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Proceedings Paper

Unified view on filter banks
Author(s): Andreas Klappenecker; Matthias Holschneider
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Paper Abstract

An impressive variety of multirate filter banks evolved during the past twenty years. We presents an algebraic approach that subsumes many concepts developed so far (e.g. multifilters, nonseparable multidimensional filter banks, cyclic filter banks, filter banks with values in finite fields, etc.). In our approach the signals and filters are viewed as elements of a group ring. We give necessary and sufficient conditions for perfect reconstruction and derive complete parameterization in terms of ladder (or lifting) structures.

Paper Details

Date Published: 19 October 1998
PDF: 12 pages
Proc. SPIE 3458, Wavelet Applications in Signal and Imaging Processing VI, (19 October 1998); doi: 10.1117/12.328135
Show Author Affiliations
Andreas Klappenecker, Univ. of Karlsruhe (United States)
Matthias Holschneider, Ctr. de Physique Theorique de Marseille (France)

Published in SPIE Proceedings Vol. 3458:
Wavelet Applications in Signal and Imaging Processing VI
Andrew F. Laine; Michael A. Unser; Akram Aldroubi, Editor(s)

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