New results on multidimensional filter banks and wavelets

Jelena Kovacevic, Martin Vetterli

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

Abstract

New results on multidimensional filter banks and wavelets are presented. We concentrate on the two-dimensional case with sampling by 2 in each dimension and show how, by using an appropriate cascade structure, nonseparable filters being both orthogonal and linear phase can be obtained, a construction not possible when one-dimensional systems are used separately. Condition for having at least one zero of the lowpass filter at all aliasing frequencies (necessary for convergence) is given. Finally, a first design example of two-dimensional orthonormal wavelets with symmetries is presented, together with the demonstration of continuity.

Original languageEnglish (US)
Title of host publicationProceedings - IEEE International Symposium on Circuits and Systems
PublisherPubl by IEEE
Pages108-111
Number of pages4
ISBN (Print)0780312813
StatePublished - 1993
Event1993 IEEE International Symposium on Circuits and Systems - Chicago, IL, USA
Duration: May 3 1993May 6 1993

Publication series

NameProceedings - IEEE International Symposium on Circuits and Systems
Volume1
ISSN (Print)0271-4310

Other

Other1993 IEEE International Symposium on Circuits and Systems
CityChicago, IL, USA
Period5/3/935/6/93

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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