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arXiv · 1607.04424

Investigations of the effects of random sampling patterns on the stability of generalized sampling

Robert Dahl Jacobsen·Jesper Møller·Morten Nielsen·Morten Grud Rasmussen
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Abstract

We investigate how the choice of spatial point process for generating random sampling patterns affects the numerical stability of non-uniform generalized sampling between Fourier bases and Daubechies scaling functions. Specifically, we consider binomial, Poisson and determinantal point processes and demonstrate that the more regular point patterns from the determinantal point process are superior.

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Robert Dahl Jacobsen, Jesper Møller, Morten Nielsen, Morten Grud Rasmussen. 2016-07-15. Investigations of the effects of random sampling patterns on the stability of generalized sampling. https://arxiv.org/abs/1607.04424

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