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.