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Proceedings Paper

Necessary and sufficient condition for perfect reconstruction matrix filter banks
Author(s): Jianzhong Wang
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Paper Abstract

A matrix filter is a linear and time-invariant operator on the space of vector-valued signals. Matrix filter bank is the generalization of filter bank. A perfect reconstruction matrix filter bank consists of an analysis matrix filter bank and a synthesis matrix filter bank. In the theory of filter design, generating a perfect reconstruction matrix filter bank from a given lowpass matrix filter is considered. Such a lowpass matrix filter is called a primary matrix filter. In this paper, we give a necessary and sufficient condition for a lowpass matrix filter being primary and discuss the relation between perfect reconstruction matrix filter bank and biorthogonal multiwavelet.

Paper Details

Date Published: 26 October 1999
PDF: 9 pages
Proc. SPIE 3813, Wavelet Applications in Signal and Image Processing VII, (26 October 1999); doi: 10.1117/12.366824
Show Author Affiliations
Jianzhong Wang, Sam Houston State 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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