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OperA: Operator-Based Annihilation for Finite-Rate-of-Innovation Signal Sampling

Seelamantula, Chandra Sekhar (2015) OperA: Operator-Based Annihilation for Finite-Rate-of-Innovation Signal Sampling. In: 10th International Conference on Sampling Theory and Applications (SampTA), JUL 01-05, 2013, Bremen, GERMANY, pp. 461-484.

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Official URL: http://dx.doi.org/10.1007/978-3-319-19749-4_13


We consider the problem ofhttps://eprints.iisc.ernet.in/secure/54573/1/Pro_ASME_Int_Mec_Eng_Con_Exp_V02AT02A048_2015.pdf finite-rate-of-innovation (FRI) signal sampling, which received a lot of attention from the sampling community in the past decade. Specifically, we consider the mechanism of reconstruction based on the notion of annihilation and show that one can design annihilators based on linear differential operators and translation operators. By working in the continuous domain, we show that annihilation can be achieved on nonuniform grids using derivative-type sampling approaches and on interleaved sampling grids using translation-operator-based annihilators. The standard annihilation procedure operating in the discrete domain becomes a special case of this approach. We show perfect reconstruction results with the sampling approaches considered and present simulation results to support the theoretical calculations. We also establish a link between annihilation and exponential-spline construction. Monte Carlo performance analysis in the presence of noise shows that annihilation on interleaved sampling grids leads to more noise-robust estimates than annihilation on uniform sampling grids.

Item Type: Conference Proceedings
Series.: Applied and Numerical Harmonic Analysis
Additional Information: Copy right for this article belongs to the BIRKHAUSER BOSTON, 675 MASSACHUSETTS AVE, CAMBRIDGE, MA 02139-2333 USA
Department/Centre: Division of Electrical Sciences > Electrical Engineering
Date Deposited: 25 Aug 2016 10:44
Last Modified: 25 Aug 2016 10:44
URI: http://eprints.iisc.ac.in/id/eprint/54574

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