Measuring Smoothness of Trigonometric Interpolation Through Incomplete Sample Points

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Title: Measuring Smoothness of Trigonometric Interpolation Through Incomplete Sample Points
Authors: Weiss, Stephan | Selva, Jesus | Macleod, Malcolm D.
Research Group/s: Señales, Sistemas y Telecomunicación
Center, Department or Service: Universidad de Alicante. Departamento de Física, Ingeniería de Sistemas y Teoría de la Señal
Keywords: Smoothness | Trigonometric interpolation | Incomplete sample points
Knowledge Area: Teoría de la Señal y Comunicaciones
Issue Date: 18-Dec-2020
Publisher: IEEE
Citation: 28th European Signal Processing Conference (EUSIPCO), 2020, Amsterdam, Netherlands: 2319-2323.
Abstract: In this paper we present a metric to assess the smoothness of a trigonometric interpolation through an in-complete 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.
Sponsor: This work was in parts supported by the Engineering and Physical Sciences Research Council (EPSRC) Grant number EP/S000631/1 and the MOD University Defence Research Collaboration in Signal Processing.
ISBN: 978-9-0827-9705-3 | 978-9-08279-704-6 | 978-1-7281-5001-7
ISSN: 2076-1465
DOI: 10.23919/Eusipco47968.2020.9287694
Language: eng
Type: info:eu-repo/semantics/conferenceObject
Rights: © 2020 by European Association for Signal Processing (EURASIP)
Peer Review: si
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