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Statistical characterization of the chordal product determinant of Grassmannian codes

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.

 Fuente: Information and Inference: a Journal of the IMA, 2023, 12(3), 2406-2422

Editorial: Oxford University Press

 Fecha de publicación: 01/09/2023

Nº de páginas: 17

Tipo de publicación: Artículo de Revista

 DOI: 10.1093/imaiai/iaad035

ISSN: 2049-8772,2049-8764

 Proyecto español: PID2020-113887GB-I00

Url de la publicación: https://doi.org/10.1093/imaiai/iaad035

Autoría

JAVIER ALVAREZ VIZOSO

TUCEK, VÍT

PETERS, GUNNAR