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
Volume1
ISBN (Print)0780312813
StatePublished - Jan 1 1993
Event1993 IEEE International Symposium on Circuits and Systems - Chicago, IL, USA
Duration: May 3 1993May 6 1993

Other

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

Fingerprint

Filter banks
Demonstrations
Sampling

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Kovacevic, J., & Vetterli, M. (1993). New results on multidimensional filter banks and wavelets. In Proceedings - IEEE International Symposium on Circuits and Systems (Vol. 1, pp. 108-111). Publ by IEEE.

New results on multidimensional filter banks and wavelets. / Kovacevic, Jelena; Vetterli, Martin.

Proceedings - IEEE International Symposium on Circuits and Systems. Vol. 1 Publ by IEEE, 1993. p. 108-111.

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

Kovacevic, J & Vetterli, M 1993, New results on multidimensional filter banks and wavelets. in Proceedings - IEEE International Symposium on Circuits and Systems. vol. 1, Publ by IEEE, pp. 108-111, 1993 IEEE International Symposium on Circuits and Systems, Chicago, IL, USA, 5/3/93.
Kovacevic J, Vetterli M. New results on multidimensional filter banks and wavelets. In Proceedings - IEEE International Symposium on Circuits and Systems. Vol. 1. Publ by IEEE. 1993. p. 108-111
Kovacevic, Jelena ; Vetterli, Martin. / New results on multidimensional filter banks and wavelets. Proceedings - IEEE International Symposium on Circuits and Systems. Vol. 1 Publ by IEEE, 1993. pp. 108-111
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