Statistical characterization of the chordal product determinant of Grassmannian codes

被引：0

作者：

Alvarez-Vizoso, Javier ^{[1
]}

Beltran, Carlos ^{[2
]}

Cuevas, Diego ^{[1
]}

Santamaria, Ignacio ^{[1
]}

Tucek, Vit ^{[3
]}

Peters, Gunnar ^{[3
]}

机构：

[1] Univ Cantabria, Dept Commun Engn, Plaza Ciencia 1, Santander 39005, Spain

[2] Univ Cantabria, Dept Math Stat & Comp, Av Castros 48, Santander 39005, Spain

[3] Huawei Technol, Dept Wireless Algorithms, S-16440 Kista, Sweden

来源：

INFORMATION AND INFERENCE-A JOURNAL OF THE IMA | 2023年 / 12卷 / 03期

关键词：

coherence; energy; Grassmannian codes; noncoherent communication; BOUNDS; COMMUNICATION;

D O I：

10.1093/imaiai/iaad035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：2406 / 2422

页数：17

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