Volume 15, Issue 1 pp. 665-666
Section 21
Free Access

Prony's Method for Multivariate Signals

Thomas Peter

Corresponding Author

Thomas Peter

Institut für Mathematik, Universität Osnabrück, D-49076 Osnabrück, Germany

Institut für Mathematik, Universität Osnabrück, D-49076 Osnabrück, GermanySearch for more papers by this author
Gerlind Plonka

Gerlind Plonka

Institut für Numerische und Angewandte Mathematik, Georg-August-Universität Göttingen, D-37083 Göttingen, Germany

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Robert Schaback

Robert Schaback

Institut für Numerische und Angewandte Mathematik, Georg-August-Universität Göttingen, D-37083 Göttingen, Germany

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First published: 21 October 2015
Citations: 15

Abstract

The problem of recovering translates and corresponding amplitudes of sparse sums of Gaussians out of sampling values as well as reconstructing sparse sums of exponentials are nonlinear inverse problems that can be solved for example by Prony's method. Here, we want to demonstrate a new extension to multivariate input data. (© 2015 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)

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