Schnelle Algorithmen für effiziente Darstellungen von Signalen

in redundanten Frames

(07/2010-06/2013)

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

Principal investigator: Gerlind Plonka-Hoch
Staff: Thomas Peter

Corresponding publications

	The Generalized Operator-Based Prony Method Kilian Stampfer, Gerlind Plonka Constructive Approximation 52, 247-287, 2020, preprint as download.
	Deterministic sparse FFT for M-sparse vectors Gerlind Plonka, Katrin Wannenwetsch, Annie Cuyt, Wen-Shin Lee Numerical Algorithms 78(1), 133-159, 2018, 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.