Measuring smoothness of trigonometric interpolation through incomplete sample points

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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.
Original languageEnglish
Title of host publication2020 28th European Signal Processing Conference (EUSIPCO)
Place of PublicationPiscataway, NJ
PublisherIEEE
Number of pages5
ISBN (Print)9789082797053
DOIs
Publication statusPublished - 18 Dec 2020
Event28th European Signal Processing Conference - Amsterdam, Netherlands
Duration: 18 Jan 202122 Jan 2021

Conference

Conference28th European Signal Processing Conference
Abbreviated titleEUSIPCO2020
Country/TerritoryNetherlands
CityAmsterdam
Period18/01/2122/01/21

Keywords

  • broadband array processing
  • smoothness metric
  • broadband beamforming

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