Publication detail

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

MIHÁLIK, O.

Original Title

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

English Title

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

Type

article in a collection out of WoS and Scopus

Language

Slovak

Original Abstract

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.

English abstract

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.

Keywords

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

Key words in English

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

Authors

MIHÁLIK, O.

Released

25. 4. 2019

Publisher

Vysoké učení technické v Brně, Fakulta elektrotechniky a komunikačních technologií

Location

Brno

ISBN

978-80-214-5735-5

Book

Proceedings of the 25 th Conference STUDENT EEICT 2019

Edition number

1

Pages from

405

Pages to

408

Pages count

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"
}