On the Search for Tight Frames of Low Coherence

02/15/2020

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by   Xuemei Chen, et al.

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We introduce a projective Riesz s-kernel for the unit sphere 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.