Hinweis zum Urheberrecht
Aufsatz zugänglich unter
URN: urn:nbn:de:bvb:29-opus-31258
URL: http://www.opus.ub.uni-erlangen.de/opus/volltexte/2012/3125/
A fast algorithm for selective signal extrapolation with arbitrary basis functions
Seiler, Jürgen ;
Kaup, AndreLehrstuhl für Multimediakommunikation und Signalverarbeitung
| Originalveröffentlichung: |
| (2011) EURASIP Journal on Advances in Signal Processing 2011.Jan (2011): 22.03.2012 <http://asp.eurasipjournals.com/content/2011/1/495394> |
| pdf-Format:
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| SWD-Schlagwörter: |
| - |
| Collection: |
| Universität Erlangen-Nürnberg / Von der FAU geförderte Open Access Artikel / 2011 |
| Fakultät: |
| Technische Fakultät |
| DDC-Sachgruppe: |
| Informatik |
| Dokumentart: |
| Aufsatz |
| Sprache: |
| Englisch |
| Erstellungsjahr: |
| 2011 |
| Publikationsdatum: |
| 22.03.2012 |
| Kurzfassung in Englisch: |
| Signal extrapolation is an important task in digital signal processing for extending known signals into unknown areas. The Selective
Extrapolation is a very effective algorithmto achieve this. Thereby, the extrapolation is obtained by generating a model of the signal
to be extrapolated as weighted superposition of basis functions. Unfortunately, this algorithm is computationally very expensive
and, up to now, efficient implementations exist only for basis function sets that emanate from discrete transforms.Within the scope
of this contribution, a novel efficient solution for Selective Extrapolation is presented for utilization with arbitrary basis functions.
The proposed algorithm mathematically behaves identically to the original Selective Extrapolation but is several decades faster.
Furthermore, it is able to outperform existent fast transform domain algorithms which are limited to basis function sets that
belong to the corresponding transform.With that, the novel algorithm allows for an efficient use of arbitrary basis functions, even
if they are only numerically defined |
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