry property (RIP), sparse signal
H K Nigam; Saroj Yadav. Sparse recovery for compressive sensing via weighted Lp−q model. Filomat, Tome 36 (2022) no. 14, p. 4709 . doi: 10.2298/FIL2214709N
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     author = {H K Nigam and Saroj Yadav},
     title = {Sparse recovery for compressive sensing via weighted {Lp\ensuremath{-}q} model},
     journal = {Filomat},
     pages = {4709 },
     year = {2022},
     volume = {36},
     number = {14},
     doi = {10.2298/FIL2214709N},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2214709N/}
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