Moments of Subsets of General Equiangular Tight Frames

Marina Haikin; Ram Zamir

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arXiv · 2107.00888

Moments of Subsets of General Equiangular Tight Frames

Marina Haikin·Ram Zamir

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Abstract

This note outlines the steps for proving that the moments of a randomly-selected subset of a general ETF (complex, with aspect ratio $0<\gamma<1$) converge to the corresponding MANOVA moments. We bring here an extension for the proof of the 'Kesten-Mckay' moments (real ETF, $\gamma=1/2$) \cite{magsino2020kesten}. In particular, we establish a recursive computation of the $r$th moment, for $r = 1,2,\ldots$, and verify, using a symbolic program, that the recursion output coincides with the MANOVA moments.

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Marina Haikin, Ram Zamir. 2021-07-02. Moments of Subsets of General Equiangular Tight Frames. https://arxiv.org/abs/2107.00888

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