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Wavelets and conjugate quadrature filters

  • Albert Cohen
  • Robert D. Ryan
Part of the Applied Mathematics and Mathematical Computation book series (AMMC)

Abstract

This chapter is devoted to characterizing those conjugate quadrature filters that are associated with localized multiresolution analyses and, hence, with orthonormal wavelets. In view of Theorem 1.1, this amounts to characterizing those filters m 0 that come from a scaling function φ that satisfies the localization property (1.18) and whose integer translates form an orthonormal system.

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Copyright information

© Springer Science+Business Media Dordrecht 1995

Authors and Affiliations

  • Albert Cohen
    • 1
  • Robert D. Ryan
    • 2
  1. 1.University of Paris VIFrance
  2. 2.ParisFrance

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