Browse > Article
http://dx.doi.org/10.1109/JCN.2016.000100

Sparse Signal Recovery via Tree Search Matching Pursuit  

Lee, Jaeseok (Dept. of Information and Communication Engineering, Daegu Gyeongbuk Institute of Science and Technology)
Choi, Jun Won (Dept. of Electrical Engineering, Hanyang University)
Shim, Byonghyo (Institute of New Media and Communications and School of Electrical and Computer Engineering, Seoul National University)
Publication Information
Abstract
Recently, greedy algorithm has received much attention as a cost-effective means to reconstruct the sparse signals from compressed measurements. Much of previous work has focused on the investigation of a single candidate to identify the support (index set of nonzero elements) of the sparse signals. Well-known drawback of the greedy approach is that the chosen candidate is often not the optimal solution due to the myopic decision in each iteration. In this paper, we propose a tree search based sparse signal recovery algorithm referred to as the tree search matching pursuit (TSMP). Two key ingredients of the proposed TSMP algorithm to control the computational complexity are the pre-selection to put a restriction on columns of the sensing matrix to be investigated and the tree pruning to eliminate unpromising paths from the search tree. In numerical simulations of Internet of Things (IoT) environments, it is shown that TSMP outperforms conventional schemes by a large margin.
Keywords
Compressive sensing; greedy algorithm; sparse recovery; tree pruning; tree search;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
연도 인용수 순위
1 W. Chen, M. R. D. Rodrigues, I. J. Wassell, and L. Hanzo, "Projection design for statistical compressive sensing: A tight frame based approach," IEEE Trans. Signal Process., vol. 61, no. 8, pp. 2016-2029, April 2013.   DOI
2 T. Zhang, "Sparse recovery with orthogonal matching pursuit under RIP," IEEE Trans. Inf. Theory, vol. 57, no. 9, pp. 6215-6221, Sept. 2011.   DOI
3 J. Wang, S. Kwon, and B. Shim, "Generalized orthogonal matching pursuit," IEEE Trans. Signal Process., vol. 60, no. 12, pp. 6202-6216, Dec. 2012.   DOI
4 G. D. Forney Jr., "The Viterbi algorithm," in Proc. IEEE, pp. 268-278, Mar. 1973.
5 E. Viterbo and J. Boutros, "A universal lattice code decoder for fading channels," IEEE Trans. Inf. Theory, vol. 45, no. 5, pp. 1639-1642, July 1999.   DOI
6 B. Shim and I. Kang, "Sphere decoding with a probabilistic tree pruning," IEEE Trans. Signal Process., vol. 56, no. 10, pp. 4867-4878, Oct. 2008.   DOI
7 J. Choi, B. Lee and B. Shim, "Iterative group detection and decoding for large MIMO systems," J. Commun. and Netw., vol 17. pp. 609-621, Dec. 2015.   DOI
8 E. J. Candes, J. Romberg, and T. Tao, "Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information," IEEE Trans. Inf. Theory, vol. 52, no. 2, pp. 489-509, Feb. 2006.   DOI
9 E. J. Candes and T. Tao, "Decoding by linear programming," IEEE Trans. Inf. Theory, vol. 51, no. 12, pp. 4203-4215, Dec. 2005,   DOI
10 E. Liu and V. N. Temlyakov, "The orthogonal super greedy algorithm and applications in compressed sensing," IEEE Trans. Inf. Theory, vol. 58, no. 4, pp. 2040-2047, Apr. 2012.   DOI
11 E. J. Candes, "The restricted isometry property and its implications for compressed sensing," Comptes Rendus Mathematique, vol. 346, no. 9-10, pp. 589-592, May 2008.   DOI
12 R. Tibshirani, "Regression shrinkage and selection via the Lasso," J. Royal Stat. Soc. Series B, vol. 58, no. 1, pp. 267-288, 1996.
13 E. J. Candes and T. Tao, "The dantzig selector: statistical estimation when p is much larger than n," The Annal. Stat., vol. 35, no. 6, pp. 2313-2351, Dec. 2007.   DOI
14 T. T. Cai and L. Wang, "Orthogonal matching pursuit for sparse signal recovery with noise," IEEE Trans. Inf. Theory, vol. 57, no. 7, pp. 4680-4688, July 2011.   DOI
15 T. Blumensath and M. E. Davies, "Iterative hard thresholding for compressed sensing," Applied and Computational Harmonic Analysis, vol. 27, no. 3, pp. 265-274, Nov. 2009.   DOI
16 J. Wang and B. Shim, "On the recovery limit of sparse signals using orthogonal matching pursuit," IEEE Trans. Signal Process., vol. 60, no. 9, pp. 4973-4976, Sept. 2012.   DOI
17 D. Needell and J. A. Tropp, "CoSaMP: Iterative signal recovery from incomplete and inaccurate samples," ACM Commun., vol. 53, no. 12, pp. 93-100, Dec. 2010.
18 W. Dai and O. Milenkovic, "Subspace pursuit for compressive sensing signal reconstruction," IEEE Trans. Inf. Theory, vol. 55, no. 5, pp. 2230-2249, May 2009.   DOI
19 R. Garg and R. Khandekar, "Gradient descent with sparsification: An iterative algorithm for sparse recovery with restricted isometry property," in Proc. Annual International Conf. Machine Learning, pp. 337-344, May 2009.
20 S. Foucart, "Hard thresholding pursuit: An algorithm for compressive sensing," SIAM J. Numerical Analysis, vol. 49, no. 6, pp. 2543-2563, Dec. 2011.   DOI
21 M. A. Khajehnejad, A. G. Dimakis, W. Xu, and B. Hassibi, "Sparse recovery of nonnegative signals with minimal expansion," IEEE Trans. Signal Process., vol. 59, no. 1, pp. 196-208, Jan. 2011.   DOI
22 S. Qaisar, R. M. Bilal, W. Iqbal, M. Naureen, and S. Lee, "Compressive sensing: From theory to applications, a survey," J. Commun. Netw., vol. 15, no. 5, pp. 443-456, Oct. 2013.   DOI
23 S. Kwon, J. Wang, and B. Shim, "Multipath matching pursuit," IEEE Trans. Inf. Theory, vol. 56, no. 10, pp. 4867-4878, Oct. 2013.
24 S. S. Chen, D. L. Donoho, and M. A. Saunders, "Atomic decomposition by basis pursuit," SIAM J. Scientific Comput., pp. 33-61, 1998.