Publications

Journal Publications

Sobolev duals for random frames and Sigma-Delta quantization of compressed sensing measurements [arXiv:1002.0182v1], with S. Güntürk, A. Powell, and R. Saab.

Coarse quantization for random interleaved sampling of bandlimited signals [preprint version], with A. Powell, J. Tanner, and Y. Wang. Submitted.

The Golden Ratio Encoder [arXiv:0809.1257v1], with I. Daubechies, S. Güntürk, and Yang Wang. Submitted.

Sparse recovery by non-convex optimization -- instance optimality [preprint version] [journal version], with R. Saab, Applied and Computational Harmonic Analysis. Published online in August 2009.

Sobolev duals in frame theory and sigma-delta quantization, [preprint version] [journal version], with J. Blum, M. Lammers, and A. Powell, Journal of Fourier Analysis and Applications. Published online in October 2009.

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.

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) pp. 73-102.

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

Stable Sparse Approximation 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, with R. Saab, R. Abugharbieh, and M. McKeown [journal version], 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, May, 2002, Jun 2000, pp. 2985 - 2988.