Detail publikačního výsledku

Demystifying Band-Limited Extrapolation

MIHÁLIK, O.

Originální název

Demystifying Band-Limited Extrapolation

Anglický název

Demystifying Band-Limited Extrapolation

Druh

Stať ve sborníku mimo WoS a Scopus

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.

Anglický 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.

Klíčová slova v angličtině

Slepian sequences, extrapolation, band-limited signal, reconstruction, regularisation.

Autoři

MIHÁLIK, O.

Rok RIV

2022

Vydáno

26.06.2021

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"
}