Publication result detail

Spectral Super-resolution and Band-limited Extrapolation Using Slepian Series

MIHÁLIK, O.; MICHALÍK, D.; JURA, P.; FIEDLER, P.

Original Title

Spectral Super-resolution and Band-limited Extrapolation Using Slepian Series

English Title

Spectral Super-resolution and Band-limited Extrapolation Using Slepian Series

Type

Paper in proceedings (conference paper)

Original Abstract

Band-limited signal extrapolation and spectral super-resolutions are closely related. They both can be achieved using Slepian series. This method is often believed to be dependent on computing definite integrals. Instead of using numerical integration, a simple and reliable method, which can be implemented in MATLAB, is presented. This way, it is much easier to investigated the extent to which a signal can be extrapolated from its samples taken in a finite interval. The proposed method is tested with data from a real microphone array.

English abstract

Band-limited signal extrapolation and spectral super-resolutions are closely related. They both can be achieved using Slepian series. This method is often believed to be dependent on computing definite integrals. Instead of using numerical integration, a simple and reliable method, which can be implemented in MATLAB, is presented. This way, it is much easier to investigated the extent to which a signal can be extrapolated from its samples taken in a finite interval. The proposed method is tested with data from a real microphone array.

Keywords

Prolate spheroidal wave functions, Slepian series, Signal extrapolation, Sampled signals, Frequency spectrum, Fourier analysis, Bandwidth

Key words in English

Prolate spheroidal wave functions, Slepian series, Signal extrapolation, Sampled signals, Frequency spectrum, Fourier analysis, Bandwidth

Authors

MIHÁLIK, O.; MICHALÍK, D.; JURA, P.; FIEDLER, P.

RIV year

2020

Released

29.10.2019

Publisher

IFAC

Book

16th IFAC Conference on Programmable Devices and Embedded Systems – PDeS 2019.

Edition

52

ISBN

2405-8963

Periodical

IFAC-PapersOnLine

Volume

52

Number

27

State

United Kingdom of Great Britain and Northern Ireland

Pages from

388

Pages to

393

Pages count

6

URL

https://www.sciencedirect.com/science/article/pii/S2405896319326400

Full text in the Digital Library

http://hdl.handle.net/11012/194804

BibTex

@inproceedings{BUT159797,
  author="Ondrej {Mihálik} and David {Michalík} and Pavel {Jura} and Petr {Fiedler}",
  title="Spectral Super-resolution and Band-limited Extrapolation Using Slepian Series",
  booktitle="16th IFAC Conference on Programmable Devices and Embedded Systems – PDeS 2019.",
  year="2019",
  series="52",
  journal="IFAC-PapersOnLine",
  volume="52",
  number="27",
  pages="388--393",
  publisher="IFAC",
  doi="10.1016/j.ifacol.2019.12.691",
  issn="2405-8971",
  url="https://www.sciencedirect.com/science/article/pii/S2405896319326400"
}

Documents

Mihalik_2019