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

Publisher

Academic Press

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Keywords

Modified entropy functional, Projection onto convex sets, Iterative row-action methods, Bregman-projection, Proximal splitting

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Published Version (Please cite this version)

Language

English