Numerical Algorithms

, Volume 4, Issue 3, pp 307–322

Convergence of cascade algorithms introduced by I. Daubechies

  • Sylvain Durand

DOI: 10.1007/BF02145750

Cite this article as:
Durand, S. Numer Algor (1993) 4: 307. doi:10.1007/BF02145750


Orthonormal wavelets are often constructed by an iteration procedure commonly referred to as thecascade algorithm. We obtain an asymptotic expansion and deduce necessary and sufficient conditions for convergence in Sobolev norms.

Copyright information

© J.C. Baltzer AG, Science Publishers 1993

Authors and Affiliations

  • Sylvain Durand
    • 1
  1. 1.CEREMADEUniversité Paris-DauphineParis Cedex 16France