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.
ORCID iDs
Weiss, Stephan
ORCID: https://orcid.org/0000-0002-3486-7206, Selva, Jesus and MacLeod, Malcolm D.;
Item type: Conference or Workshop Item(Paper) ID code: 72583 Dates: DateEvent29 April 2020Published29 April 2020AcceptedKeywords: 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: 11 Mar 2021 01:55 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/72583
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