Title :
Bounds for Codes in Products of Spaces, Grassmann, and Stiefel Manifolds
Author :
Bachoc, Christine ; Ben-Haim, Yael ; Litsyn, Simon
Author_Institution :
Lab. A2X, Univ. Bordeaux I, Talence
fDate :
3/1/2008 12:00:00 AM
Abstract :
Upper bounds are derived for codes in Stiefel and Grassmann manifolds with given minimum chordal distance. They stem from upper bounds for codes in the product of unit spheres and projective spaces. The new bounds are asymptotically better than the previously known ones.
Keywords :
codes; linear programming; Grassmann manifold; Stiefel manifold; codes; linear programming; minimum chordal distance; Code standards; Eigenvalues and eigenfunctions; Information theory; Linear programming; MIMO; Polynomials; Receiving antennas; Upper bound; Vectors; Coding theory; Grassman manifold; Stiefel manifold; minimum distance; multiple-input multiple output (MIMO); space–time codes; spherical codes;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2007.915916
