Topics in Compressive Sampling

This seminar course is aimed at introducing and surveying some of the current literature in compressive sampling. Examination will be in the form of presentations and assignments.

Literature:

• E. Candès and M. Wakin, "An introduction to compressive sampling" (IEEE Signal Processing Magazine, March 2008).
• R. Chartrand, "Exact reconstructions of sparse signals via nonconvex minimization" (IEEE Signal Processing Letters, Oct. 2007).
• A. Zymnis, S. Boyd, and E. Candes, "Compressed Sensing with Quantized Measurements" (IEEE Signal Processing Letters, Feb. 2010).
• D. Giacobello, M. G. Christensen, M. N. Murthi, S. H. Jensen, and M. Moonen, "Retrieving Sparse Patterns using a Compressed Sensing Framework: Applications to Speech Coding based on Sparse Linear Prediction" (IEEE Signal Processing Letters, Jan. 2010).
• G. Gasso, A. Rakotomamonjy, and S. Canu, "Recovering sparse signals with non-convex penalties and DC programming" (IEEE Trans. Signal Processing, Dec. 2009). [code]
• P. Flandrin and P. Borgnat, "Time-Frequency Energy Distributions Meet Compressed Sensing" (to appear in IEEE Trans. Signal Processing).
• J. M. Duarte-Carvajalino and G. Sapiro, "Learning to sense sparse signals: Simultaneous sensing matrix and sparsifying dictionary optimization" (IEEE Trans. Image Processing, July 2009).
• J. P. Haldar and D. Hernando, "Rank-Constrained Solutions to Linear Matrix Equations using Power Factorization" (IEEE Signal Processing Letters, July 2009).
• S. S. Chen, D. L. Donoho, and M. A. Saunders, "Atomic Decomposition by Basis Pursuit" (SIAM Review, 2001).
• M. A. Davenport, P. T. Boufounos, M. B. Wakin, and R. G. Baraniuk, "Signal Processing with Compressive Measurements" (IEEE Journal of Selected Topics in Signal Processing, April 2010).
• G. Tang and A. Nehorai, "Performance analysis for sparse support recovery" (IEEE Trans. Information Theory, March 2010).
• Z. Ben-Haim and Y. C. Eldar, The Cramér-Rao Bound for Estimating a Sparse Parameter Vector, IEEE Trans. Signal Processing, June 2010.
• C.D. Austin, R. L. Moses, J. N. Ash, and E. Ertin, “On the Relation Between Sparse Sampling and Parametric Estimation”, IEEE Journal of Selected Topics in Signal Processing, June 2010.

Most papers are available at http://dsp.rice.edu/cs.