Browse > Article
http://dx.doi.org/10.6109/jkiice.2013.17.10.2252

Sparse Signal Recovery with Parallel Orthogonal Matching Pursuit for Multiple Measurement Vectors  

Park, Jeonghong (Department of Information and Communication Engineering, Gyeongsang National University)
Ban, Tae Won (Department of Information and Communication Engineering, Gyeongsang National University)
Jung, Bang Chul (Department of Information and Communication Engineering, Gyeongsang National University)
Abstract
In this paper, parallel orthogonal matching pursuit (POMP) is proposed to supplement the simultaneous orthogonal matching pursuit (S-OMP) which has been widely used as a greedy algorithm for sparse signal recovery for multiple measurement vector (MMV) problem. The process of POMP is simple but effective: (1) multiple indexes maximally correlated with the observation vector are chosen at the first iteration, (2) the conventional S-OMP process is carried out in parallel for each selected index, (3) the index set which yields the minimum residual is selected for reconstructing the original sparse signal. Empirical simulations show that POMP for MMV outperforms than the conventional S-OMP both in terms of exact recovery ratio (ERR) and mean-squared error (MSE).
Keywords
Compressed sensing; Sparse signal recovery; Simultaneous OMP; Multiple measurement vectors; Mean squared error;
Citations & Related Records
연도 인용수 순위
  • Reference
1 E. 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   ScienceOn
2 D. Donoho, "Compressed sensing," IEEE Trans. Inf. Theory, vol. 52, no. 4, pp. 1289-1306, Apr. 2006.   DOI   ScienceOn
3 B. C. Jung and W. -Y. Shin, "Applications of compressed sensing to next-generation communication networks," KICS Journal, Vol. 28, No. 9, pp. 69-75, Sept. 2011.
4 J. A. Tropp and A. C. Gilbert, "Signal Recovery From Random Measurements Via Orthogonal Matching Pursuit," IEEE Trans. Inf. Theory, vol. 53, no. 12, Dec. 2007.
5 D. Needell and J. A. Tropp, "CoSaMP: Iterative Signal Recovery from Incomplete and Inaccurate Samples," Applied and Computational Harmonic Analysis, vol. 26, no. 3, pp. 301-321, Mar. 2009.   DOI   ScienceOn
6 J. Chen and X. Huo, "Theoretical results on sparse representations of multiple measurement vectors," IEEE Trans. on Signal Processing, vol. 54, no. 12, pp. 4634- 4643, 2006.   DOI   ScienceOn
7 J. M. Kim, O. K. Lee, and J. Ye, "Compressive MUSIC: Revisiting the link between compressive sensing and array signal processing," IEEE Trans. Inf. Theory, vol. 58, No.1, pp. 278-301, Jan. 2012.   DOI   ScienceOn