Equiangular Tight Frames from Paley Tournaments
泛函分析
2012-03-28 v2
摘要
We prove the existence of equiangular tight frames having n=2d-1 elements drawn from either C^d or C^(d-1) whenever n is either 2^k-1 for k in N, or a power of a prime such that n=3 mod 4. We also find a simple explicit expression for the prime power case by establishing a connection to a 2d-element equiangular tight frame based on quadratic residues.
引用
@article{arxiv.math/0408287,
title = {Equiangular Tight Frames from Paley Tournaments},
author = {Joseph M. Renes},
journal= {arXiv preprint arXiv:math/0408287},
year = {2012}
}
备注
6 pages, requires elsart.cls. Fixed typos and simplified proof of theorem 1