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11 October 1994 Oblique projections in discrete signal subspaces of l2 and the wavelet transform
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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.
© (1994) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Akram Aldroubi and Michael A. Unser "Oblique projections in discrete signal subspaces of l2 and the wavelet transform", Proc. SPIE 2303, Wavelet Applications in Signal and Image Processing II, (11 October 1994); doi: 10.1117/12.188795; https://doi.org/10.1117/12.188795
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