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

Jelena Kovacevic, Martin Vetterli

Research output: Contribution to journalArticle

Abstract

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
Volume1199
DOIs
StatePublished - Nov 1 1989

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Filter Banks
Filter banks
Commutativity
One Dimension
division
Division
Two Dimensions
sampling
Sampling
filters
Subsampling
Frequency Spectrum
Arbitrary
Unequal
integers
coding
Coding
Integer

ASJC Scopus subject areas

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

Cite this

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