Publications

Coarse quantization for random interleaved sampling of bandlimited signals, (joint with J. Tanner, Y. Wang, O. Yilmaz), submitted.

Regularity for complete and minimal Gabor systems on a lattice, (joint with C. Heil), submitted.

Mean squared error bounds for the Rangan-Goyal soft thresholding algorithm, Applied and Computational Harmonic Analysis, to appear.

Sobolev duals in frame theory and sigma-delta quantization, (joint with J. Blum, M. Lammers and O. Yilmaz), Journal of Fourier Analysis and Applications, to appear.

Alternative dual frames for digital-to-analog conversion in Sigma-Delta quantization, (joint with M. Lammers and O. Yilmaz), Advances in Computational Mathematics, to appear.

Uncertainty principles for orthonormal sequences, (joint with P. Jaming), Journal of Functional Analysis, 243, (2007), 611-630.

Gabor Schauder bases and the Balian-Low Theorem, (joint with C. Heil), Journal of Mathematical Physics, 47, 113506 (2007), 21 pages.

An optimal example for the Balian-Low uncertainty principle, (joint with J. Benedetto and W. Czaja), SIAM Journal on Mathematical Analysis, 38, (2006), 333-345.

Recent developments in the Balian-Low Theorem, (joint with W. Czaja), in Harmonic Analysis and Applications (edited by C. Heil), Birkhauser, Boston, 2006.

Sigma-Delta quantization and finite frames, (joint with J. Benedetto and O. Yilmaz), IEEE Transactions on Information Theory, 52 (2006), 1990--2005.

An endpoint (1,infinity) Balian-Low Theorem, (joint with J. Benedetto, W. Czaja, J. Sterbenz), Mathematical Research Letters, 13 (2006), 467-474.

A (p,q) version of Bourgain's theorem, (joint with J. Benedetto), Transactions of the AMS, 358 (2006), 2489--2505.

Second order Sigma-Delta quantization of finite frame expansions, (joint with J. Benedetto and O. Yilmaz), Applied and Computational Harmonic Analysis, 20 (2006), 126--148.

Time-frequency mean and variance sequences of orthonormal bases, Journal of Fourier Analysis and Applications, 11 (2005), 375--387.

Orthonormalized coherent states, in Wavelets, Frames, and Operator Theory (C. Heil, P. Jorgenson, D. Larson, editors), AMS Contemporary Mathematics, 345 (2004), 283--297.

The Balian-Low Theorem and regularity of Gabor systems, (joint with J. Benedetto, W. Czaja, and P. Gadzinski), Journal of Geometric Analysis, 13 (2003), 239--254.

Estimation algorithms with noisy frame coefficients, invited, Wavelets XII (San Diego, CA, 2007), SPIE Proc., SPIE Bellingham, WA, 2007.

On quantization of finite frame expansions: sigma-delta schemes of arbitrary order, invited, (joint with M. Lammers and O. Yilmaz), Wavelets XII (San Diego, CA, 2007), SPIE Proc., SPIE Bellingham, WA, 2007.

Analog to digital conversion for finite frames, invited, (joint with J. Benedetto and O. Yilmaz), Wavelets XI (San Diego, CA, 2005), SPIE Proc., SPIE Bellingham, WA, 2005.

Sigma-Delta quantization and finite frames, invited, (joint with J. Benedetto and O. Yilmaz), Proceedings of ICASSP-2004, IEEE International Conference on Acoustics, Speech, and Signal Processing, Montreal, May 2004.

MRI signal reconstruction by Fourier frames on interleaving spirals, (joint with J. Benedetto and H.-C. Wu), Proceedings of the 2002 IEEE International Symposium on Biomedical Imaging, Washington, DC, July 2002.