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Design of Sampling Kernels and Sampling Rates for Two-Dimensional Finite Rate of Innovation Signals

De, A and Seelamantula, CS (2018) Design of Sampling Kernels and Sampling Rates for Two-Dimensional Finite Rate of Innovation Signals. In: 25th IEEE International Conference on Image Processing, ICIP 2018, 7 - 10 October 2018, Athens; Greece, pp. 1443-1447.

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Official URL: https://doi.org/10.1109/ICIP.2018.8451316

Abstract

This paper focuses on the design of sampling kernels and critical sampling rates for reconstruction of two-dimensional finite-rate-of-innovation (2D-FRI) signals from their samples. A class of aperiodic 2D sum-of-modulated-splines (2D-SMS) sampling kernels and sampling rates lower than the other state-of-the-art techniques are proposed. The 2D kernels proposed do not require a periodization to handle aperiodic signals. The proposed design also allows for reduced computation complexity. The reconstruction proceeds using the standard FRI reconstruction machinery. We demonstrate successful recovery using signals that are a sum of 2D Gaussians. The reconstruction performance of various members of the proposed family of kernels is evaluated through Monte Carlo simulations and compared against the Cramér-Rae lower bound (CRLB) for various noise levels. © 2018 IEEE.

Item Type: Conference Proceedings
Additional Information: Copyright for this article belongs to IEEE Computer Society.
Keywords: Image processing; Intelligent systems; Machinery; Monte Carlo methods; Sampling; Spectrum analysis, Annihilating filters; Cadzow denoising; Computation complexity; Critical sampling; Sampling rates; Spectral Estimation; State-of-the-art techniques; Two dimensional finite rate of innovations, Signal sampling
Department/Centre: Division of Electrical Sciences > Electrical Engineering
Depositing User: Id for Latest eprints
Date Deposited: 06 May 2019 12:43
Last Modified: 06 May 2019 12:43
URI: http://eprints.iisc.ac.in/id/eprint/62121

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