Hermite Distributed Approximating Functionals as Almost-Ideal Low-Pass Filters

@inproceedings{Bodmann2006HermiteDA,
  title={Hermite Distributed Approximating Functionals as Almost-Ideal Low-Pass Filters},
  author={Bernhard G. Bodmann and David K. Hoffman},
  year={2006}
}
The two-parameter family of Hermite Distributed Approximating Functionals (HDAFs) is shown to possess all properties that are essential requirements in filter design. When properly scaled, HDAFs provide an arbitrarily sharp high-frequency cut-off while retaining their smoothness. More precisely, bounds on the Fourier transform of the HDAF integral kernel show that it converges almost-uniformly to the ideal window, and that the pass and transition bands can be tuned independently to any width… CONTINUE READING