Influence of irregular node spacing in noisy rational interpolation.
1 : Astrophysique Relativiste Théories Expériences Métrologie Instrumentation Signaux
(ARTEMIS)
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Observatoire de la Cote d'Azur, CNRS : UMR7250, Université Nice Sophia Antipolis (UNS), INSU
Bd de l'Observatoire BP 4229 06304 NICE CEDEX 4 -
France
To the lowest order in the noise amplitude, a certain Froissart Polynomial (FP) governs part of the statistics of the zeros and poles in stochastically perturbed rational interpolation. The FP is actually a random polynomial and there is an interplay between the noise, the pattern of the interpolation nodes and the statistical pattern of the zeros of the FP.
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