Kesten-McKay law for random subensembles of Paley equiangular tight frames

Kesten-McKay law for random subensembles of Paley equiangular tight frames

We apply the method of moments to prove a recent conjecture of Haikin, Zamir and Gavish (2017) concerning the distribution of the singular values of random subensembles of Paley equiangular tight frames. Our analysis applies more generally to real equiangular tight frames of redundancy 2, and we sus...

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Veröffentlicht in:arXiv.org 2019-05
Hauptverfasser: Magsino, Mark, Mixon, Dustin G, Parshall, Hans
Format: Artikel
Sprache:eng
Schlagworte:
Frames
Method of moments
Redundancy
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Zusammenfassung:We apply the method of moments to prove a recent conjecture of Haikin, Zamir and Gavish (2017) concerning the distribution of the singular values of random subensembles of Paley equiangular tight frames. Our analysis applies more generally to real equiangular tight frames of redundancy 2, and we suspect similar ideas will eventually produce more general results for arbitrary choices of redundancy.
ISSN:2331-8422