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

Weiss, Stephan and Macleod, Malcolm D. (2019) Maximally smooth Dirichlet interpolation from complete and incomplete sampling on the unit circle. In: 2019 International Conference on Acoustics, Speech, and Signal Processing, 2019-05-12 - 2019-05-17.

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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.