RESEARCH INTERESTS

Harmonic analysis, frame theory, wavelet theory and their applications in signal and image processing.

 

PUBLICATIONS

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"Frame Quantization Theory and Equiangular Tight Frames," PhD Thesis, Mathematics, Univ. Maryland at College Park (2007).

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"PCM - Sigma Delta comparison and Sparse Representation Quantization," with J. J. Benedetto (2008). Proceeding of CISS 2008 Invited Session on Sparse Representations and Frames, Princeton, NJ, USA.

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"Complex Sigma Delta quantization algorithms for finite frames,'' with J. J. Benedetto and A. Tangboondouangjit (2008). AMS Contemporary Mathematics 464, 27-51.

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"Pointwise comparison of PCM and Sigma Delta quantization," with J. J. Benedetto (2010), Constructive Approximation 32, 131-158.

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"GMSK signal compression for technology independent base stations," with M. Dellomo, unpublished.

 

 

 

TALKS AND PRESENTATIONS

 

"Coarse Quantization of Operators with Bounded and Bandlimited Symbols." Computational Analysis Seminar, Jacobs University Bremen, October 2009.

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"Zauner's Conjecture and Finite Equiangular Gabor (Weyl - Heisenberg) frames." Computational Analysis Seminar, Jacobs University Bremen, April 2009.

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"Empirical Mode Decomposition, Frames and Sparse Representation." Computational Analysis Seminar, Jacobs University Bremen, October 2008.

 

" PCM - Sigma Delta comparison and Sparse Representation Quantization ." Invited Session "Sparse Representations and Frames III: Quantization and Frames," CISS 2008 , Princeton, March 2008.

 

"Quantization of Finite Frame Expansions." Norbert Wiener Center , Maryland, November 2007.

 

"Minimization theorem for 1-bit quantization for finite frames." Special session "Computational Methods in Harmonic Analysis and Signal Processing," AMS 2007 Fall Western Section Meeting, Albuquerque, October 2007.