A fast algorithm for selective signal extrapolation with arbitrary basis functions

Seiler J, Kaup A (2011)


Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2011

Journal

Publisher: Hindawi Publishing Corporation / Springer Verlag (Germany) / SpringerOpen

Book Volume: 2011

Article Number: 495394

URI: https://arxiv.org/abs/2204.14194

DOI: 10.1155/2011/495394

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 algorithm to 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. © 2011 Jrgen Seiler and Andr Kaup.

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How to cite

APA:

Seiler, J., & Kaup, A. (2011). A fast algorithm for selective signal extrapolation with arbitrary basis functions. EURASIP Journal on Advances in Signal Processing, 2011. https://doi.org/10.1155/2011/495394

MLA:

Seiler, Jürgen, and André Kaup. "A fast algorithm for selective signal extrapolation with arbitrary basis functions." EURASIP Journal on Advances in Signal Processing 2011 (2011).

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