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Proceedings Paper

Some limits of lattice and lifting structures
Author(s): Andreas Klappenecker
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Paper Abstract

We discuss the relation between lattice and ladder structures for two-channel filter banks. It is well-known that both lattice and ladder steps are powerful enough to generate all perfect reconstructing filter banks provided that the filter coefficients may take arbitrary values in a field. However, we will show that the two concepts differ in general. We relate the two concepts by looking at three properties of the coefficient ring. We discuss a number of incompleteness results of these parametrizations and point out some connections to open problems in group theory.

Paper Details

Date Published: 26 October 1999
PDF: 8 pages
Proc. SPIE 3813, Wavelet Applications in Signal and Image Processing VII, (26 October 1999); doi: 10.1117/12.366823
Show Author Affiliations
Andreas Klappenecker, Texas A&M Univ. (United States)

Published in SPIE Proceedings Vol. 3813:
Wavelet Applications in Signal and Image Processing VII
Michael A. Unser; Akram Aldroubi; Andrew F. Laine, Editor(s)

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