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Perfect Reconstruction Filter Banks with Rational Sampling Rates in One and Two Dimensions
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Perfect Reconstruction Filter Banks with Rational Sampling Rates in One and Two Dimensions
Perfect Reconstruction Filter Banks with Rational Sampling Rates in One and Two Dimensions
JK
Jelena Kovacevic
Jelena Kovacevic
Martin Vetterli
Martin Vetterli
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1 November 1989
proceedings article
Published by
SPIE-Intl Soc Optical Eng
Vol. 1199
,
1258-1268
https://doi.org/10.1117/12.970135
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.© (1989) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.
Keywords
TWO DIMENSIONS
FILTER BANK
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Cited by 2 articles