Detail publikace

Band-Limited Signal Extrapolation Using Least Squares Approximation by Prolate Spheroidal Wave Functions

MIHÁLIK, O.

Originální název

Band-Limited Signal Extrapolation Using Least Squares Approximation by Prolate Spheroidal Wave Functions

Anglický název

Band-Limited Signal Extrapolation Using Least Squares Approximation by Prolate Spheroidal Wave Functions

Typ

článek ve sborníku mimo WoS a Scopus

Jazyk

slovenština

Originální abstrakt

This paper is concerned with the band-limited signal extrapolation using a truncated series of Prolate spheroidal wave functions. Our aim is to investigate the extent to which it is possible to extrapolate signal from its samples taken in a finite interval. It is often believed that this extrapolation method depends on computing definite integrals. We show an alternative approach by using the least squares method. We briefly discuss performanceof these two methods in thepresence of noise and the possibility of using this algorithm for real-time data processing. Finally the extrapolation algorithm is tested with real data from a microphone array.

Anglický abstrakt

This paper is concerned with the band-limited signal extrapolation using a truncated series of Prolate spheroidal wave functions. Our aim is to investigate the extent to which it is possible to extrapolate signal from its samples taken in a finite interval. It is often believed that this extrapolation method depends on computing definite integrals. We show an alternative approach by using the least squares method. We briefly discuss performanceof these two methods in thepresence of noise and the possibility of using this algorithm for real-time data processing. Finally the extrapolation algorithm is tested with real data from a microphone array.

Klíčová slova

Prolate spheroidal wave functions, extrapolation, Fourier transform, band-limited signals, spectrum, orthogonality, least squares

Klíčová slova v angličtině

Prolate spheroidal wave functions, extrapolation, Fourier transform, band-limited signals, spectrum, orthogonality, least squares

Autoři

MIHÁLIK, O.

Vydáno

25. 4. 2019

Nakladatel

Vysoké učení technické v Brně, Fakulta elektrotechniky a komunikačních technologií

Místo

Brno

ISBN

978-80-214-5735-5

Kniha

Proceedings of the 25 th Conference STUDENT EEICT 2019

Číslo edice

1

Strany od

405

Strany do

408

Strany počet

4

URL

http://www.feec.vutbr.cz/conf/EEICT/archiv/sborniky/EEICT_2019_sbornik.pdf

BibTex

@inproceedings{BUT158414,
  author="Ondrej {Mihálik}",
  title="Band-Limited Signal Extrapolation Using Least Squares Approximation by Prolate Spheroidal Wave Functions",
  booktitle="Proceedings of the 25 th Conference STUDENT EEICT 2019",
  year="2019",
  number="1",
  pages="405--408",
  publisher="Vysoké učení technické v Brně, Fakulta elektrotechniky a komunikačních technologií",
  address="Brno",
  isbn="978-80-214-5735-5",
  url="http://www.feec.vutbr.cz/conf/EEICT/archiv/sborniky/EEICT_2019_sbornik.pdf"
}