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Proceedings Paper

Lattice structure for multifilters derived from complex-valued scalar filter banks
Author(s): Kurt A. Johnson; Truong Q. Nguyen
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Paper Abstract

Multiwavelet-based filter banks, unlike filter banks based on scalar wavelets, are able to provide simultaneously orthogonality, linear phase, and short support. However, a general lattice structure for multifilters, analogous to that available for scalar filter banks has yet to be determined.. Such lattice structures have considerable advantages for both theory and design. This paper derives a complete and minimal lattice structure for a class of 2- wavelet multifilters which are based on complex-valued orthogonal scalar filter banks. An example derived from the Daubechies D6 wavelet is presented, along with considerations of how requiring symmetry and higher approximation order restricts the lattice coefficients.

Paper Details

Date Published: 23 October 1996
PDF: 12 pages
Proc. SPIE 2825, Wavelet Applications in Signal and Image Processing IV, (23 October 1996); doi: 10.1117/12.255261
Show Author Affiliations
Kurt A. Johnson, Univ. of Wisconsin/Madison (United States)
Truong Q. Nguyen, Univ. of Wisconsin/Madison (United States)

Published in SPIE Proceedings Vol. 2825:
Wavelet Applications in Signal and Image Processing IV
Michael A. Unser; Akram Aldroubi; Andrew F. Laine, Editor(s)

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