An extended Prony’s interpolation scheme on an equispaced grid
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 poss...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2015-05-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2015-0031 |
| Summary: | 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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| ISSN: | 2391-5455 |