Ehrhart polynomials, successive minima, and an Ehrhart theory for rational dilates of a rational polytope

Magdeburg, Univ., Fak. für Mathematik, Diss., 2011

Extremal self-dual codes

Magdeburg, Univ., Fak. für Mathematik, Diss., 2012

Low autocorrelation sequences and flat polynomials

Magdeburg, Univ., Fak. für Mathematik, Habil.-Schr., 2014

Verification of system properties of polynomial systems using discrete-time approximations and set-based analysis

Magdeburg, Univ., Fak. für Elektrotechnik und Informationstechnik, Diss., 2015

Comparative Analysis of Signals Restoration by Different Kinds of Approximation

The comparative analysis of continuous signals restoration by different kinds of approximation is performed. The software product, allowing to define optimal method of different original signals restoration by Lagrange polynomial, Kotelnikov interpolation series, linear and cubic splines, Haar wavelet and Kotelnikov-Shannon wavelet based on criterion of minimum value of mean-square deviation is proposed. Practical recommendations on the selection of approximation function for different class of signals are obtained.