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arXiv · 2002.06452

On the Search for Tight Frames of Low Coherence

Xuemei Chen·Douglas P. Hardin·Edward B. Saff
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Abstract

We introduce a projective Riesz $s$-kernel for the unit sphere $\mathbb{S}^{d-1}$ and investigate properties of $N$-point energy minimizing configurations for such a kernel. We show that these configurations, for $s$ and $N$ sufficiently large, form frames that are well-separated (have low coherence) and are nearly tight. Our results suggest an algorithm for computing well-separated tight frames which is illustrated with numerical examples.

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Xuemei Chen, Douglas P. Hardin, Edward B. Saff. 2020-02-15. On the Search for Tight Frames of Low Coherence. https://arxiv.org/abs/2002.06452

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