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

05/10/2019
by   Mark Magsino, et al.
0

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.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
06/11/2020

Tight frames over the quaternions and equiangular lines

We show that much of the theory of finite tight frames can be generalise...
research
07/02/2021

Moments of Subsets of General Equiangular Tight Frames

This note outlines the steps for proving that the moments of a randomly-...
research
09/07/2023

Subgraph-based Tight Frames on Graphs with Compact Supports and Vanishing Moments

In this work, we proposed a novel and general method to construct tight ...
research
02/15/2020

On the Search for Tight Frames of Low Coherence

We introduce a projective Riesz s-kernel for the unit sphere S^d-1 and i...
research
09/19/2018

Analog Coding Frame-work

Analog coding is a low-complexity method to combat erasures, based on li...
research
01/23/2023

Generic MANOVA limit theorems for products of projections

We study the convergence of the empirical spectral distribution of 𝐀𝐁𝐀 f...
research
02/05/2020

On the mode and median of the generalized hyperbolic and related distributions

Except for certain parameter values, a closed form formula for the mode ...

Please sign up or login with your details

Forgot password? Click here to reset