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"GMSK signal compression for technology independent base stations," with M. Dellomo, unpublished. |
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TALKS AND PRESENTATIONS
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"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. |
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" PCM - Sigma Delta comparison and Sparse Representation Quantization ." Invited Session "Sparse Representations and Frames III: Quantization and Frames," CISS 2008 , Princeton, March 2008. | |
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"Quantization of Finite Frame Expansions." Norbert Wiener Center , Maryland, November 2007. | |
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"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. |