On the digital filter associated with Daubechies' wavelets

  • Authors:
  • Ming-Jun Lai

  • Affiliations:
  • Dept. of Math., Georgia Univ., Athens, GA

  • Venue:
  • IEEE Transactions on Signal Processing
  • Year:
  • 1995

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Abstract

The magnitude of the filters associated with Daubechies' wavelets nψ is shown to monotonically converge to an ideal highpass filter when n→∞. The rate of the convergence is also given. The magnitude of each filter is shown to be monotonically increasing from [0,π]. The convergence does not have Gibbs' phenomenon