Design of real and complex linear-phase IIR modified QMF banks

Alfonso Fernandez-Vazquez, Gordana Jovanovic-Dolecek

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

A design of linear-phase IIR (Infinite Impulse Response) modified QMF banks including both real and complex valued coefficients is proposed. This design is based on parallel structure of two complex allpass filters. We first introduce a complex analog allpass filter, designed using elliptic functions and the PR (Perfect Reconstruction) conditions. We use bilinear transformation to obtain the digital counterpart of this analog allpass filter. Depending on the parity of the order N of the complex allpass filter, the resulting IIR filters in the filter bank can be either real or complex. If N is even, the IIR filters are real, otherwise they are complex. Using complex IIR analysis filters, the corresponding magnitude responses have an extra zero around ω = 3π/2. The method is illustrated by means of examples.

Original languageEnglish
Title of host publicationAPCCAS 2006 - 2006 IEEE Asia Pacific Conference on Circuits and Systems
Pages1063-1066
Number of pages4
DOIs
StatePublished - 2006
Externally publishedYes
EventAPCCAS 2006 - 2006 IEEE Asia Pacific Conference on Circuits and Systems - , Singapore
Duration: 4 Dec 20066 Dec 2006

Publication series

NameIEEE Asia-Pacific Conference on Circuits and Systems, Proceedings, APCCAS

Conference

ConferenceAPCCAS 2006 - 2006 IEEE Asia Pacific Conference on Circuits and Systems
Country/TerritorySingapore
Period4/12/066/12/06

Keywords

  • All-pass filters
  • Filter banks
  • IIR filters
  • Linear-phase filters

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