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PUBLICATIONS

BOOK CHAPTER

Quantization and Finite Frames, Chapter 8 (pages 267-302) in "Finite frames: Theory and Applications" (edited by P. Casazza and G. Kutyniok), Birkhauser, Boston, 2012.


JOURNAL PUBLICATIONS

Non-Convex Compressed Sensing Using Partial Support Information [arXiv:1306.4549], with N. Ghadermarzy and H. Mansour. Submitted.

Sigma-Delta quantization of sub-Gaussian frame expansions and its application to compressed sensing [arXiv:1306.4549][journal version], with F. Krahmer and R. Saab. Information and Inference. In press (available online).

Improved wavefield reconstruction from randomized sampling via weighted one-norm minimization [preprint version][journal version], with H. Mansour and F. Herrmann. Geophysics. 78(5) V193–V206 (2013)

Phase aliasing correction for robust blind source separation using DUET [preprint version][journal version], with Y. Wang and Z. Zhou. Applied and Computational Harmonic Analysis. 35(2):341–349 (2013)

Sobolev duals for random frames and sigma-delta quantization of compressed sensing measurements [preprint version][journal version], with S. Güntürk, M. Lammers, A. Powell, and R. Saab. Foundations of Computational Mathematics. 13(1):1–36 (2013).

Fighting the curse of dimensionality: compressive sensing in exploration seismology [preprint version][journal version], with M.P. Friedlander and F. Herrmann. IEEE Signal Processing Magazine, 29(3):88–100, 2012.

Recovering compressively sampled signals using partial support information [arXiv:1010.4612v1][journal version], with M.P. Friedlander, H. Mansour, and R. Saab. IEEE Transactions on Information Theory, 58(2):1122–1134, 2012.

Coarse quantization for random interleaved sampling of bandlimited signals [preprint version][journal version], with A. Powell, J. Tanner, and Y. Wang, ESAIM: Mathematical Modelling and Numerical Analysis. 46(3):605–618, 2012.

The Golden Ratio Encoder [arXiv:0809.1257v1] [journal version], with I. Daubechies, S. Güntürk, and Y. Wang, IEEE Transactions on Information Theory, 56(10):5097-5110, 2010.

Sparse recovery by non-convex optimization -- instance optimality [preprint version] [journal version], with R. Saab, Applied and Computational Harmonic Analysis, 29(1):30-48, 2010.

Sobolev duals in frame theory and sigma-delta quantization [preprint version] [journal version] [erratum], with J. Blum, M. Lammers, and A. Powell, Journal of Fourier Analysis and Applications, 16(3):365-381, 2010.

Alternative dual frames for digital-to-analog conversion in sigma-delta quantization [preprint version] [journal version], with M. Lammers and A. Powell, Advances in Computational Mathematics, 32(1):73-102, 2010.

SPARCO: A toolbox for testing sparse reconstruction algorithms [preprint version] [journal version], with E. van den Berg, M. P. Friedlander, G. Hennenfent, F. Herrmann, and R. Saab, ACM Transactions on Mathematical Software, 35(4):1-16, 2009.

Bayesian wavefield separation by transform-domain sparsity promotion [journal version], with D. Wang, R. Saab, and F. Herrmann, Geophysics, 73(5):1-6, 2008.

Underdetermined Anechoic Blind Source Separation via l^q-Basis-Pursuit with $q<1$ [preprint version] [journal version], with R. Saab, R. Abugharbieh, and M. McKeown, IEEE Transactions on Signal Processing, 55(8):4004-4017, 2007.

Robust and practical analog-to-digital conversion with exponential precision [preprint version] [journal version],  with I. Daubechies, IEEE Transactions on Information Theory, 52(8):3533-3545, 2006.

Sigma-Delta quantization and finite frames [preprint verision] [journal version], with J. Benedetto and A. Powell, IEEE Transactions on Information Theory, 52(5):1990-2005, 2006.

Second order Sigma-Delta quantization of finite frame expansions [preprint version] [journal version], with J. Benedetto and A. Powell, Applied and Computational Harmonic Analysis, 20(1):126-148, 2006 .

On coarse quantization of tight Gabor frame expansions [preprint version] [journal version], International Journal of Wavelets, Multiresolution and Information Processing, 3(2):283-299, 2005.

Blind separation of speech mixtures via time-frequency masking [preprint version] [journal version], with S. Rickard, IEEE Transactions on Signal Processing, 52(7):1830-1847, 2004. 

Coarse quantization of highly redundant time-frequency representations of square-integrable functions [preprint version] [journal version], Applied and Computational Harmonic Analysis, 14(2):107-132, 2003.

Stability analysis for several sigma-delta methods of coarse quantization of bandlimited functions [preprint version] [journal version], Constructive Approximation, 18(4):599-623, 2002.  

 

CONFERENCE PROCEEDINGS

A sparse randomized Kaczmarz algorithm [journal version], with H. Mansour, Proceedings of IEEE Global Conference on Signal and Information Processing 2013.

Weighted approximate message passing algorithms for sparse recovery [journal version], with N. Ghadermarzy. SPIE Wavelets and Sparsity XV, San Diego, Aug 2013.

Sigma-Delta quantization of sub-Gaussian compressed sensing measurements [journal version], with F. Krahmer and R. Saab. Proceedings of International Conference on Sampling Theory and Applications (SampTA) 2013.

Support driven reweighted 1-norm minimization [preprint version][journal version], with H. Mansour, International Conference on Acoustics, Speech, and Signal Processing (ICASSP), 2012.

Adaptive compressed sensing for video acquisition [preprint version][journal version], with H. Mansour. International Conference on Acoustics, Speech, and Signal Processing (ICASSP) 2012

Weighted 1-norm minimization with multiple weighting sets, [preprint version], with H. Mansour, SPIE Wavelets and Sparsity XIV, San Diego, Aug 2011.

Sigma-Delta quantization for compressed sensing [journal version], with S. Güntürk, M. Lammers, A. Powell, and R. Saab, Proceedings of Conference on Information Sciences and Systems (CISS) 2010.

Sobolev duals of random frames [journal version], with S. Güntürk, M. Lammers, A. Powell, and R. Saab, Proceedings of Conference on Information Sciences and Systems (CISS) 2010

Stable Sparse Approximations via Nonconvex Optimization [preprint version], International Conference on Acoustics, Speech, and Signal Processing (ICASSP), 2008, with R. Saab and R. Chartrand.

Curvelet-based Primary-Multiple Separation from a Bayesian Perspective [preprint version], Annual Meeting International Society Exploratory Geophysics, San Antonio, Texas, 2007, with R. Saab, D. Wang, and F. J. Herrmann.

Recent results in curvelet-based primary-multiple separation: application to real data [preprint version], Annual Meeting International Society Exploratory Geophysics, San Antonio, Texas, 2007, with R. Saab, D. Wang, and F. J. Herrmann.

On quantization of finite frame expansions: sigma-delta schemes of arbitrary order [preprint version] [journal version], with M. Lammers and A. Powell, SPIE, Wavelets XII, San Diego, Aug. 2007.

Blind Separation of Anechoic Underdetermined Speech Mixtures Using Multiple Sensors [journal version], with R. Saab, R. Abugharbieh, and M. McKeown, Proceedings of International Symposium on Signal Processing and Information Theory (ISSPIT06), Vancouver, Canada, 2006

Analog-to-digital conversion for finite frames [preprint version] [journal version], SPIE, Wavelets XI, San Diego, Jul. 2005, (invited), with J. Benedetto and A. Powell,

Sigma-delta quantization and finite frames [preprint version] [journal version], with J. Benedetto and A. Powell, Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing, May 2004, pp. 937 - 940, (invited).

On the W-disjoint orthogonality of speech [preprint version] [journal version], with S. Rickard, Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing, May 2002, pp. 529 - 532.

Blind Separation of Disjoint Orthogonal Signals: Demixing n Sources From Two Mixtures [preprint version] [journal version], with S. Rickard and A. Jourjine, Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing, Jun 2000, pp. 2985 - 2988.