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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

 Publisher: Oxford University Press

 Publication date: 01/09/2023

 No. of pages: 17

 Publication type: Article

 DOI: 10.1093/imaiai/iaad035

 ISSN: 2049-8772,2049-8764

 Spanish project: PID2020-113887GB-I00

 Publication Url: https://doi.org/10.1093/imaiai/iaad035

Authorship

JAVIER ALVAREZ VIZOSO

TUCEK, VÍT

PETERS, GUNNAR