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Proceedings Paper

Resolution enhancement and sampling with wavelets and footprints
Author(s): Pier Luigi Dragotti; Martin Vetterli
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Paper Abstract

In this paper, we consider classes of not bandlimited signals, namely, streams of Diracs and piecewise polynomial signals, and show that these signals can be sampled and perfectly reconstructed using wavelets as sampling kernel. Due to the multiresolution structure of the wavelet transform, these new sampling theorems naturally lead to the development of a new resolution enhancement algorithm based on wavelet footprints. Preliminary results show that this algorithm is also very resilient to noise.

Paper Details

Date Published: 13 November 2003
PDF: 10 pages
Proc. SPIE 5207, Wavelets: Applications in Signal and Image Processing X, (13 November 2003); doi: 10.1117/12.504724
Show Author Affiliations
Pier Luigi Dragotti, Imperial College London (United Kingdom)
Martin Vetterli, École Polytechnique Fédérale de Lausanne (Switzerland)
Univ. of California/Berkeley (United States)

Published in SPIE Proceedings Vol. 5207:
Wavelets: Applications in Signal and Image Processing X
Michael A. Unser; Akram Aldroubi; Andrew F. Laine, Editor(s)

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