Dokumente Fakultät für Mathematik und Informatik (inkl. GAUSS) nach Gutachter "Kunis, Stefan Prof. Dr."

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    • Ambiguities in one-dimensional phase retrieval from Fourier magnitudes 

      Beinert, Robert (2016-01-13)
      In many scientific areas, such as astronomy, electron microscopy, and crystallography, one is faced with the problem to recover an unknown signal from the magnitudes of its Fourier transform. Unfortunately, this phase ...

    • Application of AAK theory for sparse approximation 

      Pototskaia, Vlada (2017-10-27)
      Sparse approximation of structured signals is a common problem in signal processing and system theory. In particular, approximation by exponential sums often arises in natural sciences for the analysis of decay processes. ...

    • Reconstruction of Exponential Sums from Fourier Data via Rational Approximation 

      Petz, Markus (2022-07-08)
      We develop the new ESPIRA Algorithm to reconstruct exponential sums from discrete sample values, using the discrete Fourier transform of the given sample vector. We exploit the structure of the DFT values of samples from ...

    • The Generalized Operator Based Prony Method 

      Stampfer, Kilian (2019-05-10)
      The well known Prony method was introduced to reconstruct finite linear combinations of complex exponentials. A first approach towards generalizing this method to more arbitrary expansions was made by Peter & Plonka in ...