Publications in VIVO

Co-author Network

Co-investigator Network

Somantika Datta Associate Professor

Positions

Associate Professor, Mathematics and Statistical Science , College of Science 2016 -
Assistant Professor, Mathematics and Statistical Science , College of Science 2010 - 2016

Publications

selected publications

academic article
- Equiangular frames and generalizations of the Welch bound to dual pairs of frames. Linear and Multilinear Algebra. 68:2495-2505. 2020
- Low coherence unit norm tight frames. Linear and Multilinear Algebra. 67:1174-1189. 2019
- Construction of k-Angle Tight Frames. Numerical Functional Analysis and Optimization. 37:975-989. 2016
- Welch bounds for cross correlation of subspaces and generalizations. Linear and Multilinear Algebra. 64:1484-1497. 2016
- Tight frames, partial isometries, and signal reconstruction. Applicable Analysis. 94:653-671. 2015
- Sampling of homogeneous polynomials and approximating multivariate functions. Advances in Pure and Applied Mathematics. 3:421-441. 2013
- Stability of efficient deterministic compressed sensing for images with chirps and Reed-Muller sequences. Applied Mathematics. 4:183-196. 2013
- Construction of zero autocorrelation stochastic waveforms. Advances in Pure Mathematics. 2:428-440. 2012
- Geometry of the Welch bounds. Linear Algebra and Its Applications. 437:2455-2470. 2012
- Discrete autocorrelation-based multiplicative MRAs and sampling on R. Sampling Theory in Signal and Image Processing. 10:111-133. 2011
- Efficient deterministic compressed sensing for images with chirps and Reed-Muller codes. SIAM Journal on Imaging Sciences. 4:931-953. 2011
- Construction of infinite unimodular sequences with zero autocorrelation. Advances in Computational Mathematics. 32:191-207. 2010
- Frames, Erasures, and Signal Estimation with Stochastic Models. Acta Applicandae Mathematicae.
chapter
- Constructions and a generalization of perfect autocorrelation sequences on Z. Multiscale Signal Analysis and Modeling. Springer. 183-207. 2012
conference paper
- Tight frames in spiral sampling. 10th International Conference on Sampling Theory and Applications. 472-475. 2013
- Using Reed-Muller codes as deterministic compressed sensing matrices for image reconstruction. 2010 IEEE International Conference on Acoustics Speech and Signal Processing. 465-468. 2010
- Image reconstruction by deterministic compressive sensing with chirp matrices. SPIE International Symposium on Multispectral Image Processing and Pattern Recognition. 2009
- Sampling of homogeneous polynomials. International Conference on Sampling Theory and Applications, 2009. 2009

presentations

invited talk
presentation
- Construction of Zero Autocorrelation Stochastic Waveforms, Contributor, Joint Mathematics Meeting 2011
- Low Autocorrelation Stochastic Sequences: Construction and Characterization, Speaker, Information Fusion Program Review (AFOSR) 2011
- Mathematics behind Signal Processing, Speaker, UI Colloquium 2011
- Spiral Sampling and Signal Reconstruction by Fourier Frames, Speaker, Joint UI-WSU Analysis Seminar 2011
- A Sampling Result for a Class of Functions on R, Speaker, UI Colloquium 2010
- Construction of Zero Autocorrelation Stochastic Waveforms, Speaker, Air Force Office of Scientific Research (AFOSR) Information Fusion Program Review 2010
- Sampling of Homogeneous Polynomials, Speaker, Conference on Sampling Theory and Applications 2009

Research

principal investigator on

CIF: Small: Stochastic frames in signal processing awarded by NSF Division of Computing and Communication Foundations (CCF) 2014 - 2017
Construction of unimodular sequences for waveform agile sensing awarded by Air Force Office of Scientific Research 2010 - 2013

Teaching

is major professor for

Generalizations and Approximations of Equiangular Tight Frames Thesis

Contact

full name

Somantika Datta