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Proceedings Paper

Discrete biorthogonal wavelets and PR finite impulse response (FIR) filter banks via block circulant matrices
Author(s): Jaroslav Kautsky; Radka Turcajova
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Paper Abstract

Factorization of orthogonal block circulant matrices can not be generalized in a straightforward way for block circulant matrices which are merely invertible. However, they can be decomposed into an orthogonal matrix and an atom that represents the `nonorthogonal' part of the matrix. Atoms can be characterized by nilpotent block-companion matrices. This characterization permits, for example, to derive bounds for the width of the band of the inverse of a banded block circulant matrix.

Paper Details

Date Published: 11 October 1994
PDF: 8 pages
Proc. SPIE 2303, Wavelet Applications in Signal and Image Processing II, (11 October 1994); doi: 10.1117/12.188811
Show Author Affiliations
Jaroslav Kautsky, Flinders Univ. (Australia)
Radka Turcajova, Flinders Univ. (Australia)


Published in SPIE Proceedings Vol. 2303:
Wavelet Applications in Signal and Image Processing II
Andrew F. Laine; Michael A. Unser, Editor(s)

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