Perfect reconstruction binomial QMF-wavelet transform

Ali N. Akansu, Richard A. Haddad, Hakan Caglar

Research output: Chapter in Book/Report/Conference proceedingConference contribution

17 Scopus citations


This paper describes a class of orthogonal binomial filters which provide a set of basis functions for a bank of perfect reconstruction Finite Impulse Response Quadrature Mirror Filters (FIR-QMF). These Binomial QMFs are shown to be the same filters as those derived from a discrete orthonormal wavelet approach by Daubechies [13]. The proposed filters can be implemented very efficiently with output scaling, but otherwise no multiply operations. The compaction performance of the proposed signal decomposition technique is computed and shown to be better than that of the DCT for the AR(1) signal models, and also for standard test images.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
EditorsMurat Kunt
PublisherPubl by Int Soc for Optical Engineering
Number of pages10
ISBN (Print)0819404217
StatePublished - 1990
Externally publishedYes
EventVisual Communications and Image Processing '90 - Lausanne, Switz
Duration: Oct 1 1990Oct 4 1990

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume1360 pt 1
ISSN (Print)0277-786X


OtherVisual Communications and Image Processing '90
CityLausanne, Switz

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering


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