Home

Brief Bio

Research

Publications

Teaching

Patents & Software

Activities

Students - Postdocs

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

PUBLICATIONS

JOURNAL PUBLICATIONS

Fighting the curse of dimensionality: compressive sensing in exploration seismology, with M.P. Friedlander and F. Herrmann. Submitted.

Recovering Compressively Sampled Signals Using Partial Support Information [arXiv:1010.4612v1], with M.P. Friedlander, H. Mansour, and R. Saab. IEEE Transactions on Information Theory. Accepted.

Sobolev duals for random frames and sigma-delta quantization of compressed sensing measurements [arXiv:1002.0182v1], with S. Güntürk, M. Lammers, A. Powell, and R. Saab. Submitted.

Phase aliasing correction for robust blind source separation using DUET, with Y. Wang and Z. Zhou. Preprint.

Coarse quantization for random interleaved sampling of bandlimited signals [preprint version], with A. Powell, J. Tanner, and Y. Wang, ESAIM: Mathematical Modelling and Numerical Analysis. Accepted.

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

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

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, Vol. 16 (3) (2010) pp. 365-381.

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, Vol. 32 (1) (2010) pp. 73-102.

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, Vol. 35 (4) (2009) pp. 1-16.

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

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, Vol. 55 (8), (2007) pp. 4004-4017.

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

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

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

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

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

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

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

 

CONFERENCE PROCEEDINGS

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], Proceedings of Conference on Information Sciences and Systems (CISS) 2010, with S. Güntürk, M. Lammers, A. Powell, and R. Saab.

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

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.