Design of multidimensional filter banks for non-separable sampling

Jelena Kovacevic, Martin Vetterli, Gunnar Karlsson

Research output: Contribution to journalConference article

Abstract

Results from the design of multidimensional filter banks with arbitrary sampling patterns are presented, with emphasis on the particular cases of quincunx and hexagonal sampling. Conditions for what is and what is not achievable given specific design constraints (such as perfectly diamond-shaped filters, linear phase, and paraunitariness) are stated. Useful cascade structures are given, and the issue of completeness is addressed. The hexagonal case is analyzed, and a structure allowing perfect reconstruction while yielding linear phase and paraunitary filters is proposed. Two applications are considered: obtaining directional subband decomposition with hexagonal filters, and decomposition of interlaced and progressively scanned television with quincunx ones.

Original languageEnglish (US)
Pages (from-to)2004-2008
Number of pages5
JournalProceedings - IEEE International Symposium on Circuits and Systems
Volume3
StatePublished - Dec 1 1990
Event1990 IEEE International Symposium on Circuits and Systems Part 3 (of 4) - New Orleans, LA, USA
Duration: May 1 1990May 3 1990

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Filter banks
Sampling
Decomposition
Diamond
Television
Diamonds

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Electronic, Optical and Magnetic Materials

Cite this

Design of multidimensional filter banks for non-separable sampling. / Kovacevic, Jelena; Vetterli, Martin; Karlsson, Gunnar.

In: Proceedings - IEEE International Symposium on Circuits and Systems, Vol. 3, 01.12.1990, p. 2004-2008.

Research output: Contribution to journalConference article

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