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MIHÁLIK, O.
Originální název
Demystifying Band-Limited Extrapolation
Typ
článek ve sborníku mimo WoS a Scopus
Jazyk
angličtina
Originální abstrakt
Extrapolation of band-limited signals gained scientific attention over the last 60 years. The famous methods: Gerchberg-Papoulis algorithm, Prolate spheroidal wave functions (PSWFs), and sinc interpolation—they all promise excellent results. But when it comes to their practical implementation, users may find themselves struggling with many unanswered questions. Especially PSWFs became viewed as mysterious. They are hard to compute and even harder to apply. In theory they promise excellent extrapolation capabilities—something which is contrary to our intuition. This paradox is resolved if we admit that the real-world data contain noise. In this paper we review the above-mentioned methods and try to provide a brief assessment of their capabilities by considering the effects of noise and the length of signal observation.
Klíčová slova
Slepian sequences, extrapolation, band-limited signal, reconstruction, regularisation.
Autoři
Vydáno
26. 6. 2021
Nakladatel
Brno University of Technology, Faculty of Electrical Engineering and Communication
Místo
Brno
ISBN
978-80-214-5942-7
Kniha
Proceedings II of the 27th Conference STUDENT EEICT 2021
Strany od
576
Strany do
580
Strany počet
5
URL
https://www.fekt.vut.cz/conf/EEICT/archiv/sborniky/EEICT_2021_sbornik_1.pdf
BibTex
@inproceedings{BUT171379, author="Ondrej {Mihálik}", title="Demystifying Band-Limited Extrapolation", booktitle="Proceedings II of the 27th Conference STUDENT EEICT 2021", year="2021", pages="576--580", publisher="Brno University of Technology, Faculty of Electrical Engineering and Communication", address="Brno", isbn="978-80-214-5942-7", url="https://www.fekt.vut.cz/conf/EEICT/archiv/sborniky/EEICT_2021_sbornik_1.pdf" }