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Herein, we address the expectations of frame potentials of three types ofdeterminantal point processes(DPPs) on the d-dimensional unit sphere: (i)spherical ensembles on the 2-dimensional unit sphere; (ii) harmonic ensembleson the d-dimensional unit sphere and (iii) jittered sampling point processes onthe d-dimensional unit sphere. The random point configurations generated bysuch DPPs converge more rapidly towards finite unit norm tight frames(FUNTFs)than the Poisson point processes on the unit sphere.

Finite frames, frame potentials and determinantal point processes on the sphere