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Reconstruction of Exponential Sums from Fourier Data via Rational Approximation

dc.contributor.advisorPlonka-Hoch, Gerlind Dr.
dc.contributor.authorPetz, Markus
dc.date.accessioned2022-07-08T07:58:47Z
dc.date.available2022-07-15T00:50:12Z
dc.date.issued2022-07-08
dc.identifier.urihttp://resolver.sub.uni-goettingen.de/purl?ediss-11858/14144
dc.identifier.urihttp://dx.doi.org/10.53846/goediss-9339
dc.language.isoengde
dc.subject.ddc510de
dc.titleReconstruction of Exponential Sums from Fourier Data via Rational Approximationde
dc.typedoctoralThesisde
dc.contributor.refereePlonka-Hoch, Gerlind Dr.
dc.date.examination2022-06-30de
dc.description.abstractengWe develop the new ESPIRA Algorithm to reconstruct exponential sums from discrete sample values, using the discrete Fourier transform of the given sample vector. We exploit the structure of the DFT values of samples from an exponential sum, which can be modelled by special rational functions. Our algorithm provides an alternative to the well-known Prony and Prony-type methods. Numerical experiments show that for noisy data our algorithm outperforms these methods.de
dc.contributor.coRefereeKunis, Stefan Prof. Dr.
dc.subject.engExponential Sumsde
dc.subject.engFourier Analysisde
dc.subject.engRational Approximationde
dc.subject.engProny's Methodde
dc.subject.engExponential Analysisde
dc.subject.engESPIRAde
dc.identifier.urnurn:nbn:de:gbv:7-ediss-14144-7
dc.affiliation.instituteFakultät für Mathematik und Informatikde
dc.subject.gokfullMathematics (PPN61756535X)de
dc.description.embargoed2022-07-15de
dc.identifier.ppn1809671280
dc.notes.confirmationsentConfirmation sent 2022-07-08T08:15:01de


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