Formulas for orthogonal iir wavelet filters

Research output: Contribution to journalArticle

Abstract

Explicit solutions are given for the rational function P(z) for two classes of IIR orthogonal two-band wavelet bases, for which the scaling filter is maximally flat. P(z) denotes the rational transfer function H(z)H(l/z), where H(z) is the (lowpass) scaling filter. The first is the class of solutions that are intermediate between the Daubechies and the Butterworth wavelets. It is found that the Daubechies, the Butterworth, and the intermediate solutions are unified by a single formula. The second is the class of scaling filters realizable as a parallel sum of two allpass filters (a particular case of which yields the class of symmetric IIR orthogonal wavelet bases). For this class, a closed-form solution is provided by the solution to an older problem in group delay approximation by digital allpole filters.

Original languageEnglish (US)
Pages (from-to)1138-1141
Number of pages4
JournalIEEE Transactions on Signal Processing
Volume46
Issue number4
DOIs
StatePublished - 1998

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Rational functions
Group delay
Digital filters
Transfer functions

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Signal Processing

Cite this

Formulas for orthogonal iir wavelet filters. / Selesnick, Ivan.

In: IEEE Transactions on Signal Processing, Vol. 46, No. 4, 1998, p. 1138-1141.

Research output: Contribution to journalArticle

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