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Proceedings Paper

Oblique projections in discrete signal subspaces of l2 and the wavelet transform
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Paper Abstract

We study the general problem of oblique projections in discrete shift-invariant spaces of l2 and we give error bounds on the approximation. We define the concept of discrete multiresolutions and wavelet spaces and show that the oblique projections on certain subclasses of discrete multiresolutions and their associated wavelet spaces can be obtained using perfect reconstruction filter banks. Therefore we obtain a discrete analog of the Cohen-Daubechies- Feauveau results on biorthogonal wavelets.

Paper Details

Date Published: 11 October 1994
PDF: 11 pages
Proc. SPIE 2303, Wavelet Applications in Signal and Image Processing II, (11 October 1994); doi: 10.1117/12.188795
Show Author Affiliations
Akram Aldroubi, National Institutes of Health (United States)
Michael A. Unser, National Institutes of Health (United States)


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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