| Paper: | SPTM-P10.8 | ||
| Session: | Multirate Systems and Denoising | ||
| Time: | Thursday, May 20, 15:30 - 17:30 | ||
| Presentation: | Poster | ||
| Topic: | Signal Processing Theory and Methods: Multi-rate Signal Processing & Wavelets | ||
| Title: | WAVELET AND FOOTPRINT SAMPLING OF SIGNALS WITH A FINITE RATE OF INNOVATION | ||
| Authors: | Pier Luigi Dragotti; Imperial College, London | ||
| Martin Vetterli; Swiss Federal Institute of Technology (EPFL) | |||
| 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 the potentiality of this algorithm. | ||
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