On the design of optimized projections for sensing sparse signals in overcomplete dictionaries

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

Volumn , Issue , 2012, Pages 3457-3460

  Chen, Wei ^a   Rodrigues, Miguel R D ^b   Wassell, Ian J ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b UNIVERSITY OF PORTO   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED FORM; COMPRESSIVE SENSING; GAUSSIANS; ITERATIVE DESIGN; OPTIMIZATION PROBLEMS; OVERCOMPLETE DICTIONARIES; PROJECTION MATRIX; RANDOM PROJECTIONS; SPARSE SIGNALS;

DESIGN; SIGNAL PROCESSING;

OPTIMIZATION;

EID: 84867624048     PISSN: 15206149     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICASSP.2012.6288660     Document Type: Conference Paper

References (9)

1. D.L. Donoho, "Compressed sensing," Information Theory, IEEE Transactions on, vol. 52, no. 4, pp. 1289 -1306, April 2006.
2. E.J. Candès, J. Romberg, and T. Tao, "Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information," Information Theory, IEEE Transactions on, vol. 52, no. 2, pp. 489-509, Feb. 2006.
3. M. Zibulevsky and M. Elad, "L1-l2 optimization in signal and image processing," Signal Processing Magazine, IEEE, vol. 27, no. 3, pp. 76-88, May 2010.
4. M. Elad, "Optimized projections for compressed sensing," Signal Processing, IEEE Transactions on, vol. 55, no. 12, pp. 5695-5702, Dec. 2007.
5. J.M. Duarte-Carvajalino and G. Sapiro, "Learning to sense sparse signals: Simultaneous sensing matrix and sparsifying dictionary optimization," Image Processing, IEEE Transactions on, vol. 18, no. 7, pp. 1395-1408, July 2009.
6. Jianping Xu, Yiming Pi, and Zongjie Cao, "Optimized projection matrix for compressive sensing," EURASIP J. Adv. Signal Process, vol. 43, pp. 1-8, Feb. 2010.
7. Z. Ben-Haim and Y.C. Eldar, "The cramér-rao bound for estimating a sparse parameter vector," Signal Processing, IEEE Transactions on, vol. 58, no. 6, pp. 3384-3389, June 2010.
8. Wei Chen, M.R.D. Rodrigues, and I.J.Wassell, "On the use of unit-norm tight frames to improve the average mse performance in compressive sensing applications," Signal Processing Letters, IEEE, vol. 19, no. 1, pp. 8-11, Jan. 2012.
9. D.L. Donoho, M. Elad, and V.N. Temlyakov, "Stable recovery of sparse overcomplete representations in the presence of noise," Information Theory, IEEE Transactions on, vol. 52, no. 1, pp. 6-18, 2006.