Wavelet-domain compressive signal reconstruction using a Hidden Markov Tree Model

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

Volumn , Issue , 2008, Pages 5137-5140

  Duarte, Marco F ^a   Wakin, Michael B ^b   Baraniuk, Richard G ^a  

^a Rice University

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Compressive sensing; Data compression; Hidden Markov Models; Signal reconstruction; Wavelet transforms

Indexed keywords

COMPRESSIVE SENSING; DATA COMPRESSION; HIDDEN MARKOV MODELS; INTERNATIONAL CONFERENCES; WAVELET TRANSFORMS;

ACOUSTICS; BOOLEAN FUNCTIONS; LINEAR PROGRAMMING; LINEARIZATION; SIGNAL PROCESSING; SIGNAL RECONSTRUCTION; SPEECH;

ITERATIVE METHODS;

EID: 51449090779     PISSN: 15206149     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICASSP.2008.4518815     Document Type: Conference Paper

References (14)

1. E. J. Candès, "Compressive sampling," in Proc. International Congress of Mathematicians, Madrid, Spain, 2006, vol. 3, pp. 1433-1452.
2. D. L. Donoho, "Compressed sensing," IEEE Trans. Info. Theory, vol. 52, no. 4, pp. 1289-1306, September 2006.
3. J. Tropp and A. C. Gilbert, "Signal recovery from partial information via orthogonal matching pursuit," IEEE Trans. Info. Theory, 2007, To appear.
4. J. Haupt and R. Nowak, "Signal reconstruction from noisy random projections," IEEE Transactions on Information Theory, vol. 52, no. 9, pp. 4036-4048, Sept. 2006.
5. S. Mallat, A Wavelet Tour of Signal Processing, Academic Press, San Diego, CA, USA, 1999.
6. M. S. Crouse, R. D. Nowak, and R G. Baraniuk, "Wavelet-based statistical signal processing using Hidden Markov Models," IEEE Trans. Signal Processing, vol. 46, no. 4, pp. 886-902, Apr. 1998.
7. J. K. Romberg, H. Choi, and R G. Baraniuk, "Bayesian tree-structured image modeling using wavelet-domain Hidden Markov Models," IEEE Trans. Image Processing, vol. 10, no. 7, pp. 1056-1068, July 2001.
8. D. L. Donoho and Y. Tsaig, "Extensions of compressed sensing," Signal Processing, vol. 86, no. 3, pp. 549-571, March 2006.
9. M. F. Duarte, M. B. Wakin, and R G Baraniuk, "Fast reconstruction of piecewise smooth signals from random projections," in Proc. SPARS05, Rennes, France, Nov. 2005.
10. C. La and M. N. Do, "Signal reconstruction using sparse tree representation," in Proc. Wavelets XI at SPIE Optics and Photonics, San Diego, CA Aug. 2005.
11. 1 minimization," Tech. Rep., California Institute of Technology, Pasadena, CA, Oct. 2007.
12. M. N. Do and M. Vetterli, "Wavelet-based texture retrieval using generalized Gaussian density and Kullback-Leibler distance," IEEE Trans. Image Processing, vol. 11, no. 2, pp. 146-158, 2002.
13. M. J. Wainwright and E. P. Simoncelli, "Scale mixtures of Gaussians and the statistics of natural images," in Neural Information Processing Systems (NIPS), S. A. Solla, T. K. Leen, and K.-R. Müller, Eds., Cambridge, MA Dec. 2000, vol. 12, pp. 855-861, MIT Press.
14. J. Kivinen, E. Sudderth, and M. Jordan, "Image denoising with non-parametric Hidden Markov Trees," in IEEE International Conference on Image Processing (ICIP), San Antonio, TX, Sept. 2007.