Premium
Prony's Method for Multivariate Signals
Author(s) -
Peter Thomas,
Plonka Gerlind,
Schaback Robert
Publication year - 2015
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201510322
Subject(s) - multivariate statistics , extension (predicate logic) , exponential function , nonlinear system , inverse , sampling (signal processing) , amplitude , mathematics , inverse problem , algorithm , computer science , statistics , mathematical analysis , physics , computer vision , geometry , filter (signal processing) , quantum mechanics , programming language
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)