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 (https://doi.org/10.23919/Eusipco47968.2020.9287694)

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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:29 Mar 2023 02:05
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/72583
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