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

Stephan Weiss; Malcolm D. Macleod

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

Stephan Weiss, Malcolm D. Macleod

Electronic And Electrical Engineering

Research output: Contribution to conference › Paper › peer-review

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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 language	English
Number of pages	5
Publication status	Published - 16 May 2019
Event	2019 International Conference on Acoustics, Speech, and Signal Processing - Brighton, United Kingdom Duration: 12 May 2019 → 17 May 2019

Conference

Conference	2019 International Conference on Acoustics, Speech, and Signal Processing
Abbreviated title	ICASSP 2019
Country/Territory	United Kingdom
City	Brighton
Period	12/05/19 → 17/05/19

Keywords

analytic functions
Dirichlet interpolation
approximation

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Weiss-Macleod-ICASSP-2019-Maximally-smooth-Dirichlet-interpolationAccepted author manuscript, 363 KB

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AU - Macleod, Malcolm D.

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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.

KW - analytic functions

KW - Dirichlet interpolation

KW - approximation

UR - https://2019.ieeeicassp.org/

M3 - Paper

T2 - 2019 International Conference on Acoustics, Speech, and Signal Processing

Y2 - 12 May 2019 through 17 May 2019

ER -

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

Abstract

Conference

Keywords

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