Measuring smoothness of trigonometric interpolation through incomplete sample points

Research output: Contribution to conferencePaper

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
Number of pages5
Publication statusAccepted/In press - 29 Apr 2020
Event28th European Signal Processing Conference - Amsterdam, Netherlands
Duration: 18 Jan 202122 Jan 2021

Conference

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

Keywords

  • broadband array processing
  • smoothness metric
  • broadband beamforming

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    Weiss, S., Selva, J., & MacLeod, M. D. (Accepted/In press). Measuring smoothness of trigonometric interpolation through incomplete sample points. Paper presented at 28th European Signal Processing Conference, Amsterdam, Netherlands.