Perfect reconstruction filter banks with rational sampling rates in one and two dimensions

Jelena Kovacevic, Martin Vetterli

Research output: Contribution to journalArticle


Multirate filter banks with integer sampling rate changes are used widely in subband coding and transmultiplexing. A more general scheme is obtained when one allows arbitrary rational sampling rate changes, leading to non-uniform division of the frequency spectrum. This paper shows how to obtain arbitrary non-uniform perfect reconstruction filter banks by building trees of divisions into two (possibly unequal) channels. The construction uses the commutativity of subsampling and upsampling. The commutativity result, which is well known in one dimension, is then extended to two dimensions.

Original languageEnglish (US)
Pages (from-to)1258-1268
Number of pages11
JournalProceedings of SPIE - The International Society for Optical Engineering
StatePublished - Nov 1 1989


ASJC Scopus subject areas

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

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