Moments of Subsets of General Equiangular Tight Frames
Information Theory
2021-07-05 v1 Combinatorics
math.IT
Probability
Abstract
This note outlines the steps for proving that the moments of a randomly-selected subset of a general ETF (complex, with aspect ratio ) converge to the corresponding MANOVA moments. We bring here an extension for the proof of the 'Kesten-Mckay' moments (real ETF, ) \cite{magsino2020kesten}. In particular, we establish a recursive computation of the th moment, for , and verify, using a symbolic program, that the recursion output coincides with the MANOVA moments.
Keywords
Cite
@article{arxiv.2107.00888,
title = {Moments of Subsets of General Equiangular Tight Frames},
author = {Marina Haikin and Ram Zamir},
journal= {arXiv preprint arXiv:2107.00888},
year = {2021}
}