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

Stephan Weiss, Malcolm D. Macleod

Research output: Contribution to conferencePaper

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.

Conference

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

Fingerprint

Cost functions
Interpolation
Sampling
Bins
Decomposition

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.
Weiss, Stephan ; Macleod, Malcolm D. / 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.5 p.
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Weiss, S & Macleod, MD 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, 12/05/19 - 17/05/19, .

Maximally smooth Dirichlet interpolation from complete and incomplete sampling on the unit circle. / Weiss, Stephan; Macleod, Malcolm D.

2019. Paper presented at 2019 International Conference on Acoustics, Speech, and Signal Processing, Brighton, United Kingdom.

Research output: Contribution to conferencePaper

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AU - Macleod, Malcolm D.

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Y1 - 2019/5/16

N2 - 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.

AB - 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.

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KW - approximation

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