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An iterative framework for sparse signal reconstruction algorithms

Ambat, Sooraj K and Hari, KVS (2015) An iterative framework for sparse signal reconstruction algorithms. In: SIGNAL PROCESSING, 108 . pp. 351-364.

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Official URL: http://dx.doi.org/ 10.1016/j.sigpro.2014.09.023

Abstract

It has been shown that iterative re-weighted strategies will often improve the performance of many sparse reconstruction algorithms. However, these strategies are algorithm dependent and cannot be easily extended for an arbitrary sparse reconstruction algorithm. In this paper, we propose a general iterative framework and a novel algorithm which iteratively enhance the performance of any given arbitrary sparse reconstruction algorithm. We theoretically analyze the proposed method using restricted isometry property and derive sufficient conditions for convergence and performance improvement. We also evaluate the performance of the proposed method using numerical experiments with both synthetic and real-world data. (C) 2014 Elsevier B.V. All rights reserved.

Item Type: Journal Article
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Additional Information: Copyright for this article belongs to the ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
Keywords: Compressed sensing; Sparse recovery; Sparse signal; Signal reconstruction; Iterative algorithms
Department/Centre: Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited: 21 Jan 2015 06:48
Last Modified: 21 Jan 2015 06:48
URI: http://eprints.iisc.ernet.in/id/eprint/50738

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