Correlation Minimizing Frames in Small Dimensions
Functional Analysis
2015-03-31 v1
Abstract
A uniform tight frame of N vectors for a d dimensional space is correlation minimizing if among all such frames it is as "nearly" orthogonal as possible, i.e., it minimizes the maximal inner product of unequal vectors. In this paper we begin to catalog these frames for small dimensions, in particular, d=3.
Keywords
Cite
@article{arxiv.1503.08690,
title = {Correlation Minimizing Frames in Small Dimensions},
author = {Grant Getzelman and Nicole L. Leonhard and Vern I. Paulsen},
journal= {arXiv preprint arXiv:1503.08690},
year = {2015}
}