A fast algorithm for selective signal extrapolation with arbitrary basis functions

Language
en
Document Type
Article
Issue Date
2012-03-22
Issue Year
2011
Authors
Seiler, Jürgen
Kaup, Andre
Editor
Abstract

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

Journal Title
EURASIP Journal on Advances in Signal Processing
Citation
EURASIP Journal on Advances in Signal Processing 2011.Jan (2011): 22.03.2012 <http://asp.eurasipjournals.com/content/2011/1/495394>
Document's Licence
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