DocumentCode
1178017
Title
Sphere-packing bounds in the Grassmann and Stiefel manifolds
Author
Henkel, Oliver
Author_Institution
Fraunhofer German-Sino Lab for Mobile Commun. MCI, Berlin
Volume
51
Issue
10
fYear
2005
Firstpage
3445
Lastpage
3456
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;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2005.855594
Filename
1512419
Link To Document