Statistical characterization of the chordal product determinant of Grassmannian codes
Information Theory
2022-10-06 v1 math.IT
Abstract
We consider the chordal product determinant, a measure of the distance between two subspaces of the same dimension. In information theory, collections of elements in the complex Grassmannian are searched with the property that their pairwise chordal products are as large as possible. We characterize this function from an statistical perspective, which allows us to obtain bounds for the minimal chordal product and related energy of such collections.
Keywords
Cite
@article{arxiv.2210.02125,
title = {Statistical characterization of the chordal product determinant of Grassmannian codes},
author = {Javier Álvarez-Vizoso and Carlos Beltrán and Diego Cuevas and Ignacio Santamarıa and Vit Tucek and Gunnar Peters},
journal= {arXiv preprint arXiv:2210.02125},
year = {2022}
}
Comments
13 pages, 2 figures