Year: 2024
Author: Ningning Li, Wengu Chen, Huanmin Ge
Journal of Computational Mathematics, Vol. 42 (2024), Iss. 1 : pp. 271–288
Abstract
This paper considers a corrupted compressed sensing problem and is devoted to recover signals that are approximately sparse in some general dictionary but corrupted by a combination of interference having a sparse representation in a second general dictionary and measurement noise. We provide new restricted isometry property (RIP) analysis to achieve stable recovery of sparsely corrupted signals through Justice Pursuit De-Noising (JPDN) with an additional parameter. Our main tool is to adapt a crucial sparse decomposition technique to the analysis of the Justice Pursuit method. The proposed RIP condition improves the existing representative results. Numerical simulations are provided to verify the reliability of the JPDN model.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.2204-m2021-0333
Journal of Computational Mathematics, Vol. 42 (2024), Iss. 1 : pp. 271–288
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Justice Pursuit De-Noising Restricted isometry property Corrupted compressed sensing Signal recovery.