1 November 1989 Perfect Reconstruction Filter Banks with Rational Sampling Rates in One and Two Dimensions
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Proceedings Volume 1199, Visual Communications and Image Processing IV; (1989) https://doi.org/10.1117/12.970135
Event: 1989 Symposium on Visual Communications, Image Processing, and Intelligent Robotics Systems, 1989, Philadelphia, PA, United States
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 Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Jelena Kovacevic, Martin Vetterli, "Perfect Reconstruction Filter Banks with Rational Sampling Rates in One and Two Dimensions", Proc. SPIE 1199, Visual Communications and Image Processing IV, (1 November 1989); doi: 10.1117/12.970135; https://doi.org/10.1117/12.970135
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