On optimization of the measurement matrix for compressive sensing

European Signal Processing Conference

Volumn , Issue , 2010, Pages 427-431

  Abolghasemi, Vahid ^a   Ferdowsi, Saideh ^a   Makkiabadi, Bahador ^a,b   Sanei, Saeid ^a  

^a CARDIFF UNIVERSITY   (United Kingdom)

^b ISLAMIC AZAD UNIVERSITY   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

COMPRESSIVE SAMPLING; COMPRESSIVE SENSING; GAUSSIANS; GRADIENT DESCENT METHOD; GRAM MATRICES; MEASUREMENT MATRIX; MUTUAL COHERENCE; OFF-DIAGONAL ELEMENTS; RECONSTRUCTION QUALITY; REDUNDANT DICTIONARIES; SPARSE SIGNALS;

ALGORITHMS; SIGNAL RECONSTRUCTION; SIGNAL SAMPLING;

OPTIMIZATION;

EID: 84863797254     PISSN: 22195491     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (21)

1. D. Donoho. Compressed sensing. Information Theory, IEEE Transactions on, 52(4):1289-1306, April 2006.
2. E. J. Cand̀es, J. Romberg, and T. Tao. Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information. IEEE Transactions on Information Theory, 52(2):489-509, February 2006.
3. M. Lustig, D. Donoho, J.M. Santos, and J.M. Pauly. Compressed sensing MRI. Signal Processing Magazine, IEEE, 25(2):72-82, March 2008.
4. S.F. Cotter and B.D. Rao. Sparse channel estimation via matching pursuit with application to equalization. Communications, IEEE Transactions on, 50(3):374- 377, Mar 2002.
5. J. Bobin, J.-L. Starck, and R. Ottensamer. Compressed sensing in astronomy. Selected Topics in Signal Processing, IEEE Journal of, 2(5):718-726, Oct. 2008.
6. E. J. Cand̀es, J. K. Romberg, and T. Tao. Stable signal recovery from incomplete and inaccurate measurements. Communications on Pure and Applied Mathematics, 59(8):1207-1223, 2006.
7. E. J. Cand̀es and M. B.Wakin. An introduction to compressive sampling. IEEE Signal Processing Magazine, 25(2):21-30, March 2008.
8. J. A. Tropp and A. C. Gilbert. Signal recovery from random measurements via orthogonal matching pursuit. Information Theory, IEEE Transactions on, 53(12):4655-4666, Dec. 2007.
9. D. Donoho, Y. Tsaig, I. Drori, and J-l. Starck. Sparse solution of underdetermined linear equations by stagewise orthogonal matching pursuit. Technical report, 2006.
10. T. Blumensath and M. Davies. Iterative thresholding for sparse approximations. Journal of Fourier Analysis and Applications, 2004.
11. D. Donoho and P. B. Stark. Uncertainty principles and signal recovery. SIAM Journal on Applied Mathematics, 49(3):906-931, 1989.
12. M. Elad. Optimized projections for compressed sensing. Signal Processing, IEEE Transactions on, 55(12):5695-5702, Dec. 2007.
13. J.M. Duarte-Carvajalino and G. Sapiro. Learning to sense sparse signals: Simultaneous sensing matrix and sparsifying dictionary optimization. Image Processing, IEEE Transactions on, 18(7):1395-1408, July 2009.
14. P. Vinuelas-Peris and A. Artes-Rodriguez. Sensing matrix optimization in distributed compressed sensing. In Statistical Signal Processing, 2009. SSP'09. IEEE/SP 15th Workshop on, pages 638 -641, Aug. 2009.
15. V. Abolghasemi, S. Sanei, S. Ferdowsi, F. Ghaderi, and A. Belcher. Segmented compressive sensing. In Statistical Signal Processing, 2009. SSP'09. IEEE/SP 15th Workshop on, pages 630 -633, Aug. 2009.
16. M. Aharon, M. Elad, and A. Bruckstein. K-SVD: An algorithm for designing overcomplete dictionaries for sparse representation. Signal Processing, IEEE Transactions on, 54(11):4311-4322, 2006.
17. J.A. Tropp. Greed is good: algorithmic results for sparse approximation. Information Theory, IEEE Transactions on, 50(10):2231 - 2242, Oct. 2004.
18. D. L. Donoho and M. Elad. Optimally sparse representation in general (nonorthogonal) dictionaries via lminimization. PNAS, 100(5):2197-2202, March 2003.
19. A. Cichocki, R. Zdunek, A. H. Phan, and S. Amari. Nonnegative Matrix and Tensor Factorizations: Applications to Exploratory Multi-way Data Analysis and Blind Source Separation. John Wiley, 2009.
20. Y. Tsaig and D. L. Donoho. Extensions of compressed sensing. Signal Processing, 86(3):549 - 571, 2006. Sparse Approximations in Signal and Image Processing.
21. S. Sanei, A.H. Phan, Jen-Lung Lo, V. Abolghasemi, and A. Cichocki. A compressive sensing approach for progressive transmission of images. In Digital Signal Processing, 2009 16th International Conference on, pages 1 -5, Jul. 5-7 2009.