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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access May 21, 2015

An extended Prony’s interpolation scheme on an equispaced grid

Dovile Karalienė, Zenonas Navickas, Raimondas Čiegis and Minvydas Ragulskis
From the journal Open Mathematics

Abstract

An interpolation scheme on an equispaced grid based on the concept of the minimal order of the linear recurrent sequence is proposed in this paper. This interpolation scheme is exact when the number of nodes corresponds to the order of the linear recurrent function. It is shown that it is still possible to construct a nearest mimicking algebraic interpolant if the order of the linear recurrent function does not exist. The proposed interpolation technique can be considered as the extension of the Prony method and can be useful for describing noisy and defected signals.

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Received: 2014-5-29
Accepted: 2015-4-9
Published Online: 2015-5-21

©2015 Dovile Karalienė et al.

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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