University of Göttingen - Institute for Numerical and Applied Mathematics
Research group for Mathematical Signal and Image Processing


Schnelle Algorithmen für effiziente Darstellungen von Signalen

in redundanten Frames

(07/2010-06/2013)

Solitoneneigenschaften
Graduiertenkolleg der DFG (GRK 1023) (Identifikation in mathematischen Modellen: Synergie stochastischer und numerischer Methoden).



Principal investigator: Gerlind Plonka-Hoch
Staff: Thomas Peter

Corresponding publications
Deterministic sparse FFT for M-sparse vectors
Gerlind Plonka, Katrin Wannenwetsch, Annie Cuyt, Wen-Shin Lee
Numerical Algorithms, to appear, 2017, revised preprint as download.
Sparse phase retrieval of one-dimensional signals by Prony's method
Robert Beinert, Gerlind Plonka
Frontiers of Applied Mathematics and Statistics 3:5, 2017, open access, preprint as download.
A generalized Prony method for reconstruction of sparse sums of eigenfunctions of linear operators
Thomas Peter, Gerlind Plonka
Inverse Problems 29, 2013, 025001, revised preprint as download.
Representation of sparse Legendre expansions
Thomas Peter, Gerlind Plonka, Daniela Rosca
Journal of Symbolic Computation 50, 2013, 159-169, preprint as download.
Approximation by k-sparse sums of eigenfunctions of linear operators
Thomas Peter, Gerlind Plonka
Oberwolfach Reports 31/2012, 2012, 16-18, pdf as download.
Sparse deconvolution methods for ultrasonic NDT
Florian Boßmann, Gerlind Plonka, Thomas Peter, Oliver Nemitz, Till Schmitte
Journal of Nondestructive Evaluation 31(3), 2012, 225-244, open access, revised preprint as download.
Nonlinear approximation by sums of exponentials and translates
Thomas Peter, Daniel Potts, Manfred Tasche
SIAM J. Sci. Comput. 33(4), 2011, 1920-1947, preprint as download.
Parameterbestimmung bei anharmonischen Fouriersummen mittels approximativer Prony-Methode
Thomas Peter
Universität Rostock, Institut für Mathematik, Oktober 2009, Diplomarbeit, Betreuer: Prof. Dr. Manfred Tasche.



Research Group for Mathematical Signal and Image Processing

Institute for Numerical and Applied Mathematics
Lotzestr. 16-18
37083 Göttingen