The phase of the Daubechies filters

  • Djalil Kateb

    Université de Technologie de Compiègne, Compiègne, France
  • Pierre Gilles Lemarié-Rieusset

    Université d'Évry Val d'Essonne, Evry, France

Abstract

We give the first term of the asymptotic development for the phase of the NN-th (minimum-phased) Daubechies filter as NN goes to ++\infty. We obtain this result through the description of the complex zeros of the associated polynomial of degree 2N+12N+1.

Cite this article

Djalil Kateb, Pierre Gilles Lemarié-Rieusset, The phase of the Daubechies filters. Rev. Mat. Iberoam. 13 (1997), no. 2, pp. 245–305

DOI 10.4171/RMI/221