Applications exponential approximation by integer shifts of Gaussian functions
https://doi.org/10.20914/2310-1202-2013-2-90-94
Abstract
In this paper we consider approximations of functions using integer shifts of Gaussians – quadratic exponentials. A method is proposed to find coefficients of node functions by solving linear systems of equations. The explicit formula for the determinant of the system is found, based on it solvability of linear system under consideration is proved and uniqueness of its solution. We compare results with known ones and briefly indicate applications to signal theory.
About the Authors
S. M. Sitnik
Воронеж. инст. МВД
Russian Federation
доцент, кафедра высшей математики
Russian Federation
доцент, кафедра высшей математики
A. S. Timashov
Воронеж. инст. МВД
Russian Federation
адъюнкт, кафедра высшей математики
Russian Federation
адъюнкт, кафедра высшей математики
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Review
For citations:
Sitnik S.M., Timashov A.S. Applications exponential approximation by integer shifts of Gaussian functions. Proceedings of the Voronezh State University of Engineering Technologies. 2013;(2):90-94. (In Russ.) https://doi.org/10.20914/2310-1202-2013-2-90-94
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