Title :
Sphere-packing bounds in the Grassmann and Stiefel manifolds
Author_Institution :
Fraunhofer German-Sino Lab for Mobile Commun. MCI, Berlin
Abstract :
Applying the Riemann geometric machinery of volume estimates in terms of curvature, bounds for the minimal distance of packings/codes in the Grassmann and Stiefel manifolds will be derived and analyzed. In the context of space-time block codes this leads to a monotonically increasing minimal distance lower bound as a function of the block length. This advocates large block lengths for the code design
Keywords :
Hamming codes; block codes; space-time codes; Grassmann manifold; Hamming bounds; Riemann geometric machinery; Stiefel manifolds; space-time block codes; sphere packings; volume estimation; Block codes; Channel state information; Closed-form solution; MIMO; Machinery; Manifolds; Mobile communication; Performance analysis; Transmitters; Upper bound; Gilbert–Varshamov/Hamming bounds; Stiefel/Grassmann manifold; space– time codes; sphere packings;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2005.855594
