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http://dx.doi.org/10.6109/jkiice.2014.18.9.2087

Genetic Algorithm based Orthogonal Matching Pursuit for Sparse Signal Recovery  

Kim, Seehyun (Department of Information and Communications Engineering, The University of Suwon)
Abstract
In this paper, an orthogonal matching pursuit (OMP) method combined with genetic algorithm (GA), named GAOMP, is proposed for sparse signal recovery. Some recent greedy algorithms such as SP, CoSaMP, and gOMP improved the reconstruction performance by deleting unsuitable atoms at each iteration. However they still often fail to converge to the solution because the support set could not avoid the local minimum during the iterations. Mutating the candidate support set chosen by the OMP algorithm, GAOMP is able to escape from the local minimum and hence recovers the sparse signal. Experimental results show that GAOMP outperforms several OMP based algorithms and the $l_1$ optimization method in terms of exact reconstruction probability.
Keywords
genetic algorithm (GA); greedy algorithm; orthogonal matching pursuit (OMP); sparse signal reconstruction;
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1 J. Tropp, "Greed is good: algorithmic results for sparse approximation," IEEE Trans., Information Theory, vol. 50, no. 10, Oct. 2004, pp. 2231-2242.   DOI   ScienceOn
2 D. Donoho, et. al., "Sparse solution of underdetermined linear equations by stagewise orthogonal matching pursuit," IEEE Trans., Information Theory, vol. 58, no. 2, Feb. 2012, pp. 1094-1121.   DOI   ScienceOn
3 D. Needell and J. Tropp, "Cosamp: Iterative signal recovery from incomplete and inaccurate samples," Applied and Computational Harnonic Analysis, vol. 26, no. 3, May 2009, pp. 301-321.   DOI   ScienceOn
4 W. Dai and O. Milenkovic, "Subspace pursuit for compressive sensing signal reconstruction," IEEE Trans., Information Theory, vol. 55, no. 5, Feb. 2009, pp. 2230-2249.   DOI   ScienceOn
5 J. Wang, S. Kwon, and B. Shim, "Generalized orthogonal matching pursuit," IEEE Trans., Signal Processing, vol. 60, no. 12, Dec. 2012, pp. 6202-6216.   DOI
6 H. Huang and A. Makur, "Backtracking-based matching pursuit method for sparse signal reconstruction," IEEE Trans., Signal Processing Letters, vol. 18, no. 7, July 2011, pp. 391-394.   DOI
7 M. Mitchell, An Introduction to Genetic Algorithms, MIT Press, 1996.
8 http://sparselab.stanford.edu
9 D. Donoho, M. Elad, and V. Temlyakov, "Stable recovery of sparse overcomplete representation in the presence of noise," IEEE Trans., Information Theory, vol. 52, no. 1, Jan. 2006, pp. 6-18.   DOI
10 E. Candes, J. Romberg, and T. Tao, "Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information," IEEE Trans., Information Theory, vol. 52, no. 2, Feb. 2006, pp. 489-509.   DOI   ScienceOn
11 E. Candes and T. Tao, "Decoding by linear programming," IEEE Trans., Information Theory, vol. 51, no. 12, Dec. 2005, pp. 4203-4215.   DOI   ScienceOn
12 S. Mallat and Z. Zhang, "Matching pursuit with time-frequency dictionaries," IEEE Trans., Signal Processing, vol. 41, no. 12, Dec. 1993, pp. 3397-3415.   DOI   ScienceOn