Sphere packing bounds in the Grassmann and Stiefel manifolds
Metric Geometry
2007-07-16 v4 Information Theory
math.IT
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
Cite
@article{arxiv.math/0308110,
title = {Sphere packing bounds in the Grassmann and Stiefel manifolds},
author = {Oliver Henkel},
journal= {arXiv preprint arXiv:math/0308110},
year = {2007}
}
Comments
Replaced with final version, 11 pages