Maximally smooth Dirichlet interpolation from complete and incomplete sampling on the unit circle

Stephan Weiss, Malcolm D. Macleod

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Abstract

This paper introduces a cost function for the smoothness of a continuous periodic function, of which only some samples are given. This cost function is important e.g. when associating samples in frequency bins for problems such as analytic singular or eigenvalue decompositions. We demonstrate the utility of the cost function, and study some of its complexity and conditioning issues.
Original languageEnglish
Number of pages5
Publication statusPublished - 16 May 2019
Event2019 International Conference on Acoustics, Speech, and Signal Processing - Brighton, United Kingdom
Duration: 12 May 201917 May 2019

Conference

Conference2019 International Conference on Acoustics, Speech, and Signal Processing
Abbreviated titleICASSP 2019
CountryUnited Kingdom
CityBrighton
Period12/05/1917/05/19

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Keywords

  • analytic functions
  • Dirichlet interpolation
  • approximation

Cite this

Weiss, S., & Macleod, M. D. (2019). Maximally smooth Dirichlet interpolation from complete and incomplete sampling on the unit circle. Paper presented at 2019 International Conference on Acoustics, Speech, and Signal Processing, Brighton, United Kingdom.