Title :
Bounds on packings of spheres in the Grassmann manifold
Author :
Barg, Alexander ; Nogin, Dmitry Yu
Author_Institution :
Lucent Technol. Bell Labs., Murray Hill, NJ, USA
fDate :
9/1/2002 12:00:00 AM
Abstract :
We derive the Gilbert-Varshamov and Hamming bounds for packings of spheres (codes) in the Grassmann manifolds over R and C. Asymptotic expressions are obtained for the geodesic metric and projection Frobenius (chordal) metric on the manifold.
Keywords :
codes; Gilbert-Varshamov bounds; Grassmann manifold; Hamming bounds; asymptotic expressions; chordal metric; codes; geodesic metric; packings of spheres; projection Frobenius metric; Codes; Eigenvalues and eigenfunctions; Extraterrestrial measurements; Level measurement; Matrix decomposition; Quantum mechanics; Radio access networks; Singular value decomposition; Upper bound; Volume measurement;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2002.801469
