4 papers · 1 filter
Nonequispaced fast Fourier transforms for bandlimited functions
Melanie Kircheis, Daniel Potts
In this paper we consider the problem of approximating function evaluations at given nonequispaced points , , of a bandlimited fu…
Some remarks on regularized Shannon sampling formulas
Melanie Kircheis, Daniel Potts, Manfred Tasche
The fast reconstruction of a bandlimited function from its sample data is an essential problem in signal processing. In this paper, we consider the widely used Gaussian regularized…
Optimal density compensation factors for the reconstruction of the Fourier transform of bandlimited functions
Melanie Kircheis, Daniel Potts
An inverse nonequispaced fast Fourier transform (iNFFT) is a fast algorithm to compute the Fourier coefficients of a trigonometric polynomial from nonequispaced sampling data. Howe…
On numerical realizations of Shannon's sampling theorem
Melanie Kircheis, Daniel Potts, Manfred Tasche
In this paper, we discuss some numerical realizations of Shannon's sampling theorem. First we show the poor convergence of classical Shannon sampling sums by presenting sharp upper…