11 October 1994 Discrete biorthogonal wavelets and PR finite impulse response (FIR) filter banks via block circulant matrices
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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.
© (1994) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Jaroslav Kautsky, Radka Turcajova, "Discrete biorthogonal wavelets and PR finite impulse response (FIR) filter banks via block circulant matrices", Proc. SPIE 2303, Wavelet Applications in Signal and Image Processing II, (11 October 1994); doi: 10.1117/12.188811; https://doi.org/10.1117/12.188811
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KEYWORDS
Chemical species

Matrices

Wavelets

Projection systems

Finite impulse response filters

Optical filters

Electronic filtering

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