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

Akram Aldroubi; Michael A. Unser

doi:10.1117/12.188795

11 October 1994 Oblique projections in discrete signal subspaces of l₂ and the wavelet transform

Akram Aldroubi, Michael A. Unser

Proceedings Volume 2303, Wavelet Applications in Signal and Image Processing II; (1994) https://doi.org/10.1117/12.188795
Event: SPIE's 1994 International Symposium on Optics, Imaging, and Instrumentation, 1994, San Diego, CA, United States

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.

Citation Download Citation

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); https://doi.org/10.1117/12.188795

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