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arXiv · 2210.02125

Statistical characterization of the chordal product determinant of Grassmannian codes

Javier Álvarez-Vizoso·Carlos Beltrán·Diego Cuevas·Ignacio Santamarıa·Vit Tucek·Gunnar Peters
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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.

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Javier Álvarez-Vizoso, Carlos Beltrán, Diego Cuevas, Ignacio Santamarıa, Vit Tucek, Gunnar Peters. 2022-10-05. Statistical characterization of the chordal product determinant of Grassmannian codes. https://arxiv.org/abs/2210.02125

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