Publication detail

Demystifying Band-Limited Extrapolation

MIHÁLIK, O.

Original Title

Demystifying Band-Limited Extrapolation

Type

article in a collection out of WoS and Scopus

Language

English

Original Abstract

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.

Keywords

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

Authors

MIHÁLIK, O.

Released

26. 6. 2021

Publisher

Brno University of Technology, Faculty of Electrical Engineering and Communication

Location

Brno

ISBN

978-80-214-5942-7

Book

Proceedings II of the 27th Conference STUDENT EEICT 2021

Pages from

576

Pages to

580

Pages count

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"
}