A block orthogonal matching pursuit algorithm based on sensing dictionary

International Journal of Physical Sciences

Volumn 6, Issue 5, 2011, Pages 992-999

  Huang, Anmin ^a   Guan, Gui ^a,b   Wan, Qun ^a   Mehbodniya, Abolfazl ^b  

^a UNIVERSITY OF ELECTRONIC SCIENCE AND TECHNOLOGY OF CHINA   (China)

^b TOHOKU UNIVERSITY   (Japan)

Author keywords

Block sparsity; Orthogonal matching pursuit; Sensing dictionary; Sparse reconstruction

Indexed keywords

EID: 79956200978     PISSN: 19921950     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (12)

1. Chen SS, Donoho DL, Saunders MA (1999). Atomic decomposition by basis pursuit. SIAM J. Sci. Comput., 20(1): 33-61.
2. Pati YC, Rezaiifar R, Krishnaprasad PS (1993). Orthogonal matching pursuit: Recursive function approximation with applications to wavelet decomposition. Proc. 27th Annu. Asilomar Conf. Signals, Systems, and Computers, Pacific Grove, CA., 1: 40-44.
3. Donoho DL, Huo X (2001). Uncertainty principles and ideal atomic decompositions. IEEE Trans. Inf. Theory, 47(7): 2845-2862.
4. Tropp J (2004). Greed is good: Algorithmic results for sparse approximation. IEEE Trans. Inf. Theory, 50(10): 2231-2242.
5. Eldar YC, Mishali M (2009). Robust recovery of signals from a structured union of subspaces. IEEE Trans. Inf. Theory, 55(11): 5302-5316.
6. th Int, Conf. Digital Signal Process., 7: 1-8.
7. Stojnic M, Parvaresh F, Hassibi B (2010). On the reconstruction of block-sparse signals with an optimal number of measurements. IEEE Trans. Signal Process., 57(8): 3075-3085.
8. Eldar YC, Kuppinger P, Bolcskei H, Block-Sparse signals: Uncertainty relations and efficient recovery. IEEE Trans. Signal Process., 58(6): 3042-3054.
9. Peotta L, Vandergheynst P (2007). Matching pursuit with block incoherent dictionaries. IEEE Trans. Signal Process., 55(9): 4549-4557.
10. Tropp JA, Dhillon IS, Heath RW, Strohmer T (2005). Designing structured tight frames via an alternating projection method. IEEE Trans. Inf. Theory, 51(1): 188-209.
11. Dhillon IS, Heath RW, Strohmer T, Tropp JA (2007). Constructing packing in Grassmannian manifolds via alternating projection. Published electronically at http://citeseerx.ist.psu.edu/.
12. Schnass K, Vandergheynst P (2008). Dictionary Preconditioning for Greedy Algorithms. IEEE Trans. Signal Process., 56(5): 1994 -2002.