Measuring smoothness of trigonometric interpolation through incomplete sample points

Weiss, Stephan and Selva, Jesus and Macleod, Malcolm D.; (2020) Measuring smoothness of trigonometric interpolation through incomplete sample points. In: 2020 28th European Signal Processing Conference (EUSIPCO). IEEE, NLD. ISBN 9789082797053

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    Abstract

    In this paper we present a metric to assess the smoothness of a trigonometric interpolation through an incomplete set of sample points. We measure smoothness as the power of a particular derivative of a 2π-periodic Dirichlet interpolant through some sample points. We show that we do not need to explicitly complete the sample set or perform the interpolation, but can simply work with the available sample points, under the assumption that any missing points are chosen to minimise the metric, and present a simple and robust approach to the computation of this metric. We assess the accuracy and computational complexity of this approach, and compare it to benchmarks.

    ORCID iDs

    Weiss, Stephan ORCID logoORCID: https://orcid.org/0000-0002-3486-7206, Selva, Jesus and Macleod, Malcolm D.;
    • Item type:Book Section
      ID code:72583
      Dates:
      Date
      Event
      18 December 2020
      Published
      29 April 2020
      Accepted
      Notes:© 2020 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
      Keywords:broadband array processing, smoothness metric, broadband beamforming, Electrical engineering. Electronics Nuclear engineering, Electrical and Electronic Engineering
      Subjects:Technology > Electrical engineering. Electronics Nuclear engineering
      Department:Faculty of Engineering > Electronic and Electrical Engineering
      Depositing user: Pure Administrator
      Date deposited:04 Jun 2020 14:35
      Last modified:04 Jun 2021 03:22
      Related URLs:
      URI:https://strathprints.strath.ac.uk/id/eprint/72583
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