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2015 | 13 | 1 |
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An extended Prony’s interpolation scheme on an equispaced grid

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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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  • Department of Applied Mathematics, Kaunas University of Technology, Studentu 50-325,
    LT-51368, Kaunas, Lithuania
  • Department of Applied Mathematics, Kaunas University of Technology, Studentu 50-325,
    LT-51368, Kaunas, Lithuania
  • Department of Mathematical Modelling, Vilnius Gediminas Technical University, Sauletekio 11, LT-10223, Vilnius,
  • Research Group for Mathematical and Numerical Analysis of Dynamical Systems, Kaunas University of
    Technology, Studentu 50-147, LT-51368, Kaunas, Lithuania
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