dc.contributor.advisor | Plonka-Hoch, Gerlind Dr. | |
dc.contributor.author | Petz, Markus | |
dc.date.accessioned | 2022-07-08T07:58:47Z | |
dc.date.available | 2022-07-15T00:50:12Z | |
dc.date.issued | 2022-07-08 | |
dc.identifier.uri | http://resolver.sub.uni-goettingen.de/purl?ediss-11858/14144 | |
dc.identifier.uri | http://dx.doi.org/10.53846/goediss-9339 | |
dc.language.iso | eng | de |
dc.subject.ddc | 510 | de |
dc.title | Reconstruction of Exponential Sums from Fourier Data via Rational Approximation | de |
dc.type | doctoralThesis | de |
dc.contributor.referee | Plonka-Hoch, Gerlind Dr. | |
dc.date.examination | 2022-06-30 | de |
dc.description.abstracteng | We 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.coReferee | Kunis, Stefan Prof. Dr. | |
dc.subject.eng | Exponential Sums | de |
dc.subject.eng | Fourier Analysis | de |
dc.subject.eng | Rational Approximation | de |
dc.subject.eng | Prony's Method | de |
dc.subject.eng | Exponential Analysis | de |
dc.subject.eng | ESPIRA | de |
dc.identifier.urn | urn:nbn:de:gbv:7-ediss-14144-7 | |
dc.affiliation.institute | Fakultät für Mathematik und Informatik | de |
dc.subject.gokfull | Mathematics (PPN61756535X) | de |
dc.description.embargoed | 2022-07-15 | de |
dc.identifier.ppn | 1809671280 | |
dc.notes.confirmationsent | Confirmation sent 2022-07-08T08:15:01 | de |