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Please use this identifier to cite or link to this item: http://dspace.bsu.edu.ru/handle/123456789/34349
Title: Signal approximations by shifted Gaussians: a direct approach by finite linear systems
Authors: Sitnik, S. M.
Timashov, A. S.
Ushakov, S. N.
Keywords: mathematics
mathematical analysis
linear equations
linear systems
signal approximations
interpolation
Issue Date: 2020
Citation: Sitnik, S.M. Signal approximations by shifted Gaussians: a direct approach by finite linear systems / S.M. Sitnik, A.S. Timashov, S.N. Ushakov // Journal of Physics: Conference Series. - 2020. - Vol. 1479. - Art. 012046. - Doi:10.1088/1742-6596/1479/1/012046. - (Applied Mathematics, Computational Science and Mechanics: Current Problems : conf. proceeding, Voronezh, 11-13 November 2019).
Abstract: In this paper we consider interpolation problem connected with series by integer shifts of Gaussians. Known approaches for these problems met numerical difficulties. Due to it another method is considered based on finite-rank approximations by linear systems. The main result for this approach is to establish correctness of the finite-rank linear system under consideration. And the main result of the paper is to prove correctness of the finite-rank linear system approximation. For that an explicit formula for the main determinant of the linear system is derived to demonstrate that it is non-zero
URI: http://dspace.bsu.edu.ru/handle/123456789/34349
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