Compressive sensing using the modified entropy functional
Date
2014-01
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Abstract
In most compressive sensing problems, 1 norm is used during the signal reconstruction process. In this article, a modified version of the entropy functional is proposed to approximate the 1 norm. The proposed modified version of the entropy functional is continuous, differentiable and convex. Therefore, it is possible to construct globally convergent iterative algorithms using Bregman’s row-action method for compressive sensing applications. Simulation examples with both 1D signals and images are presented. © 2013 Elsevier Inc. All rights reserved.
Source Title
Compressive sensing
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Academic Press
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Modified entropy functional, Projection onto convex sets, Iterative row-action methods, Bregman-projection, Proximal splitting
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English