Publication 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

conference paper

Language

en

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

Released

29.10.2019

Publisher

IFAC

Pages from

388

Pages to

393

Pages count

6

URL

Full text in the Digital Library

Documents

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",
  annote="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.",
  address="IFAC",
  booktitle="16th IFAC Conference on Programmable Devices and Embedded Systems – PDeS 2019.",
  chapter="159797",
  doi="10.1016/j.ifacol.2019.12.691",
  edition="52",
  howpublished="online",
  institution="IFAC",
  number="27",
  year="2019",
  month="october",
  pages="388--393",
  publisher="IFAC",
  type="conference paper"
}