Moments of Subsets of General Equiangular Tight Frames

07/02/2021

∙

by   Marina Haikin, et al.

∙

0

∙

share

This note outlines the steps for proving that the moments of a randomly-selected subset of a general ETF (complex, with aspect ratio 0<γ<1) converge to the corresponding MANOVA moments. We bring here an extension for the proof of the 'Kesten-Mckay' moments (real ETF, γ=1/2) <cit.>. In particular, we establish a recursive computation of the rth moment, for r = 1,2,…, and verify, using a symbolic program, that the recursion output coincides with the MANOVA moments.