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Oblique Projections in Discrete Signal Subspaces of l2 and the Wavelet Transform

A. Aldroubi, M. Unser

Proceedings of the SPIE Conference on Mathematical Imaging: Wavelet Applications in Signal and Image Processing II, San Diego CA, USA, July 24-29, 1994, vol. 2303, pp. 36-46.

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.

AUTHOR="Aldroubi, A. and Unser, M.",
TITLE="Oblique Projections in Discrete Signal Subspaces of {$l_{2}$}
        and the Wavelet Transform",
BOOKTITLE="Proceedings of the {SPIE} Conference on Mathematical
        Imaging: {W}avelet Applications in Signal and Image Processing
address="San Diego CA, USA",
month="July 24-29,",

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