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: 28th European Signal Processing Conference, 2021-01-18 - 2021-01-22. (In Press)

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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.

    Creators(s): Weiss, Stephan ORCID logoORCID: https://orcid.org/0000-0002-3486-7206, Selva, Jesus and MacLeod, Malcolm D.;
    Item type:Conference or Workshop Item(Paper)
    ID code:72583
    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:09 Sep 2020 07:21
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/72583
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