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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.
|Number of pages||5|
|Publication status||Accepted/In press - 29 Apr 2020|
|Event||28th European Signal Processing Conference - Amsterdam, Netherlands|
Duration: 18 Jan 2021 → 22 Jan 2021
|Conference||28th European Signal Processing Conference|
|Period||18/01/21 → 22/01/21|
- broadband array processing
- smoothness metric
- broadband beamforming
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.